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Characterizing the Feasible Payoff Set of OLG Repeated Games

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  • Daehyun Kim
  • Chihiro Morooka

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

  • Daehyun Kim & Chihiro Morooka, 2023. "Characterizing the Feasible Payoff Set of OLG Repeated Games," Papers 2303.12988, arXiv.org, revised Dec 2024.
    • Handle: RePEc:arx:papers:2303.12988
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    5. Chihiro Morooka, 2021. "Equilibrium payoffs in two-player discounted OLG games," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1021-1032, December.
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