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Nontransferable Utility Cooperative Dynamic Games

In: Handbook of Dynamic Game Theory

Author

Listed:
  • David W. K. Yeung

    (Hong Kong Shue Yan University, SRS Consortium for Advanced Study in Dynamic Games)

  • Leon A. Petrosyan

    (St Petersburg State University, Faculty of Applied Mathematics-Control Processes)

Abstract

Cooperation in an inter-temporal framework under nontransferable utility/payoffs (NTU) presents a highly challenging and extremely intriguing task to game theorists. This chapter provides a coherent analysis on NTU cooperative dynamic games. The formulations of NTU cooperative dynamic games in continuous time and in discrete time are provided. The issues of individual rationality, Pareto optimality, and an individual player’s payoff under cooperation are presented. Monitoring and threat strategies preventing the breakup of the cooperative scheme are presented. Maintaining the agreed-upon optimality principle in effect throughout the game horizon plays an important role in the sustainability of cooperative schemes. The notion of time (subgame optimal trajectory) consistency in NTU differential games is expounded. Subgame consistent solutions in NTU cooperative differential games and subgame consistent solutions via variable payoff weights in NTU cooperative dynamic games are provided.

Suggested Citation

  • David W. K. Yeung & Leon A. Petrosyan, 2018. "Nontransferable Utility Cooperative Dynamic Games," Springer Books, in: Tamer Başar & Georges Zaccour (ed.), Handbook of Dynamic Game Theory, chapter 14, pages 633-670, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-44374-4_13
    DOI: 10.1007/978-3-319-44374-4_13
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