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Follower payoffs in symmetric duopoly games

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  • von Stengel, Bernhard

Abstract

This paper compares the leader and follower payoff in a duopoly game, as they arise in sequential play, with the Nash payoff in simultaneous play. If the game is symmetric, has a unique symmetric Nash equilibrium, and players' payoffs are monotonic in the opponent's choice along their own best reply function, then the follower payoff is either higher than the leader payoff, or even lower than in the simultaneous game. This gap for the possible follower payoff had not been observed in earlier duopoly models of endogenous timing.

Suggested Citation

  • von Stengel, Bernhard, 2010. "Follower payoffs in symmetric duopoly games," LSE Research Online Documents on Economics 27651, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:27651
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    File URL: http://eprints.lse.ac.uk/27651/
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    References listed on IDEAS

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    11. Attila Tasnádi, 2003. "Endogenous timing of moves in an asymmetric price-setting duopoly," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 2(1), pages 23-35, April.
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    Cited by:

    1. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
    2. Marco A. Marini & Maria L. Petit & Roberta Sestini, 2014. "Strategic timing in R&D agreements," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 23(3), pages 274-303, April.
    3. Marco Marini & Giorgio Rodano, 2012. "Sequential vs Collusive Payoffs in Symmetric Duopoly Games," DIAG Technical Reports 2012-06, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    4. Rajnish Kumar & Levent Kutlu, 2011. "Capacity Constraint, Price Discrimination, and Oligopoly," Departmental Working Papers 2011-04, Department of Economics, Louisiana State University.
    5. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.
    6. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    7. Rabah Amir & Giuseppe Feo, 2014. "Endogenous timing in a mixed duopoly," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 629-658, August.
    8. Marco Marini & Giorgio Rodano, 2011. "Lead, Follow or Cooperate? Endogenous Timing & Cooperation in Symmetric Duopoly Games," Working Papers 1112, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2011.
    9. Yi Tao & Jing-Jing Xu & Cong Li & Ross Cressman, 2014. "Dominance Hierarchies Induce a Population’s Full Cooperation," Dynamic Games and Applications, Springer, vol. 4(4), pages 432-447, December.
    10. Chia-Hung Sun, 2020. "Simultaneous and sequential choice in a symmetric two-player game with canyon-shaped payoffs," The Japanese Economic Review, Springer, vol. 71(2), pages 191-219, April.
    11. Zili Yang, 2013. "Is the Leading Role Desirable?: A Simulation Analysis of the Stackelberg Behavior in World Petroleum Market," Computational Economics, Springer;Society for Computational Economics, vol. 42(1), pages 133-150, June.
    12. Stefano Colombo, 2018. "Infinite Asymmetric Equilibria In Mixed Oligopolies," Bulletin of Economic Research, Wiley Blackwell, vol. 70(1), pages 114-118, January.
    13. Heywood, John S. & Li, Dongyang & Ye, Guangliang, 2023. "Private provision of price excludable public goods by rivals," Journal of Economic Behavior & Organization, Elsevier, vol. 214(C), pages 291-307.
    14. Madden, Paul & Pezzino, Mario, 2019. "Endogenous price leadership with an essential input," Games and Economic Behavior, Elsevier, vol. 118(C), pages 47-59.

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    More about this item

    Keywords

    Cournot; Duopoly game; Endogenous timing; Follower; Leader; Stackelberg; Strategic complements; Strategic substitutes; ISI;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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