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Intervening Duality Strategic Equivalence And Nonconstant Sum Bimatrix Games

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  • MICHAEL J. RYAN

    (Hull University, Department of Economics, Cottingham Road, Hull HU6 7RX, England)

Abstract

In 1995 I introduced the idea of intervening duality with the context of matching pennies games between two persons. I subsequently extended that idea with papers relating first to experimenter-experiment interactions via an intervening — and explicitly specified — die casting experiment and, secondly, to farmer-landowner rent bargaining with intervening weather forecasts modelled as bargaining instruments. The purpose of the present paper is to provide general results which not only specialise to these three previous classes of applications, but which use the idea of strategic equivalence to provide a formal basis for the analysis of large classes of explicitly nonconstant sum bimatrix games, including the prisoners dilemma.

Suggested Citation

  • Michael J. Ryan, 2005. "Intervening Duality Strategic Equivalence And Nonconstant Sum Bimatrix Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 91-105.
    • Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:01:n:s0219198905000429
    DOI: 10.1142/S0219198905000429
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    Keywords

    Strategic equivalence; nonconstant sum games; prisoners dilemma;
    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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