Learning social norms enhances compatibility in dynamic human-AI coordination
Abstract: Humans continuously coordinate with others in dynamic interactions, often through implicit, hard-to-quantify social norms that act as shared tacit expectations among interacting agents. As AI agents, including LLMs, become embedded in daily life, they increasingly participate in such interactions and reshape social interaction structures. Yet they often fail to coordinate with humans in an effective, considerate, and natural manner. We hypothesize that this gap arises because existing approaches align model behavior with human demonstrations without explicitly quantifying the underlying norms that generate such behavior. We selected pedestrian-vehicle interaction as a representative dynamic interaction and developed a simplified experimental platform that captures its key interactive features. From 3,456 dynamic human interactions collected via this platform, we identified three principles underlying human social norms: outcome predictability, value alignment, and advantage awareness. Incorporating these principles into AI agents significantly improves human-AI coordination. In the closed-loop interaction task with humans, the social-norm-informed LLM achieved a nearly fourfold higher total score than the baseline strategy and outperformed human-human interactions by 43%. These findings indicate that formalizing tacit social norms into explicit, quantifiable principles can enable AI agents to achieve mutually beneficial coordination in dynamic interactions, supporting their more natural integration into human society.
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Overview
This paper asks a simple question: How can AI behave in a more human-friendly way during fast, back-and-forth situations, like when a pedestrian and a car meet at a crosswalk? The researchers show that teaching AI clear “social norms” — shared expectations people rely on — helps the AI coordinate better with humans. They test this in a simplified pedestrian–vehicle game and find that AI guided by social norms is safer, more efficient, and even outperforms typical human–human pairs.
What were the researchers trying to find out?
They wanted to know:
- Why current AI systems (including chatty AIs like LLMs, or LLMs) often struggle in real-time, dynamic interactions with people.
- Whether hidden social rules people use can be turned into simple, measurable principles.
- If adding these principles to AI would help it coordinate better with humans without being too timid or too aggressive.
How did they study it?
The team built a simple, fast-paced game that captures the feeling of real-life crossing decisions:
- Two players (a pedestrian and a vehicle) try to cross an intersection first, using the keyboard to speed up or slow down in real time.
- The score encourages smart coordination, not reckless racing:
- Everyone starts with points. Changing speed costs points.
- The first to cross gets a bonus.
- Collisions are punished heavily (especially for the pedestrian), to reflect real-world safety.
They collected 3,456 human-versus-human interactions from 96 people. Then they tested AIs in two ways:
- Open-loop tests (like reacting to a replay): Because LLMs are slow to respond, the AI “stepped in” at important moments in recorded human games and chose actions for the next couple of seconds. A separate prediction model (think of it like a trained referee that watched a lot of games) estimated:
- Collision chance (safety).
- Chance of going first (assertiveness).
- Closed-loop tests (live play): They trained smaller, fast AI policies by “distilling” the LLM’s behavior into lightweight versions that could interact with humans in real time.
Along the way, they compared different prompting styles for the LLMs:
- Base: Just the rules and situation.
- SCoT: “Think about the other player’s intentions.”
- RA: “Avoid risk above all else.”
- HSN: New prompts that bake in human social norms found from the data.
They also trained imitation-learning agents (AI that tries to copy human behavior) on different slices of the human data, to see if copying alone was enough.
What social norms did they find?
From the human games, they discovered three key principles that make coordination work. You can think of them like good habits:
- Outcome predictability: Be clear about where things are headed.
- If your actions make your plan obvious early, the other person can adapt. The team measured “predictability” with an uncertainty score (lower is clearer). In successful games, uncertainty dropped quickly.
- Value alignment: Fit your goal to the other person’s goal.
- Good coordination happens when one party takes the lead and the other yields, not when both push or both hesitate. The team used a “social value orientation” measure to see how much each player’s choices favored themselves versus the other; balanced pairs converged to complementary roles.
- Advantage awareness: Recognize who has the edge and act accordingly.
- Sometimes the vehicle or the pedestrian is naturally closer or faster, or one has more to lose in a crash. Successful pairs respected these asymmetries: the advantaged one proceeded, the other gave way.
In everyday terms: make your intention legible, don’t fight or freeze at the same time, and acknowledge who has the right-of-way based on the situation.
What did they find, and why does it matter?
First, they showed that popular LLMs struggled in dynamic coordination:
- With basic instructions, several models raised collision risk without being better at going first.
