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Fully aggregative games

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  • Cornes, Richard
  • Hartley, Roger

Abstract

A game is fully aggregative if payoffs and marginal payoffs depend only on a player’s own strategy and a function of the strategy profile which is common to all players. We characterize the form which this function must take in such a game and show that the game will be strategically equivalent to another game in which the function is the simple sum of strategies.

Suggested Citation

  • Cornes, Richard & Hartley, Roger, 2012. "Fully aggregative games," Economics Letters, Elsevier, vol. 116(3), pages 631-633.
    • Handle: RePEc:eee:ecolet:v:116:y:2012:i:3:p:631-633
    DOI: 10.1016/j.econlet.2012.06.024
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    References listed on IDEAS

    as
    1. Richard Cornes & Roger Hartley, 2002. "Joint Production Games with Mixed Sharing Rules," Keele Economics Research Papers KERP 2002/16, Centre for Economic Research, Keele University.
    2. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    3. 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.
    4. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    5. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 259-271.
    6. Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
    7. Richard Cornes & Roger Hartley, 2007. "Aggregative Public Good Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 201-219, April.
    8. Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
    9. Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
    10. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    11. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    12. Cornes, Richard & Hartley, Roger, 2003. "Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October.
    13. Phlips,Louis, 1995. "Competition Policy," Cambridge Books, Cambridge University Press, number 9780521498715, November.
    14. A. Michael Spence, 1980. "Notes on Advertising, Economies of Scale, and Entry Barriers," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 493-507.
    15. Okuguchi, Koji, 1993. "Unified approach to Cournot models : Oligopoly, taxation and aggregate provision of a pure public good," European Journal of Political Economy, Elsevier, vol. 9(2), pages 233-245, May.
    16. Yarrow, G K, 1985. "Welfare Losses in Oligopoly and Monopolistic Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 33(4), pages 515-529, June.
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    More about this item

    Keywords

    Noncooperative game theory; Aggregative games; Additive separability;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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