Econometrica: Sep 1985, Volume 53, Issue 5

Repeated Principal-Agent Games with Discounting

https://doi.org/0012-9682(198509)53:5<1173:RPGWD>2.0.CO;2-M
p. 1173-1198

Roy Radner

In a repeated principal-agent game (supergame) in which each player's criterion is his long-run average expected utility, efficient behavior can be sustained by a Nash equilibrium if it is pareto-superior to a one-period Nash equilibrium. Furthermore, if the players discount future expected utilities, then for every positive epsilon, and every pair of discount factors sufficiently close to unity (given epsilon), there exists a supergame equilibrium that is within epsilon (in normalized discounted expected utility) of the target efficient behavior. These supergame equilibria are explicitly constructed with simple "review strategies."

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