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A Fair Gain-Sharing Solution of Cooperative Dynamic Games

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  • David W. K. Yeung

    (SRS Consortium for Advanced Study in Cooperative Dynamic Games, Shue Yan University, Hong Kong, P. R. China2Center of Game Theory, St. Petersburg State University, St. Petersburg, Russia3Department of Finance, Asia University, Taiwan)

  • Leon A. Petrosyan

    (Faculty of Applied Mathematics-Control Processes and Center of Game Theory, St. Petersburg State University, St. Petersburg, Russia)

Abstract

This paper develops a novel dynamic fair gain-sharing cooperative solution that satisfies individual rationality, group optimality, time consistency, and fair-sharing property. A fair gain-sharing principle of cooperative gain is critical to obtaining the agreement of all players to cooperate and the scheme’s sustainability. In particular, the distribution of the cooperative gains reflects the contributions of players. This choice is guided by economic rationality-based arguments and is perceived as fair. An application example in environmental management is provided.

Suggested Citation

  • David W. K. Yeung & Leon A. Petrosyan, 2025. "A Fair Gain-Sharing Solution of Cooperative Dynamic Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 27(03), pages 1-21, September.
    • Handle: RePEc:wsi:igtrxx:v:27:y:2025:i:03:n:s0219198925500082
    DOI: 10.1142/S0219198925500082
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