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MPRA Munich Personal RePEc Archive The optimal multi-stage contest

By Qiang Fu, Jingfeng Lu, Ivan Png, Indranil Chakaraborty, Benny Moldovanu, Lixin Ye, Hongjun Zhong and Jimmy Chan

Abstract

This paper investigates the optimal (effort-maximizing) structure of multi-stage sequentialelimination contests with pooling competition in each stage. We allow the contest organizer to design the contest structure in two arms: contest sequence (the number of stages, and the number of remaining contestants in each stage), and prize allocation. First, we find that the optimality of “winner-take-all ” (single final winner, single final prize, no intermediate prizes) is independent of the contest sequence. Second, we show that the more complete the contest sequence is, the more efforts can be induced from the contestants. Therefore, the optimal contest eliminates one contestant at each stage until the finale, while a single winner takes over the entire prize purse. Our results not only rationalize various forms of multi-stage contests conducted in reality, such as the well-known Fox TV show “American Idol”, but also shed light on the design of internal organizational hierarchy. JEL Nos: C7, D7

Year: 2006
OAI identifier: oai:CiteSeerX.psu:10.1.1.192.3588
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