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A Class of Best-Response Potential Games

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  • D. Dragone
  • L. Lambertini
  • A. Palestini

Abstract

We identify a class of noncooperative games in continuous strategies which are best-response potential games. We identify the conditions for the existence of a best-response potential function and characterize its construction, describing then the key properties of the equilibrium. The theoretical analysis is accompanied by applications to oligopoly and monetary policy games.

Suggested Citation

  • D. Dragone & L. Lambertini & A. Palestini, 2008. "A Class of Best-Response Potential Games," Working Papers 635, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:635
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    References listed on IDEAS

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    1. Slade, Margaret E, 1994. "What Does an Oligopoly Maximize?," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 45-61, March.
    2. Voorneveld, Mark, 2000. "Best-response potential games," Economics Letters, Elsevier, vol. 66(3), pages 289-295, March.
    3. Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April.
    4. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
    5. Branzei, Rodica & Mallozzi, Lina & Tijs, Stef, 2003. "Supermodular games and potential games," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 39-49, February.
    6. repec:rim:rimwps:10-08 is not listed on IDEAS
    7. Canzoneri, Matthew B & Gray, Jo Anna, 1985. "Monetary Policy Games and the Consequences of Non-cooperative Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 547-564, October.
    8. Slikker, Marco, 2001. "Coalition Formation and Potential Games," Games and Economic Behavior, Elsevier, vol. 37(2), pages 436-448, November.
    9. Kukushkin, Nikolai S., 2002. "Perfect Information and Potential Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 306-317, February.
    10. Brânzei, R. & Mallozzi, L. & Tijs, S.H., 2003. "Supermodular games and potential games," Other publications TiSEM 87c16860-0596-4448-808d-c, Tilburg University, School of Economics and Management.
    11. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    12. Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
    13. Matthew B. Canzoneri & Jo Anna Gray, 1983. "Two essays on monetary policy in an interdependent world," International Finance Discussion Papers 219, Board of Governors of the Federal Reserve System (U.S.).
    14. Abraham Neyman, 1997. "Correlated Equilibrium and Potential Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 223-227.
    15. Davide Dragone & Luca Lambertini, 2008. "The Non-Linear Cournot Model as a Best-Response Potential Game," Working Paper series 10_08, Rimini Centre for Economic Analysis.
    16. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    17. Hamada, Koichi, 1976. "A Strategic Analysis of Monetary Interdependence," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 677-700, August.
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    Cited by:

    1. Julio B. CLEMPNER & Alexander S. POZNYAK, 2016. "Analyzing An Optimistic Attitude For The Leader Firm In Duopoly Models: A Strong Stackelberg Equilibrium Based On A Lyapunov Game Theory Approach," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(4), pages 41-60.

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