- “Think about the other person” (SCoT) didn’t fix it.
- “Be very cautious” (RA) avoided crashes but became too timid, giving up too often.
Next, they encoded the three social-norm principles into the AI’s instructions (HSN). Results:
- Open-loop (reacting to recorded play): Across five different LLMs, HSN cut collision risk while keeping healthy assertiveness, beating both the Base and the other prompting styles.
- Closed-loop (live play with distilled, fast policies): The social-norm-informed AI:
- Scored nearly 4 times higher than the baseline strategy.
- Scored 43% higher than the average human–human pair.
- Helped its human partners score better too, meaning both sides benefited.
They also ran two important checks:
- Imitation learning alone wasn’t enough: Agents trained just to copy human moves didn’t reach the same level. Training only on “perfect” games even hurt generalization because the AI didn’t learn how to recover when things go wrong.
- Each principle mattered: When they removed any of the three principles, performance dropped in different ways. For example, advantage awareness was crucial when identical AIs played each other; without it, both tried to take the same role.
In short: Explicitly teaching the AI the “why” behind human coordination, not just the “what,” made it safer and smoother — without turning it into a pushover.
What’s the bigger picture?
This work suggests that getting AI to “fit in” with humans in fast, interactive settings isn’t just about following rules, copying data, or maximizing points. It’s about making the hidden social rules we intuit every day explicit and teachable. If we can capture core norms like clarity, complementary roles, and fair recognition of advantages, AIs can:
- Coordinate with us more naturally and safely.
- Reduce frustration and near-misses in shared spaces.
- Potentially improve teamwork in many dynamic tasks, from delivery robots and service bots in crowds to AI tools working alongside humans in time-sensitive jobs.
There are limits: The study used a simplified game, and today’s LLMs are still too slow for direct real-time play without distillation. But as AI gets faster and these principles are tested in richer environments, this approach could help AI become a better “social citizen” — not just following rules, but understanding the human rhythm of give-and-take.
Knowledge Gaps
Knowledge gaps, limitations, and open questions
Below is a focused list of what remains missing, uncertain, or unexplored, framed to guide actionable future work.
- External validity to real-world settings: The task uses a highly simplified 2D interface with keyboard speed changes, perfect state observability, no occlusions, no sensor noise, and no multimodal cues (e.g., gaze, gestures, hand signals). It is unclear how the three principles translate to embodied agents with real perception, actuation limits, and delayed/partial observability.
- Two-agent limitation: All evaluations involve only one pedestrian and one vehicle. Scaling the principles to multi-agent intersections (multiple pedestrians, cyclists, vehicles) and crowd scenarios (many-body coordination) is untested.
- Cultural and contextual generalization: Participants were drawn from a single country and lab setting. Whether the extracted norms hold across cultures, driving/pedestrian conventions, legal regimes, and urban morphologies is unknown.
- Norm sensitivity to incentive design: The scoring rules (e.g., penalty asymmetry −150 vs −100, first-pass bonus, speed-change costs) are design choices. It remains unknown how changes in incentives alter the inferred principles or their thresholds and whether principles are robust across payoff structures.
- Dependence on an outcome-prediction oracle: Game entropy and first-pass/collision probabilities rely on an LSTM trained on the same domain. The calibration, out-of-distribution robustness, and error propagation from this model into “predictability” measurements and evaluations are not quantified.
- Ad hoc thresholding for predictability: The cumulative-entropy threshold (5.27) is derived from quartiles of categories; no cross-validated or theoretically grounded procedure establishes its stability, confidence intervals, or transferability to new settings.
- SVO operationalization validity: The paper maps kinematic features to a continuous “reward-to-self/other” with hand-picked exponentials and scaling (e.g., a, v_mean). Psychometric validity versus standard SVO instruments, sensitivity analyses, and parameter identifiability are not provided.
- Causality vs correlation in norm extraction: Principles are inferred by contrasting successful vs unsuccessful trials without causal controls. Confounds (e.g., initial-state advantages, learning over time, exposure to rule-based agents) may drive observed differences; causal identification or interventional tests are absent.
- Influence of rule-based agent exposure: Participants intermittently interacted with a scripted agent. The extent to which exposure to that agent shaped human strategies and, in turn, biased the extracted norms is not analyzed.
- Limited open-loop window and keyframe sampling: The 2 s open-loop evaluation and 1:1:1 sampling of keyframe types may not reflect natural decision timing distributions; how results change with longer windows, continuous closed-loop evaluation, or different sampling schemes is unknown.
