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Joint Production Games And Share Functions

Listed author(s):
  • Roger Hartley


    (Keele University Department of Economics)

  • Richard Cornes

    (School of Economics, University of Nottingham,)

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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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
Handle: RePEc:kee:keeldp:2000/07
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Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom

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