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Joint Production Games And Share Functions

Author

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  • Roger Hartley

    () (Keele University Department of Economics)

  • Richard Cornes

    (School of Economics, University of Nottingham,)

Abstract

Player i's payoff in a noncooperative game is generally expressed as a function of the vector of strategies of all players. However, in some games - 'simply reducible games' - the payoff of player i is a function of two arguments - the strategy chosen by i, and the sum of the strategies of all players in the game. Cournot oligopoly, public good provision, costand surplus-sharing, and open access resource exploitation are all simply reducible games. We define the 'share function' of a simply reducible game. We indicate its role in the analysis of equilibrium existence, uniqueness and comparative static properties of simply reducible games, and apply it to a model of open access resource exploitation. Finally, we suggest further applications and extensions of our approach.

Suggested Citation

  • Roger Hartley & Richard Cornes, 2000. "Joint Production Games And Share Functions," Keele Department of Economics Discussion Papers (1995-2001) 2000/07, Department of Economics, Keele University.
  • Handle: RePEc:kee:keeldp:2000/07
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    File URL: http://www.keele.ac.uk/depts/ec/wpapers/0007.pdf
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    Cited by:

    1. Martimort, David & Stole, Lars, 2011. "Aggregate Representations of Aggregate Games," MPRA Paper 32871, University Library of Munich, Germany.
    2. Toshihiro Ihori & Martin McGuire, 2006. "Patterns of Non-exponential Growth of Macroeconomic Models: Two-parameter Poisson-Dirichlet Models," CIRJE F-Series CIRJE-F-450, CIRJE, Faculty of Economics, University of Tokyo.
    3. Peter Friedrich, 2011. "Legal European Company Forms to Realize Cross Border FOCJ - Functional Overlapping Competing Jurisdictions," ERSA conference papers ersa10p1009, European Regional Science Association.
    4. Peter Friedrich & Chang Woon Nam, 2011. "Innovation-Oriented Land-Use Policy At The Sub-National Level: Case Study Germany," University of Tartu - Faculty of Economics and Business Administration Working Paper Series 84, Faculty of Economics and Business Administration, University of Tartu (Estonia).

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