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Characterizing the feasible payoff set of OLG repeated games

Author

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  • Kim, Daehyun
  • Morooka, Chihiro

Abstract

We study the set of (stationary) feasible payoffs of overlapping generation repeated games that can be achieved by action sequences in which every generation of players plays the same sequence of action profiles. First, we completely characterize the set of feasible payoffs given any fixed discount factor of players and the length of interaction. This allows us to obtain the feasible payoff set in closed form. Second, we provide novel comparative statics of the feasible payoff set with respect to the discount factor and the length of interaction. Interestingly, the feasible payoff set becomes smaller as players’ discount factor becomes larger. Additionally, we identify a necessary and sufficient condition for this monotonicity to be strict.

Suggested Citation

  • Kim, Daehyun & Morooka, Chihiro, 2025. "Characterizing the feasible payoff set of OLG repeated games," Journal of Mathematical Economics, Elsevier, vol. 116(C).
    • Handle: RePEc:eee:mateco:v:116:y:2025:i:c:s0304406824001423
    DOI: 10.1016/j.jmateco.2024.103082
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    Keywords

    Overlapping generation; Repeated games;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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