Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/221366 
Year of Publication: 
1992
Series/Report no.: 
Discussion Paper No. 1009
Publisher: 
Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science, Evanston, IL
Abstract: 
We consider an infinite dynamic game played by one large player and a large number of small players. State variables are allowed, and public histories include only the play of the large player, the aggregate play of the small players and the aggregate state variable. We use a reputational argument that restricts the set of equilibria to profiles that give the large player almost what he could get by committing to an optimal strategy as his discount factor approaches 1. Furthermore we identify a class of dynamic games where this result holds even if the small players' discount factor also approaches 1.
Document Type: 
Working Paper

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