Develop a fully dynamic model of the verification cost function Φ^i

Develop a fully dynamic, equilibrium-based model of the verification cost function Φ^i(A^i(t)) that endogenizes validator incentives, search effort, community participation, adversarial response probabilities, and prediction market liquidity within the OpenAlpha validation mechanism.

Background

The verification cost function Φ^i captures protocol expenditures related to validating a strategy, including prediction market rewards, deep-search audits, gas costs, and dispute resolution. The text emphasizes Φ^i is endogenous to system behavior and depends on factors such as participation and liquidity.

A comprehensive treatment requires modeling strategic interactions among validators and auditors. The authors explicitly leave this equilibrium analysis to future work, making the construction of a dynamic Φ^i a stated open task.