Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/233303 
Authors: 
Year of Publication: 
2013
Series/Report no.: 
Discussion paper No. 87
Publisher: 
Aboa Centre for Economics (ACE), Turku
Abstract: 
This paper considers policies and payoffs corresponding to subgame perfect equilibrium strategies in discounted stochastic games with finitely many states. It is shown that a policy is induced by an equilibrium strategy if and only if it can be supported with the threat of reverting to the induced policy that gives the least equilibrium payoff for the deviator. It follows that the correspondence of subgame perfect equilibrium payoffs is the largest fixed-point of a correspondence-valued operator defined by the players's incentive compatibility conditions. Moreover, the fixed-point iteration converges to the equilibrium payoff correspondence.
Subjects: 
Subgame Perfect Equilibria in Discounted Stochastic Games
JEL: 
C73
Document Type: 
Working Paper

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