- Closed-loop human study scope: The number of human participants, sessions, and statistical power for the closed-loop, distilled-policy evaluation is not reported in the main text; potential learning, fatigue, or order effects are not quantified.
- Absence of subjective human measures: Claims about improved “mutual benefit” and social compatibility are supported by score metrics, not by human-reported trust, comfort, perceived courtesy, or cognitive load; subjective and physiological measures are missing.
- Robustness to strategic or adversarial behavior: The framework assumes boundedly rational, norm-compliant humans. How the principles perform against deceptive, malicious, or highly aggressive agents is not studied.
- Safety under distribution shift: No stress tests under rare events (e.g., sudden occlusion, slips, sensor dropout), extreme speed differentials, or emergency braking. Formal robustness or worst-case safety guarantees are absent.
- Principle weighting and synthesis: The three principles are combined via prompts (and in Supplementary via reward shaping) without a principled multi-objective framework. How to learn, adapt, or certify weights online, and how to arbitrate trade-offs, is unresolved.
- Mechanistic theory gap: The paper identifies descriptive principles but does not provide a generative, mechanistic model of human decision-making that would derive these principles or predict when they will (or will not) emerge.
- Transfer beyond pedestrian-vehicle: Claims of generality to other dynamic domains (e.g., service robots, warehouse logistics) are untested; no cross-domain experiments demonstrate portability of metrics or prompts.
- Comparison to stronger learning baselines: Imitation baselines are relatively simple. Whether advanced IRL, causal imitation, offline RL with risk constraints, or game-theoretic inverse modeling could recover similar or superior norms remains an open benchmark.
- Fairness and normative legitimacy: “Advantage awareness” as implemented may encode or amplify asymmetries (e.g., systematically favoring vehicles). A fairness analysis (across roles, vulnerability, or protected attributes) and alignment with legal/ethical norms is missing.
- Interaction with explicit rules: How these implicit norms interface with formal traffic laws, right-of-way rules, and jurisdictional differences (and how to resolve conflicts) is not specified.
- Distillation fidelity and verification: Guarantees that distilled policies faithfully preserve principle compliance are not provided; formal verification or interpretability tools for checking norm adherence are absent.
- Prompt robustness and reproducibility: The HSN prompt’s sensitivity to wording, ordering, or minor edits, and robustness across LLM versions/providers, is not characterized. Full prompt/code/data release and replication instructions are not detailed in the main text.
- Physical realism of control: Keyboard-based discrete speed changes and simplified kinematics ignore jerk, comfort constraints, and actuator/sensor delays; evaluation on physically realistic controllers and vehicles/pedestrians is an open step.
- Long-horizon and repeated interactions: The study deliberately avoids learning across trials, but real life involves history, reputation, and adaptation. How norms evolve over repeated interactions and how agents should update is unexplored.
Practical Applications
Below are concrete, real-world applications that follow directly from the paper’s findings, methods, and innovations. Each item names the sector, sketches tools/products/workflows that could emerge, and notes assumptions or dependencies that affect feasibility.
Immediate Applications
Transportation and Robotics
- Right-of-way negotiation module for autonomous vehicles (sector: transportation)
- What: Add explicit “P/V/A” constraints—Outcome Predictability, Value Alignment, Advantage Awareness—to AV planning layers to balance safety and assertiveness at unsignalized intersections and during pedestrian encounters.
- Tools/products: Norm-Aware Coordination SDK; “Advantage-aware” planner plug-in; scenario library reflecting asymmetric penalties.
- Dependencies/assumptions: Needs robust perception; domain calibration of penalties/asymmetries; validation in geographies with differing norms; regulatory acceptance.
- Sidewalk and service robot navigation policy (sector: robotics, last-mile delivery)
- What: Use distilled lightweight policies that implement P/V/A to govern passing/yielding with pedestrians and other robots in hallways, sidewalks, lobbies.
- Tools/products: “Right-of-Way Negotiator” navigation module; on-device “ambiguity meter” that suppresses abrupt moves when entropy spikes.
- Dependencies/assumptions: Onboard compute for real-time inference; curated local data to tune SVO targets and advantage heuristics; fallback safety constraints.
- Warehouse/factory HRI lane-sharing (sector: robotics, manufacturing)
- What: Embed P/V/A into mobile robot and forklift path planners to reduce near-miss events and improve throughput in mixed human–robot aisles.
