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Sequential vs Collusive Payoffs in Symmetric Duopoly Games

  • Marco Marini

    ()

    (Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza")

  • Giorgio Rodano

    ()

    (Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza")

In many strategic settings comparing the payo¤s obtained by players under full cooperation to those obtainable at a sequential (Stackelberg) equilibrium can be crucial to determine the final outcome of the game. This happens, for instance, in repeated games in which players can break cooperation by acting sequentially, as well as in merger games in which rms are allowed to sequence their actions. Despite the relevance of these and other applications, no fully-edged comparisons betwen collusive and sequential payo¤s have been performed so far. In this paper we show that even in symmetric duopoly games the ranking of cooperative and sequential payo¤s can be extremely variable, particularly when the consuete linear demand assumption is relaxed. Not surprisingly, the degree of strategic complementarity and substitutability of players actions (and, hence, the slope of their best-replies) appears decisive to determine the ranking of collusive and sequential payo¤s. Some applications to endogenous timing are discussed.

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File URL: http://www.dis.uniroma1.it/~bibdis/RePEc/aeg/report/2012-06.pdf
File Function: Revised version, 2012
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Paper provided by Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza" in its series DIAG Technical Reports with number 2012-06.

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Length: 18 pages
Date of creation: Jun 2012
Date of revision:
Handle: RePEc:aeg:report:2012-06
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  1. von Stengel, Bernhard, 2010. "Follower payoffs in symmetric duopoly games," Games and Economic Behavior, Elsevier, vol. 69(2), pages 512-516, July.
  2. Eric van Damme & Sjaak Hurkens, 1998. "Endogenous price leadership," Economics Working Papers 289, Department of Economics and Business, Universitat Pompeu Fabra.
  3. FIGUIERES, Charles & TIDBALL, Mabel & JEAN-MARIE, Alain, 2001. "On the effects of conjectures in a symmetric strategic setting," CORE Discussion Papers 2001038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Madjid Amir & Rabah Amir & Jim Jin, 1999. "Sequencing R&D Decisions in a Two-period Duopoly with Spillovers," CIE Discussion Papers 1999-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
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  7. Levin, Dan, 1990. "Horizontal Mergers: The 50-Percent Benchmark," American Economic Review, American Economic Association, vol. 80(5), pages 1238-45, December.
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  9. Amir Rabah, 1995. "Endogenous Timing in Two-Player Games: A Counterexample," Games and Economic Behavior, Elsevier, vol. 9(2), pages 234-237, May.
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  13. Marini, Marco A. & Currarini, Sergio, 2003. "A sequential approach to the characteristic function and the core in games with externalities," MPRA Paper 1689, University Library of Munich, Germany, revised 2003.
  14. Bernhard von Stengel & Shmuel Zamir, 2010. "Leadership games with convex strategy sets," LSE Research Online Documents on Economics 27653, London School of Economics and Political Science, LSE Library.
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  16. Donsimoni, Marie-Paule & Economides, Nicholas S & Polemarchakis, Herakles M, 1986. "Stable Cartels," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 317-27, June.
  17. John S. Heywood & Matthew McGinty, 2008. "Leading and Merging: Convex Costs, Stackelberg, and the Merger Paradox," Southern Economic Journal, Southern Economic Association, vol. 74(3), pages 879-893, January.
  18. Levin, Dan, 1988. "Stackelberg, Cournot and Collusive Monopoly: Performance and Welfare Comparisons," Economic Inquiry, Western Economic Association International, vol. 26(2), pages 317-30, April.
  19. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
  20. Hamilton, J.H. & Slutsky, S.M., 1988. "Endogenous Timing In Duopoly Games: Stackelberg Or Cournot Equilibria," Papers 88-4, Florida - College of Business Administration.
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