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Existence of trembling hand perfect and sequential equilibrium in games with stochastic timing of moves

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  • Sofia Moroni

Abstract

We consider continuous time games in which players have stochastic opportunitiesto move before a deadline. In this paper we define notions of trembling handand sequential equilibrium and show that both types of equilibria exist in a large classof such games that may feature incomplete and imperfect information. These gamesmodel realistic non-stationary dynamic situations in which players do not know exactlywhen they or their opponents will be able to move. In the complete informationcase we establish existence of a Markov Perfect equilibrium.

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  • Sofia Moroni, 2019. "Existence of trembling hand perfect and sequential equilibrium in games with stochastic timing of moves," Working Paper 6757, Department of Economics, University of Pittsburgh.
  • Handle: RePEc:pit:wpaper:6757
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    1. Gensbittel, Fabien & Lovo, Stefano & Renault, Jérôme & Tomala, Tristan, 2018. "Zero-sum revision games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 504-522.
    2. Ulrich Doraszelski & Kenneth L. Judd, 2012. "Avoiding the curse of dimensionality in dynamic stochastic games," Quantitative Economics, Econometric Society, vol. 3(1), pages 53-93, March.
    3. Łukasz Balbus & Kevin Reffett & Łukasz Woźny, 2013. "Markov Stationary Equilibria in Stochastic Supermodular Games with Imperfect Private and Public Information," Dynamic Games and Applications, Springer, vol. 3(2), pages 187-206, June.
    4. Sofia Moroni, 2016. "Sniping in Proxy Auctions with Deadlines," Working Paper 5875, Department of Economics, University of Pittsburgh.
    5. Peter Arcidiacono & Patrick Bayer & Jason R. Blevins & Paul B. Ellickson, 2016. "Estimation of Dynamic Discrete Choice Models in Continuous Time with an Application to Retail Competition," Review of Economic Studies, Oxford University Press, vol. 83(3), pages 889-931.
    6. Ockenfels, Axel & Roth, Alvin E., 2006. "Late and multiple bidding in second price Internet auctions: Theory and evidence concerning different rules for ending an auction," Games and Economic Behavior, Elsevier, vol. 55(2), pages 297-320, May.
    7. Attila Ambrus & James Burns & Yuhta Ishii, 2012. "Gradual Bidding in eBay-Like Auctions," Working Papers 12-12, Duke University, Department of Economics.
    8. Calcagno, Riccardo & Kamada, Yuichiro & Lovo, Stefano & Sugaya, Takuo, 2014. "Asynchronicity and coordination in common and opposing interest games," Theoretical Economics, Econometric Society, vol. 9(2), May.
    9. A. S. Nowak & T. E. S. Raghavan, 1992. "Existence of Stationary Correlated Equilibria with Symmetric Information for Discounted Stochastic Games," Mathematics of Operations Research, INFORMS, vol. 17(3), pages 519-526, August.
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