Subgame-Perfect Equilibria in Stochastic Timing Games
We introduce a notion of subgames for stochastic timing games and the related notion of subgame-perfect equilibrium in possibly mixed strategies. While a good notion of subgame-perfect equilibrium for continuous-time games is not available in general, we argue that our model is the appropriate version for timing games. We show that the notion coincides with the usual one for discrete-time games. Many timing games in continuous time have only equilibria in mixed strategies – in particular preemption games, which often occur in the strategic real option literature. We provide a sound foundation for some workhorse equilibria of that literature, which has been lacking as we show. We obtain a general constructive existence result for subgame-perfect equilibria in preemption games and illustrate our findings by several explicit applications.
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- Hendricks, Ken & Weiss, Andrew & Wilson, Charles A, 1988.
"The War of Attrition in Continuous Time with Complete Information,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 663-680, November.
- Hendricks, Kenneth & Weiss, Andrew & Wilson, Charles, 1987. "The War of Attrition in Continuous Time with Complete Information," Working Papers 87-03, C.V. Starr Center for Applied Economics, New York University.
- Laraki, Rida & Solan, Eilon & Vieille, Nicolas, 2005. "Continuous-time games of timing," Journal of Economic Theory, Elsevier, vol. 120(2), pages 206-238, February.
- Rida Laraki & Eilon Solan & Nicolas Vieille, 2003. "Continuous-time Games of Timing," Discussion Papers 1363, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Rida Laraki & Eilon Solan & Nicolas Vieille, 2003. "Continuous-Time Games of Timing," Working Papers hal-00591682, HAL.
- Nicolas Vieille & Eilon Solan & Rida Laraki, 2005. "Continuous-time games of timing," Post-Print hal-00464672, HAL.
- Nicolas, VIEILLE & Rida, LARAKI & Eilon, SOLAN, 2003. "Continuous-Time Games of Timing," Les Cahiers de Recherche 773, HEC Paris.
- Thijssen, Jacco J.J. & Huisman, Kuno J.M. & Kort, Peter M., 2012. "Symmetric equilibrium strategies in game theoretic real option models," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 219-225.
- Thijssen, J.J.J. & Huisman, K.J.M. & Kort, P.M., 2002. "Symmetric Equilibrium Strategies in Game Theoretical Real Option Models," Discussion Paper 2002-81, Tilburg University, Center for Economic Research.
- Mason, Robin & Weeds, Helen, 2010. "Investment, uncertainty and pre-emption," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 278-287, May.
- Hoppe, Heidrun C. & Lehmann-Grube, Ulrich, 2005. "Innovation timing games: a general framework with applications," Journal of Economic Theory, Elsevier, vol. 121(1), pages 30-50, March.
- Grzegorz Pawlina & Peter M. Kort, 2006. "Real Options in an Asymmetric Duopoly: Who Benefits from Your Competitive Disadvantage?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 1-35, 03.
- Pawlina, G. & Kort, P.M., 2001. "Real Options in an Aymmetric Duopoly : Who Benefits from your Competitive Disadvantage," Discussion Paper 2001-95, Tilburg University, Center for Economic Research.
- Helen Weeds, 2002. "Strategic Delay in a Real Options Model of R&D Competition," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 729-747.
- Weeds, H., 2000. "Strategic Delay in a Real Optimna Model of R&D Competition," The Warwick Economics Research Paper Series (TWERPS) 576, University of Warwick, Department of Economics.
- Alós-Ferrer, Carlos & Ritzberger, Klaus, 2008. "Trees and extensive forms," Journal of Economic Theory, Elsevier, vol. 143(1), pages 216-250, November.
- Carlos Alós-Ferrer & Klaus Ritzberger, 2005. "Trees and Extensive Forms," Vienna Economics Papers 0506, University of Vienna, Department of Economics.
- Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," Review of Economic Studies, Oxford University Press, vol. 52(3), pages 383-401.
- Said Hamadène & Mohammed Hassani, 2014. "The multi-player nonzero-sum Dynkin game in discrete time," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(2), pages 179-194, April. Full references (including those not matched with items on IDEAS)