Prize-allocation rules in generalized team contests
Katsuya Kobayashi,
Hideo Konishi and
Kaoru Ueda ()
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Katsuya Kobayashi: Hosei University
Hideo Konishi: Boston College
Kaoru Ueda: Nanzan University
Economic Theory, 2025, vol. 79, issue 1, No 4, 179 pages
Abstract:
Abstract We consider a generalized team contest, in which the team’s effort is produced with a general technology represented by a concave homothetic function of team members’ contributions. Furthermore, we assume that the value of the contest’s prize depends on total effort exerted in the contest. We prove the existence of positive-effort Nash equilibrium for this generalized team contest under an arbitrary profile of the teams’ prize-allocation rules, and derive a simple characterization of the team-effort-maximizing prize-sharing rule. Although our basic model assumes that each individual in a group has constant marginal effort costs, it is possible to extend the results to the case where team members’ effort cost functions have increasing marginal costs with a constant elasticity.
Keywords: Team contest; Endogenous prize; Heterogeneity and complementarity of members; Prize allocation rule; Group cost minimization (search for similar items in EconPapers)
JEL-codes: C72 D23 D43 D72 D74 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00199-024-01559-8
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