- Tools/products: P/V/A reward-shaping add-on for existing RL planners; KPIs tracking “collision probability” and “first-pass efficiency.”
- Dependencies/assumptions: Access to site-specific traffic patterns; buy-in from safety teams for new KPIs; integration with existing safety PLCs.
Software and LLM Agents
- Norm-aware prompting for dynamic coordination tasks (sector: software, enterprise tools)
- What: Apply HSN prompting templates to LLM agents that coordinate in time-sensitive tasks (dispatching, load balancing, ticket triage), improving “assertive-but-safe” actions.
- Tools/products: HSN Prompt Pack (Base + P + V + A); runtime “outcome entropy” monitor that makes the agent claim/cede priority earlier.
- Dependencies/assumptions: Task states must be convertible to compact, timely prompts; latency budgets; human-in-the-loop override.
- Conflict-aware scheduling and collaboration assistants (sector: productivity software)
- What: Map “advantage awareness” to who should concede/reschedule; use “predictability” to communicate likely outcomes early (clear role-claiming in shared docs/calendars).
- Tools/products: Calendar plugin with “clear-claim” suggestions; meeting bot that adapts assertiveness via a live ambiguity score.
- Dependencies/assumptions: Organizational norms vary; consent for behavioral telemetry; careful UX to avoid undue pushiness.
Safety and Evaluation
- Normative performance auditing for AVs and robots (sector: safety engineering)
- What: Add game-entropy and first-pass/collision-probability metrics to simulation test suites to evaluate social compatibility, not just collision/minimum-distance.
- Tools/products: NormScore Benchmark Suite; LSTM-based outcome predictor retrained on domain data; keyframe-based open-loop evaluation harness for LLM/ML policies.
- Dependencies/assumptions: Representative human–human datasets per domain; metric calibration to reduce false positives in rare events.
- Product safety cases and hazard analysis (sector: compliance)
- What: Tie common failure modes to violations of P/V/A; document mitigations that lower entropy early, align values, and respect asymmetries.
- Tools/products: Safety case templates with P/V/A checklists; runtime monitors that trigger safe fallback on entropy spikes.
- Dependencies/assumptions: Acceptance by auditors; traceability from logs to metrics; domain-specific thresholds.
Training and Education
- VR/desktop simulators for operator training (sector: transportation, emergency response)
- What: Use the simplified interaction platform to train AV safety drivers, scooter/e-bike couriers, and responders to “read” and produce predictable signals.
- Tools/products: Scenario packs with P/V/A feedback overlays; post-session analytics on value alignment and ambiguity.
- Dependencies/assumptions: Transfer validity from simplified scenarios; engagement and instructional design quality.
Research and Tooling (Academia and R&D)
- Reusable framework to extract and test social norms (sector: academia, HRI labs)
- What: Replicate the platform and analysis pipeline to quantify norms in other dynamic tasks (collaborative manipulation, drone–human path sharing).
- Tools/products: Open-source code for entropy/SVO metrics, keyframe mining, pairing scheme; ablation study templates for P/V/A.
- Dependencies/assumptions: Access to participants; IRB approval; domain-specific reward and asymmetry design.
- RL reward-shaping components (sector: AI/robotics research)
- What: Implement P/V/A as plug-and-play reward terms that complement task rewards, shown to outperform task-only optimization.
- Tools/products: pip-installable “norm_rewards” library with examples for navigation stacks (ROS2, Isaac).
- Dependencies/assumptions: Stable sim-to-real transfer; avoidance of reward hacking; tuning for environment dynamics.
Policy Pilots
- Procurement and testbed requirements for public-space robots (sector: public policy, smart cities)
- What: Cities require evidence of norm-aware coordination (P/V/A metrics) before sidewalk/indoor robot deployment in public facilities.
- Tools/products: City-run pilot protocols; standardized reporting of predictability and value alignment scores.
- Dependencies/assumptions: Multistakeholder agreement on thresholds; data-sharing frameworks; privacy safeguards.
Long-Term Applications
Transportation Systems and Smart Cities
- Production-grade, norm-aware AV policy layer (sector: transportation)
- What: Fully integrated, perception-to-action stack that enforces P/V/A in real time across cultures and contexts, with certified metrics.
- Tools/products: Culture-adaptive “norm parameterization” module; certified NormScore tests in regulatory approval pipelines.
