Player-Compatible Learning and Player-Compatible Equilibrium
Theoretical Economics
2021-04-13 v8
Abstract
Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the magnitudes of the players' "trembles" onto different strategies. These restrictions capture the idea that trembles correspond to deliberate experiments by agents who are unsure of the prevailing distribution of play. PCE selects intuitive equilibria in a number of examples where trembling-hand perfect equilibrium (Selten, 1975) and proper equilibrium (Myerson, 1978) have no bite. We show that rational learning and weighted fictitious play imply our compatibility restrictions in a steady-state setting.
Cite
@article{arxiv.1712.08954,
title = {Player-Compatible Learning and Player-Compatible Equilibrium},
author = {Drew Fudenberg and Kevin He},
journal= {arXiv preprint arXiv:1712.08954},
year = {2021}
}