Multi-Battle Contests

35 Pages Posted: 19 Jul 2006  

Kai A. Konrad

Max Planck Institute for Tax Law and Public Finance; Social Science Research Center Berlin (WZB); Centre for Economic Policy Research (CEPR); CESifo (Center for Economic Studies and Ifo Institute for Economic Research); IZA Institute of Labor Economics

Dan Kovenock

Chapman University - Economic Science Institute; CESifo (Center for Economic Studies and Ifo Institute)

Date Written: April 2006

Abstract

We study equilibrium in a multistage race in which players compete in a sequence of simultaneous move component contests. Players may win a prize for winning each component contest, as well as a prize for winning the overall race. Each component contest is an all-pay auction with complete information. We characterize the unique equilibrium analytically and demonstrate that it exhibits endogenous uncertainty. Even a large lead by one player does not fully discourage the other player, and each feasible state is reached with positive probability in equilibrium (pervasiveness). Total effort may exceed the value of the prize by a factor that is proportional to the maximum number of stages. Important applications are to war, sports, and R&D contests and the results have empirical counterparts there.

Keywords: All-pay auction, contest, race, conflict, multi-stage, R&D, endogenous uncertainty, preemption, discouragement

Suggested Citation

Konrad, Kai A. and Kovenock, Dan, Multi-Battle Contests (April 2006). CEPR Discussion Paper No. 5645. Available at SSRN: https://ssrn.com/abstract=918292

Kai A. Konrad (Contact Author)

Max Planck Institute for Tax Law and Public Finance ( email )

Marstallplatz 1
Munich, 80539
Germany

HOME PAGE: http://www.tax.mpg.de/en/pub/home.cfm

Social Science Research Center Berlin (WZB) ( email )

Reichpietschufer 50
Berlin, 10785
Germany

HOME PAGE: http://www.wzb.eu/mp/fff/people/kai_konrad.en.htm

Centre for Economic Policy Research (CEPR)

90-98 Goswell Road
London, EC1V 7RR
United Kingdom

CESifo (Center for Economic Studies and Ifo Institute for Economic Research)

Poschinger Str. 5
Munich, 81679
Germany

IZA Institute of Labor Economics

P.O. Box 7240
Bonn, 53072
Germany

Daniel Kovenock

CESifo (Center for Economic Studies and Ifo Institute)

Poschinger Str. 5
Munich, DE-81679
Germany

HOME PAGE: http://www.CESifo.de

Chapman University - Economic Science Institute ( email )

One University Dr.
Orange, CA 92866
United States

Paper statistics

Downloads
24
Abstract Views
987