We thank Manuel Amador, Kyle Bagwell, Aaron Bodoh-Creed, Matt Elliot, Johannes Hörner, Matt Jackson, Carlos Lever, Jon Levin, Romans Pancs, Andy Skrzypacz, and, especially, Ilya Segal for useful discussions. We are grateful to a co-editor and four anonymous referees for comments. Escobar acknowledges the support of Fondecyt Project 11090166 and the Millennium Institute on Complex Engineering Systems. Toikka acknowledges financial support from the Yrjö Jahnsson Foundation. An earlier version of this work was circulated as “A Folk Theorem With Markovian Private Information.”
Efficiency in Games With Markovian Private Information
Article first published online: 18 SEP 2013
© 2013 The Econometric Society
Volume 81, Issue 5, pages 1887–1934, September 2013
How to Cite
Escobar, J. F. and Toikka, J. (2013), Efficiency in Games With Markovian Private Information. Econometrica, 81: 1887–1934. doi: 10.3982/ECTA9557
- Issue published online: 18 SEP 2013
- Article first published online: 18 SEP 2013
- Manuscript received September, 2010; final revision received September, 2012.
- Repeated Bayesian games;
- Markov chains
We study repeated Bayesian games with communication and observable actions in which the players' privately known payoffs evolve according to an irreducible Markov chain whose transitions are independent across players. Our main result implies that, generically, any Pareto-efficient payoff vector above a stationary minmax value can be approximated arbitrarily closely in a perfect Bayesian equilibrium as the discount factor goes to 1. As an intermediate step, we construct an approximately efficient dynamic mechanism for long finite horizons without assuming transferable utility.