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Sunspot equilibrium in positive recursive general quitting games

Author

Listed:
  • Eilon Solan

    (Tel Aviv University)

  • Omri N. Solan

    (Tel Aviv University)

Abstract

We prove that positive recursive general quitting games, which are quitting games in which (a) each player has a single quitting action and possibly several continue actions, (b) the stage payoff as long as quitting does not occur is 0, and (c) the payoff when quitting occurs is non-negative, admit a sunspot $$\varepsilon $$ ε -equilibrium, for every $$\varepsilon > 0$$ ε > 0 .

Suggested Citation

  • Eilon Solan & Omri N. Solan, 2021. "Sunspot equilibrium in positive recursive general quitting games," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 891-909, December.
    • Handle: RePEc:spr:jogath:v:50:y:2021:i:4:d:10.1007_s00182-021-00773-1
    DOI: 10.1007/s00182-021-00773-1
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    References listed on IDEAS

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    1. Herings, P. Jean-Jacques & Peeters, Ronald J. A. P., 2004. "Stationary equilibria in stochastic games: structure, selection, and computation," Journal of Economic Theory, Elsevier, vol. 118(1), pages 32-60, September.
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    4. E. Solan & R. V. Vohra, 2001. "Correlated Equilibrium in Quitting Games," Mathematics of Operations Research, INFORMS, vol. 26(3), pages 601-610, August.
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    6. Eilon Solan, 1999. "Three-Player Absorbing Games," Mathematics of Operations Research, INFORMS, vol. 24(3), pages 669-698, August.
    7. Govindan, Srihari & Wilson, Robert, 2009. "Global Newton Method for stochastic games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 414-421, January.
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    10. Eilon Solan & Omri N. Solan, 2020. "Quitting Games and Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 45(2), pages 434-454, May.
    11. Solan, Eilon & Vieille, Nicolas, 2002. "Correlated Equilibrium in Stochastic Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 362-399, February.
    12. Eilon Solan & Rakesh V. Vohra, 2002. "Correlated equilibrium payoffs and public signalling in absorbing games," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 91-121.
    13. Solan, Eilon & Solan, Omri N. & Solan, Ron, 2020. "Jointly controlled lotteries with biased coins," Games and Economic Behavior, Elsevier, vol. 119(C), pages 383-391.
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