Caller Number Five and Related Timing Games
There are two varieties of timing games in economics: Having more predecessors helps in a war of attrition and hurts in a pre-emption game. This paper introduces and explores a spanning class with rank-order payoffs} that subsumes both as special cases. We assume a continuous time setting with unobserved actions and complete information, and explore how equilibria of these games capture many economic and social timing phenomena --- shifting between phases of slow and explosive (positive probability) stopping. Inspired by auction theory, we first show how the symmetric Nash equilibria are each equivalent to a different "potential function". This device straightforwardly yields existence and characterization results. The Descartes Rule of Signs, e.g., bounds the number 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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- 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.
- Paul Klemperer & Jeremy Bulow, 1997. "The Generalized War of Attrition," Economics Series Working Papers 1998-W01, University of Oxford, Department of Economics.
- 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.
- Baye, M. & Kovenock, D. & de Vries, C., 1990.
"The All-Pay Auction with Complete Information,"
1990-51, Tilburg University, Center for Economic Research.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - 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., 1992. "The All-Pay Auction with Complete Information," Papers 8-92-1, Pennsylvania State - Department of Economics.
- 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.
- 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.
- 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, Romain & Huisman, Kuno & Kort, Peter M., 2009. "Investment in oligopoly under uncertainty: The accordion effect," Economics Papers from University Paris Dauphine 123456789/12655, Paris Dauphine University.
- 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.
- Markus K Brunnermeier, 2002.
"Bubbles and Crashes,"
FMG Discussion Papers
dp401, Financial Markets Group.
- Sahuguet, Nicolas, 2006. "Volunteering for heterogeneous tasks," Games and Economic Behavior, Elsevier, vol. 56(2), pages 333-349, August.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- 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 536-56, Autumn.
- 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.
- Andrew McLennan, 2005.
"The Expected Number of Nash Equilibria of a Normal Form Game,"
Econometric Society, vol. 73(1), pages 141-174, 01.
- McLennan, A., 1999. "The Expected Number of Nash Equilibria of a Normal Form Game," Papers 306, Minnesota - Center for Economic Research.
- Hendricks, Kenneth & Weiss, Andrew & Wilson, Charles, 1987.
"The War of Attrition in Continuous Time with Complete Information,"
87-03, C.V. Starr Center for Applied Economics, New York University.
- 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 663-80, November.
- Laraki, Rida & Solan, Eilon & Vieille, Nicolas, 2005.
"Continuous-time games of timing,"
Journal of Economic Theory,
Elsevier, vol. 120(2), pages 206-238, February.
- Nicolas, VIEILLE & Rida, LARAKI & Eilon, SOLAN, 2003. "Continuous-Time Games of Timing," Les Cahiers de Recherche 773, HEC Paris.
- 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.
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