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- W2115898043 abstract "This paper develops recursive methods for considering stationary sequential equilibria in games with private actions and signals (private monitoring games), where play is assumed not only to continue forever into the future, but is also assumed to have occurred forever into the past. In particular, we develop set-based methods for constructing all pure strategy equilibria of the subclass of strategies where each players’ action, but not his beliefs, depends only on what he observed in the previous k periods. We then connect equilibria of games with infinite histories to the more traditional games with a start date. We show that each k-history dependent sequential equilibrium in a game with infinite history defines a simple correlated equilibrium for a game with a starting date. Further, for any correlation device which signals fictitious private k-period histories, we derive setbased necessary and sucient conditions for this correlation device to deliver a correlated equilibrium of the game with a start date when coupled with a k-history dependent sequential equilibrium in the infinite history game. Since sequential equilibria are examples of correlated equilibria (with degenerate signaling devices) these methods deliver simple necessary and sucient conditions for constructing all k-history dependent pure strategy sequential equilibria of private monitoring games with a start date." @default.
- W2115898043 created "2016-06-24" @default.
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- W2115898043 date "2006-12-03" @default.
- W2115898043 modified "2023-09-27" @default.
- W2115898043 title "Sequential Equilibria with Infinite Histories" @default.
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