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Joint Production Games And Share Functions

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Author Info
Roger Hartley () (Keele University Department of Economics)
Richard Cornes (School of Economics, University of Nottingham,)

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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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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
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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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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Cornes, Richard & Sandler, Todd, 1985. "The Simple Analytics of Pure Public Good Provision," Economica, London School of Economics and Political Science, vol. 52(205), pages 103-16, February.
  2. Novshek, William, 1984. "Finding All n-Firm Cournot Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 61-70, February. [Downloadable!] (restricted)
  3. Richard Cornes & Roger Hartley & Todd Sandler, 1999. "Equilibrium Existence and Uniqueness in Public Good Models: An Elementary Proof via Contraction," Keele Department of Economics Discussion Papers (1995-2001) 99/02, Department of Economics, Keele University.
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  4. Cornes, Richard & Sandler, Todd, 1983. "On Commons and Tragedies," American Economic Review, American Economic Association, vol. 73(4), pages 787-92, September. [Downloadable!] (restricted)
  5. Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December. [Downloadable!] (restricted)
  6. Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-89, October. [Downloadable!] (restricted)
  7. Corchon, Luis C. & Puy, M. Socorro, 1998. "Individual rationality and voting in cooperative production," Economics Letters, Elsevier, vol. 59(1), pages 83-90, April. [Downloadable!] (restricted)
  8. Novshek, William, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 52(1), pages 85-98, January. [Downloadable!] (restricted)
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  9. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer, vol. 26(3), pages 379-401.
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  10. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May. [Downloadable!] (restricted)
  11. Hartley, Keith & Sandler, Todd, 1995. "Introduction," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 1, chapter 1, pages 1-11 Elsevier. [Downloadable!] (restricted)
  12. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Martin Bandulet, 2002. "Strategic Impacts of Technology Switch-Over: Who Benefits from Electronic Commerce?," Discussion Paper Series 221, Universitaet Augsburg, Institute for Economics. [Downloadable!]
  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. [Downloadable!]
  3. Michael Higl & Peter Welzel, 2005. "Intra-firm Coordination and Horizontal Merger," Discussion Paper Series 269, Universitaet Augsburg, Institute for Economics. [Downloadable!]
  4. Roger Hartley & Richard Cornes, 2003. "Aggregative Public Good Games," Keele Economics Research Papers KERP 2003/05, Centre for Economic Research, Keele University. [Downloadable!]
    Other versions:
  5. Emanuela Randon, 2002. "L’analisi positiva dell’esternalità: rassegna della letteratura e nuovi spunti," Working Papers 58, University of Milano-Bicocca, Department of Economics, revised Jun 2002. [Downloadable!]
  6. Richard Cornes & Roger Hartley, 2000. "Rentseeking By Players With Constant Absolute Risk Aversion," Keele Department of Economics Discussion Papers (1995-2001) 2000/14, Department of Economics, Keele University, revised Jan 2001. [Downloadable!]
  7. Ji-Tian Jeng, 2005. "Bayesian-Cournot Competition," Keele Economics Research Papers KERP 2005/01, Centre for Economic Research, Keele University. [Downloadable!]
  8. Toshihiro Ihori & Martin C. McGuire, 2006. "Collective Risk Control And Group Security: The Unexpected Consequences of Differential Risk Aversion," CIRJE F-Series CIRJE-F-402, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  9. R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," The School of Economics Discussion Paper Series 0514, Economics, The University of Manchester. [Downloadable!]
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