The Optimal Design Of Elimination Tournaments With A Superstar

Daria Tabashnikova () and Marina Sandomirskaia
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Daria Tabashnikova: National Research University Higher School of Economics

HSE Working papers from National Research University Higher School of Economics

Abstract: We study single- and double-elimination tournaments with heterogeneous players of two types: regular players and a superstar. Players choose efforts in each match with linear costs, winning with a probability calculated with the Tullock success function. We consider several designer maximization problems: total efforts, probability of winning the strongest player, and a weighted composed function. We show that a double-elimination tournament is less profitable in most cases, except when the tournament organizer is concerned about the probability that the superstar wins the tournament.

Keywords: single-elimination tournament; double-elimination tournament; tournament design; heterogeneous players; superstar (search for similar items in EconPapers)
JEL-codes: C72 D47 Z20 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2023
New Economics Papers: this item is included in nep-des, nep-gth, nep-mac, nep-mic and nep-spo
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Published in WP BRP Series: Economics / EC, November 2023, pages 1-28

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Persistent link: https://EconPapers.repec.org/RePEc:hig:wpaper:263/ec/2023

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