Extend singular equilibrium to strategic environments

Develop singular-equilibrium concepts for games with multiple players and mixed actions, extending the single-agent framework studied for pure actions.

Background

The paper defines singular equilibrium for a single Bayesian learning agent whose actions affect the data-generating process. The concept restricts long-run beliefs to parameters in the concentration set selected by the local learning coefficient.

The authors explicitly identify extending this solution concept to multi-player games and mixed actions as an unresolved extension of their framework.

References

Several extensions remain open. First, one could define and study singular equilibria in games with multiple players and with mixed actions.

— Singular Equilibrium and Selection of Narratives  (2610.11615 - Jin, 8 Oct 2026) in Section 6, Concluding Remarks