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arXiv · 2005.05586

Existence of structured perfect Bayesian equilibrium in dynamic games of asymmetric information

Deepanshu Vasal
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Abstract

In~[1],authors considered a general finite horizon model of dynamic game of asymmetric information, where N players have types evolving as independent Markovian process, where each player observes its own type perfectly and actions of all players. The authors present a sequential decomposition algorithm to find all structured perfect Bayesian equilibria of the game. The algorithm consists of solving a class of fixed-point of equations for each time $t,\pi_t$, whose existence was left as an open question. In this paper, we prove existence of these fixed-point equations for compact metric spaces.

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Deepanshu Vasal. 2020-05-12. Existence of structured perfect Bayesian equilibrium in dynamic games of asymmetric information. https://arxiv.org/abs/2005.05586

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