Optimal orchestration of rewards and punishments in rank-order contests
Bin Liu and
Jingfeng Lu
Journal of Economic Theory, 2023, vol. 208, issue C
Abstract:
We allow negative prizes and investigate effort-maximizing prize design in rank-order contests with incomplete information. Endogenous participation arises due to less-efficient types' incentive to avoid punishments. The optimum features winner-take-all for the best performer and at most one punishment for the worst performer among all potential contestants, whenever they enter the competition. Based on this, we then (1) provide a necessary and sufficient condition for the optimality of pure winner-take-all without punishment; and (2) show that the optimal entry threshold increases with the total number of contestants and converges to the Myerson cutoff in the limit. Finally, we characterize the optimal entry-dependent prize structure, allowing the prize sequence to vary with the number of entrants. The optimal design must entail endogenous entry, and it harmonically integrates both winner-take-all and egality.
Keywords: All-pay auction; Incomplete information; Negative prize; Endogenous entry; Optimal contest (search for similar items in EconPapers)
JEL-codes: D44 D72 D82 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:208:y:2023:i:c:s0022053122001843
DOI: 10.1016/j.jet.2022.105594
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