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Fair elimination-type competitions

Ritxar Arlegi and Dinko Dimitrov ()

European Journal of Operational Research, 2020, vol. 287, issue 2, 528-535

Abstract: We study the impact of two basic principles of fairness on the structure of elimination-type competitions and perform our analysis by focusing on sports competitions. The first principle states that stronger players should have a larger chance of winning than weaker players, while the second principle provides equally strong players the same chances of being the final winner. We apply these requirements to different kinds of knockout competitions, and characterise the structures satisfying them. In our results, a new competition structure that we call an antler is found to play a referential role.

Keywords: OR in sports; Fairness; Graphs; Seeding rules; Tournament design (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:287:y:2020:i:2:p:528-535

DOI: 10.1016/j.ejor.2020.03.025

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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