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Endogenous timing game with non-monotonic reaction functions

Author

Listed:
  • Grégoire Rota-Graziosi

    (CERDI - Centre d'Études et de Recherches sur le Développement International - UdA - Université d'Auvergne - Clermont-Ferrand I - CNRS - Centre National de la Recherche Scientifique)

  • Magnus Hoffmann

    (Department of Economics - Department of Economics - OVGU - Otto-von-Guericke-Universität Magdeburg = Otto-von-Guericke University [Magdeburg])

Abstract

The aim of this paper is to generalize the endogenous timing game proposed by Hamilton and Slutsky (1990) to cases where the reaction functions are non-motononic, as for instance in the literature on contest. Following the taxonomy of social dilemma provided by Eaton (2004) we consider several pos- sible situations depending on the nature of interactions (plain complementarity or plain substituability and strategic complementarity or strategic substitutability). Under the assumptions of the existence and the uniqueness of the Nash and Stackelberg equilibria, we highlight the presence of a first-mover advantage or a second-mover incentive only depending on the nature of cross-effects in players' payoff functions and the slopes of their reaction functions at the Nash equilibrium of the static game. These properties allow us to determine rigorously the Subgame Perfect Nash Equilibrium (SPNE) in the ten studied situations. We establish under which conditions on the nature of interactions a leader emerges at the SPNE

Suggested Citation

  • Grégoire Rota-Graziosi & Magnus Hoffmann, 2011. "Endogenous timing game with non-monotonic reaction functions," Working Papers halshs-00553130, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00553130
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00553130v1
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    Cited by:

    1. Hubert Kempf & Grégoire Rota-Graziosi, 2015. "Further analysis on leadership in tax competition: the role of capital ownership—a comment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(6), pages 1028-1039, December.
    2. Eichner, Thomas, 2014. "Endogenizing leadership and tax competition: Externalities and public good provision," Regional Science and Urban Economics, Elsevier, vol. 46(C), pages 18-26.
    3. Carsten Eckel & Yutao Han & Kate Hynes & Jin Zhang, 2021. "Structural fund, endogenous move and commitment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 28(2), pages 465-482, April.
    4. Ilkka Leppänen, 2020. "Partial commitment in an endogenous timing duopoly," Annals of Operations Research, Springer, vol. 287(2), pages 783-799, April.

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    Keywords

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    JEL classification:

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

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