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Joint Production Games And Share Functions

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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.

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Bibliographic Info

Paper provided by Department of Economics, Keele University in its series Keele Department of Economics Discussion Papers (1995-2001) with number 2000/07.

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Length: 30 pages
Date of creation: Oct 2000
Date of revision:
Handle: RePEc:kee:keeldp:2000/07

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Postal: Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom
Phone: +44 (0)1782 584581
Fax: +44 (0)1782 717577
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Web page: http://www.keele.ac.uk/depts/ec/cer/
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Postal: Department of Economics, Keele University, Keele, Staffordshire ST5 5BG - United Kingdom
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Web: http://www.keele.ac.uk/depts/ec/cer/pubs_kerps.htm

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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. Peter Friedrich, 2011. "Legal European Company Forms to Realize Cross Border FOCJ – Functional Overlapping Competing Jurisdictions," ERSA conference papers ersa10p1009, European Regional Science Association.
  3. 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).
  4. 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.

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