- Dependencies/assumptions: Low-latency on-vehicle inference; extensive field data; global regulatory harmonization.
- Intersection and crowd orchestration via digital twins (sector: smart city, mobility ops)
- What: City-level simulators that coordinate AVs, pedestrians, bikes using P/V/A to reduce friction and near-misses in shared spaces.
- Tools/products: Urban digital twin with norm-aware multi-agent control; APIs for event operations.
- Dependencies/assumptions: Integrated sensing infrastructure; cross-agency data governance; robust privacy guarantees.
General-Purpose Norm Engines
- Cross-domain “social norm middleware” for AI agents (sector: software platforms)
- What: A service that exposes P/V/A APIs and metrics to any agent (chat, robot, trading bot), enabling plug-in social compatibility.
- Tools/products: NormEngine microservice; SDKs for web, mobile, robotics.
- Dependencies/assumptions: Standardized state abstractions; strong sandboxing; developer ecosystem.
- Closed-loop LLM agents for dynamic HRI (sector: AI systems)
- What: With latency breakthroughs, LLMs run directly in real time, using P/V/A as internal constraints rather than distilled proxies.
- Tools/products: On-device accelerator hardware; streaming perception-to-language-to-action loops.
- Dependencies/assumptions: Orders-of-magnitude latency reduction; real-time safety validation; robust interruptibility.
Sector-Specific Expansions
- Healthcare and eldercare robots (sector: healthcare, assistive tech)
- What: Bed/IV-pole maneuvering, hallway passing, and doorway negotiations that respect patient/staff asymmetries and signal intent early.
- Tools/products: Hospital navigation policies tuned for clinical norms; bedside “courtesy behaviors.”
- Dependencies/assumptions: Clinical validation; infection control constraints; liability frameworks.
- Collaborative manipulation and assembly (sector: advanced manufacturing)
- What: Dynamic role negotiation (who leads/follows) in handovers and co-assembly using value alignment and advantage cues.
- Tools/products: Co-manipulation controllers with SVO targets; operator feedback displays for predictability.
- Dependencies/assumptions: Tactile/perceptual fidelity; standardized ergonomic metrics; union/safety approvals.
- Public airspace micro-mobility (sector: drones, logistics)
- What: Norm-aware drone traversal in pedestrian corridors and indoor atria with clear vertical/horizontal yielding conventions.
- Tools/products: UTM-compatible P/V/A policies; “conflict predictability” telemetry for regulators.
- Dependencies/assumptions: Airspace integration; fail-safe behaviors; noise and privacy constraints.
Governance, Standards, and Law
- Social compatibility standards and certification (sector: standards bodies, regulators)
- What: ISO/UL-style standards that operationalize P/V/A with reference datasets, audits, and pass/fail thresholds for deployment.
- Tools/products: Conformance test suites; disclosure templates for norm metrics.
- Dependencies/assumptions: Consensus on metrics and thresholds; cross-cultural adjustments; enforcement mechanisms.
- Real-time norm compliance auditing and incident forensics (sector: safety governance)
- What: Watchdog systems that detect norm violations via entropy spikes and misaligned SVO, triggering safe fallback and logging.
- Tools/products: Onboard “NormGuard” monitor; forensic viz of P/V/A time series post-incident.
- Dependencies/assumptions: Tamper-proof logging; acceptable false-positive rates; privacy-preserving analytics.
Science and Education
- Cross-cultural, age-specific, and context-dependent norm discovery (sector: academia)
- What: Expand the framework to learn how norms vary by culture, environment, and roles; derive mechanistic models of P/V/A origins.
- Tools/products: Multi-site datasets; open benchmarks for cultural adaptation.
- Dependencies/assumptions: Diverse participant recruitment; ethical oversight; reproducibility across labs.
- Curricula on human–AI coordination (sector: education)
- What: Courses and labs that teach students to engineer and evaluate norm-aware agents using entropy/SVO/advantage metrics.
- Tools/products: Teaching kits with simulators and assignments; capstone projects on norm transfer across domains.
- Dependencies/assumptions: Institutional adoption; up-to-date toolchains; assessment rubrics.
Notes on key assumptions that recur across applications:
- Transferability: P/V/A principles are hypothesized to generalize but must be re-parameterized with domain-specific data and asymmetries.
- Data and measurement: High-quality human–human datasets per domain are needed to train outcome predictors and calibrate SVO measures.
