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Fully Aggregative Games

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  • Richard Cornes

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  • Roger Hartley

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.

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Bibliographic Info

Paper provided by Australian National University, College of Business and Economics, School of Economics in its series ANU Working Papers in Economics and Econometrics with number 2009-505.

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Length: 10 Pages
Date of creation: Aug 2009
Date of revision:
Handle: RePEc:acb:cbeeco:2009-505

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  1. 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.
  2. Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
  3. Novshek, William, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 85-98, January.
  4. Cornes, Richard, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 259-71, February.
  5. Roger Hartley & Richard Cornes, 2003. "Aggregative Public Good Games," Keele Economics Research Papers KERP 2003/05, Centre for Economic Research, Keele University.
  6. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
  7. Yarrow, G K, 1985. "Welfare Losses in Oligopoly and Monopolistic Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 33(4), pages 515-29, June.
  8. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer, vol. 26(4), pages 923-946, November.
  9. Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
  10. Spence, A Michael, 1980. "Notes on Advertising, Economies of Scale, and Entry Barriers," The Quarterly Journal of Economics, MIT Press, vol. 95(3), pages 493-507, November.
  11. Friedman, James, 1993. "Oligopoly theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 11, pages 491-534 Elsevier.
  12. Cornes, Richard & Hartley, Roger, 2003. " Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October.
  13. Richard Cornes & Roger Hartley, 2002. "Joint Production Games with Mixed Sharing Rules," Game Theory and Information 0211003, EconWPA.
  14. 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.
  15. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
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Cited by:
  1. Acemoglu, Daron & Jensen, Martin Kaae, 2009. "Aggregate Comparative Statics," CEPR Discussion Papers 7254, C.E.P.R. Discussion Papers.

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