Caller Number Five: Timing Games that Morph From One Form to Another
There are two well-studied timing games in economics: In a War of Attrition, having more predecessors helps; in a Pre-emption Game, more predecessors hurts. This paper introduces and explores a rich new spanning class of timing games with _rank-order payoffs_ that subsumes both timing games as special cases. This explains a wide array of economic and social timing phenomena. Indeed, assuming unobserved actions and complete information, we identify equilibria that display both smooth and explosive entry. Anticipation of later timing games influences current play --- from swelling the magnitude of pre-emptive explosions to truncating wars of attrition. We provide conditions for existence, characterize equilibria, and compare outcomes under unobservable and observable actions. Both settings' equilibria show similarities, and the unobservable actions case provides intuitive insights as to likely equilibria with observable actions. The analysis turns in part on Karlin's 1968 theory of total positivity.
|Date of creation:||2004|
|Contact details of provider:|| Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA|
Web page: http://www.EconomicDynamics.org/
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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.
- Dilip Abreu & Markus K. Brunnermeier, 2002. "Bubbles and crashes," LSE Research Online Documents on Economics 24905, London School of Economics and Political Science, LSE Library.
- 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.
- 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.
- Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," Game Theory and Information 9901004, EconWPA.
- Bulow, Jeremy I. & Klemperer, Paul, 1997. "The Generalized War of Attrition," CEPR Discussion Papers 1564, C.E.P.R. Discussion Papers.
- 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. Full references (including those not matched with items on IDEAS)