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Strong Nash Equilibrium In Multistage Games

Author

Listed:
  • L. A. PETROSJAN

    (Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Bibliotechnaya sq.2, Petrodvorets, St. Peterburg, 198504, Russia)

  • L. V. GRAUER

    (Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Bibliotechnaya sq.2, Petrodvorets, St. Peterburg, 198504, Russia)

Abstract

Infinite multistage gamesGwith gamesΓ(·)played on each stage are considered. The definition of path and trajectory in graph tree are introduced. For infinite multistage gamesGa regularization procedure is introduced and in the regularizied game a strong Nash Equilibrium (coalition proof) is constructed. The approach considered in this paper is similar to one used in the proof of Folk theorems for infinitely repeated games. The repeatedn-person "Prisoner's Dilemma" game is considered, as a special case. For this game a strong Nash Equilibrium is found.

Suggested Citation

  • L. A. Petrosjan & L. V. Grauer, 2002. "Strong Nash Equilibrium In Multistage Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 255-264.
    • Handle: RePEc:wsi:igtrxx:v:04:y:2002:i:03:n:s0219198902000689
    DOI: 10.1142/S0219198902000689
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    More about this item

    Keywords

    Game; equilibrium; regularization; time-consistent imputation distribution procedure; strong transferable Nash equilibrium;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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