Characterization of equilibrium existence and purification in general Bayesian games

Autor: He, Wei, Sun, Xiang, Sun, Yeneng, Zeng, Yishu
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: This paper studies Bayesian games with general action spaces, correlated types and interdependent payoffs. We introduce the condition of ``decomposable coarser payoff-relevant information'', and show that this condition is both sufficient and necessary for the existence of pure-strategy equilibria and purification from behavioral strategies. As a consequence of our purification method, a new existence result on pure-strategy equilibria is also obtained for discontinuous Bayesian games. Illustrative applications of our results to oligopolistic competitions and all-pay auctions are provided.
Databáze: arXiv