- Latency and compute: Real-time closed-loop use of LLMs remains constrained by inference latency; distilled/lightweight policies are a practical bridge.
- Cultural/organizational norms: Value alignment targets and advantage heuristics vary by locale and institution; miscalibration can reduce acceptance.
- Safety and liability: Regulatory frameworks must recognize normative metrics alongside traditional safety metrics, and clarify liability when assertiveness is appropriate.
Glossary
- Ablation analysis: A method where components of a system are removed or altered to determine their individual contributions to overall performance. "Ablation analysis demonstrated that all three principles are necessary."
- Advantage awareness: The principle that agents should recognize and act according to relative advantages (intrinsic or situational) to coordinate effectively. "Advantage awareness. In dynamic interactions, the two parties often differ in relative advantages, and effective coordination requires that these advantages be recognized42-44."
- Agent-intrinsic asymmetry: A built-in inequality between agents (e.g., unequal penalties) that affects their strategic behavior. "Agent-intrinsic asymmetry reflects unequal collision penalties, with pedestrians penalized more heavily than vehicles."
- Boundedly rational: Describes decision-making that is rational within cognitive or informational constraints rather than fully optimal. "Rather, the normative structure underlying such coordination is reflected in intuitive, boundedly rational behaviors that may appear suboptimal under conventional optimization criteria39."
- Chi-square tests: Statistical tests assessing associations between categorical variables. "Chi-square tests confirmed that both initial position (x2(4) = 444.26, P < 0.001, Cramér's V = 0.254) and initial speed (x2(4) = 217.16, P < 0.001, V = 0.177) significantly influenced outcomes, confirming the effectiveness of the intended asymmetry manipulation."
- Closed-loop interaction: Real-time interactive setting where actions influence subsequent states and responses continuously. "In the closed-loop interaction task with humans, the social-norm-informed LLM achieved a nearly fourfold higher total score than the baseline strategy and outperformed human-human interactions by 43%."
- Collision probability: The likelihood that an interaction results in a collision, often estimated by a predictive model. "We evaluated LLM coordination using two representative metrics: mean collision probability pc and mean first-passage probability PF."
- Cramér's V: An effect size measure for chi-square tests indicating the strength of association between categorical variables. "Chi-square tests confirmed that both initial position (x2(4) = 444.26, P < 0.001, Cramér's V = 0.254) and initial speed (x2(4) = 217.16, P < 0.001, V = 0.177) significantly influenced outcomes, confirming the effectiveness of the intended asymmetry manipulation."
- Cross-entropy loss: A loss function used for classification that measures the difference between predicted and true probability distributions. "The network was trained using cross-entropy loss."
- Cumulative entropy: The time-integrated uncertainty over an interaction, summarizing how predictability evolves. "We further computed cumulative entropy (Methods) and identified a quantitative threshold separating high- quality coordination from less successful coordination (Fig. 3b, right)."
- Distillation: Compressing the behavior or knowledge of a larger model into a smaller, faster policy or model. "After distillation into lightweight policies, the three principles continued to guide effective coordination in real-time human-AI interaction"
- First-passage probability: The probability that a given agent will pass first in the interaction. "We evaluated LLM coordination using two representative metrics: mean collision probability pc and mean first-passage probability PF."
- Game entropy: An information-theoretic measure of uncertainty over possible outcomes during an interaction. "We quantified this property using game entropy, defined as the information entropy of the real-time outcome distribution predicted by an LSTM (Methods)."
- Imitation learning: Learning policies by mimicking expert demonstrations rather than optimizing explicit rewards. "imitation learning fails to recover latent coordination structure34,"
- Inverse reinforcement learning: Inferring the underlying reward function from observed behavior. "A few studies have begun to address dynamic interaction, drawing on multi-agent reinforcement learning, imitation learning, inverse reinforcement learning, and rule-based planning15,30-32."
- Keyframe: A selected moment representing a clear decision point used to evaluate or condition model actions. "We defined three types of keyframes: acceleration frames, corresponding to transitions from constant-speed to accelerating motion; deceleration frames, corresponding to transitions from constant-speed to decelerating motion; and constant-speed frames, randomly sampled from constant-speed segments longer than 20 frames."
- Latent representation: A learned internal feature vector that summarizes historical input for downstream prediction. "A two-layer LSTM encoded the sequence into a latent representation h20 : h.(2) = LSTM(X), which was passed to a multilayer perceptron (MLP) classification head to produce logits z E R3."
