Caller Number Five and related timing games
There are two varieties of timing games in economics: wars of attrition, in which having more predecessors helps, and pre-emption games, in which having more predecessors hurts. This paper introduces and explores a spanning class with rank-order payoffs that subsumes both varieties as special cases. We assume time is continuous, actions are unobserved, and information is complete, and explore how equilibria of the games, in which there is shifting between phases of slow and explosive (positive probability) stopping, capture many economic and social timing phenomena. Inspired by auction theory, we first show how each symmetric Nash equilibrium is equivalent to a different "potential function.'' By using this function, we straightforwardly obtain existence and characterization results. Descartes' Rule of Signs bounds the number of phase transitions. We describe how adjacent timing game phases interact: war of attrition phases are not played out as long as they would be in isolation, but instead are cut short by pre-emptive atoms. We bound the number of equilibria, and compute the payoff and duration of each equilibrium.
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- Dilip Abreu & Markus K. Brunnermeier, 2003.
"Bubbles and Crashes,"
Econometric Society, vol. 71(1), pages 173-204, January.
- Markus K Brunnermeier, 2002. "Bubbles and Crashes," FMG Discussion Papers dp401, Financial Markets Group.
- Abreu, Dilip & Brunnermeier, Markus K., 2002. "Bubbles and crashes," LSE Research Online Documents on Economics 24905, London School of Economics and Political Science, LSE Library.
- 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," Working Papers hal-00591682, HAL.
- 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.
- Nicolas, VIEILLE & Rida, LARAKI & Eilon, SOLAN, 2003. "Continuous-Time Games of Timing," Les Cahiers de Recherche 773, HEC Paris.
- Nicolas Vieille & Eilon Solan & Rida Laraki, 2005. "Continuous-time games of timing," Post-Print hal-00464672, HAL.
- Michael Ostrovsky & Michael Schwarz, 2006. "Synchronization under uncertainty," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(1), pages 1-16.
- Levin, Dan & Peck, James, 2003. " To Grab for the Market or to Bide One's Time: A Dynamic Model of Entry," RAND Journal of Economics, The RAND Corporation, vol. 34(3), pages 536-556, Autumn.
- Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
- Michael R. Baye & Dan Kovenock & Casper De Vries, 1995. "The All-pay Auction with Complete Information," CESifo Working Paper Series 90, CESifo Group Munich.
- Baye, M.R. & Kovenock, D. & De Vries, C., 1992. "The All-Pay Auction with Complete Information," Papers 8-92-1, Pennsylvania State - Department of Economics.
- Baye, M. & Kovenock, D. & de Vries, C., 1990. "The All-Pay Auction with Complete Information," Discussion Paper 1990-51, Tilburg University, Center for Economic Research.
- Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "The All-Pay Auction With Complete Information," Purdue University Economics Working Papers 1007, Purdue University, Department of Economics.
- Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
- Jeremy I. Bulow & Paul Klemperer, 1996. "The Generalized War of Attrition," Cowles Foundation Discussion Papers 1142, Cowles Foundation for Research in Economics, Yale University.
- Jeremy Bulow & Paul Klemperer, 1997. "The Generalized War of Attrition," NBER Working Papers 5872, National Bureau of Economic Research, Inc.
- Bulow, Jeremy I. & Klemperer, Paul, 1997. "The Generalized War of Attrition," CEPR Discussion Papers 1564, C.E.P.R. Discussion Papers.
- Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," Game Theory and Information 9901004, EconWPA.
- Bouis, Romain & Huisman, Kuno J.M. & Kort, Peter M., 2009. "Investment in oligopoly under uncertainty: The accordion effect," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 320-331, March.
- Bouis, R. & Huisman, K.J.M. & Kort, P.M., 2006. "Investment in Oligopoly under Uncertainty : The Accordion Effect," Discussion Paper 2006-69, Tilburg University, Center for Economic Research.
- Andrew McLennan, 2005. "The Expected Number of Nash Equilibria of a Normal Form Game," Econometrica, Econometric Society, vol. 73(1), pages 141-174, January.
- McLennan, A., 1999. "The Expected Number of Nash Equilibria of a Normal Form Game," Papers 306, Minnesota - Center for Economic Research.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- 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.
- Sahuguet, Nicolas, 2006. "Volunteering for heterogeneous tasks," Games and Economic Behavior, Elsevier, vol. 56(2), pages 333-349, August.
- Shinkai, Tetsuya, 2000. "Second Mover Disadvantages in a Three-Player Stackelberg Game with Private Information," Journal of Economic Theory, Elsevier, vol. 90(2), pages 293-304, February.
- Dilip Abreu & David G. Pearce, 2006. "Reputational Wars of Attrition with Complex Bargaining Postures," Levine's Working Paper Archive 122247000000001218, David K. Levine.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. Full references (including those not matched with items on IDEAS)
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