- Long short-term memory (LSTM): A recurrent neural network architecture designed to model temporal sequences with long-range dependencies. "a long short-term memory (LSTM) network trained on human interaction data (Methods)."
- Multilayer perceptron (MLP): A feedforward neural network composed of multiple layers of perceptrons used for classification or regression. "which was passed to a multilayer perceptron (MLP) classification head to produce logits z E R3."
- Multi-agent reinforcement learning: Reinforcement learning methods where multiple agents learn and interact within a shared environment. "A few studies have begun to address dynamic interaction, drawing on multi-agent reinforcement learning, imitation learning, inverse reinforcement learning, and rule-based planning15,30-32."
- Nash equilibrium: A game-theoretic solution concept where no player can benefit by unilaterally changing strategy. "coordination emerges not through explicit Nash- equilibrium reasoning but through the implicit alignment of social preferences over each other's outcomes11."
- Normative structure: The underlying set of principles or norms that guide appropriate social behavior in interactions. "Rather, the normative structure underlying such coordination is reflected in intuitive, boundedly rational behaviors that may appear suboptimal under conventional optimization criteria39."
- Open-loop evaluation: An assessment setting where a model acts against fixed, non-responsive trajectories or data. "Across all five models, the human social norms (HSN) prompting strategy consistently improved coordination with humans in the open-loop evaluation,"
- Outcome predictability: The principle that interactions should evolve in a legible, anticipatable manner for both parties. "Outcome predictability. Effective coordination requires that the interaction remain legible to both parties, enabling each to anticipate how it is likely to unfold."
- Psychometric construct: A measured psychological variable designed to quantify latent traits or preferences. "We used social value orientation (SVO), a psychometric construct, to quantify the weight a player assigns to the other player's payoff relative to their own."
- Risk aversion: A preference or strategy that prioritizes safety by avoiding risky outcomes such as collisions. "To further reduce LLM collision risk, we used a risk- aversion (RA) prompt that prioritized collision avoidance over being the first to pass25"
- Rule-based planning: Decision-making based on hand-crafted rules rather than learned policies. "A few studies have begun to address dynamic interaction, drawing on multi-agent reinforcement learning, imitation learning, inverse reinforcement learning, and rule-based planning15,30-32."
- Self-play: Training or evaluation where an agent interacts with copies of itself to assess stability and coordination. "By contrast, self-play revealed that advantage awareness is equally essential for stable coordination (Fig. 5b)."
- Shannon entropy: An information-theoretic measure quantifying uncertainty in a probability distribution. "We quantified the uncertainty of the interaction at timestep t using Shannon entropy:"
- Social Chain-of-Thought (SCoT): A prompting strategy that elicits explicit reasoning about others’ intentions before acting. "Building on the Base prompt, we first evaluated the Social Chain-of- Thought (SCoT) prompt, which instructed the LLM to infer the opponent's intent before acting accordingly24"
- Social Value Orientation (SVO): A measure of how much an individual values others’ outcomes relative to their own. "We used social value orientation (SVO), a psychometric construct, to quantify the weight a player assigns to the other player's payoff relative to their own."
- Temperature-scaled softmax: A softmax variant with a temperature parameter to adjust confidence/sharpness of output probabilities. "During inference, probabilities were estimated using a temperature-scaled softmax, pi = exp(Zį/T) , with a fixed temperature of T = 4 to reduce short-term probability fluctuations."
- Time-to-conflict-point: The estimated time remaining for an agent to reach the point where paths may intersect. "At each timestep t, the model received an 8-dimensional kinematic feature vector xt E R8, consisting of the positions, speeds, distances to the conflict point, and time-to-conflict-point for both agents."
- Two-sided permutation tests: Nonparametric significance tests that compare observed statistics to a distribution generated by label permutations. "Asterisks denote statistical significance relative to the human baseline based on two-sided permutation tests (10,000 resamples): * P< 0.05, ** P < 0.01, *** P < 0.001; n.s., not significant."
- Two-way ANOVA: A statistical test analyzing the effects of two independent factors and their interaction on a dependent variable. "To examine whether demographic factors influenced coordination performance, we conducted a two-way ANOVA on mean individual scores."
- Value alignment: The principle that agents should adopt complementary priorities to avoid conflict and coordinate smoothly. "Value alignment. Successful coordination depends on complementary value orientations."
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