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A theory of knockout tournament seedings

Karpov, Alexander

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Abstract

This paper provides nested sets and vector representations of knockout tournaments. The paper introduces classification of probability domain assumptions and a new set of axioms. Two new seeding methods are proposed: equal gap seeding and increasing competitive intensity seeding. Under different probability domain assumptions, several axiomatic justifications are obtained for equal gap seeding. A discrete optimization approach is developed. It is applied to justify equal gap seeding and increasing competitive intensity seeding. Some justification for standard seeding is obtained. Combinatorial properties of the seedings are studied.

Item Type: Working paper
Series Name: Discussion Paper Series, University of Heidelberg, Department of Economics
Volume: 0600
Place of Publication: Heidelberg
Date Deposited: 05 Aug 2015 14:03
Date: August 2015
Number of Pages: 22
Faculties / Institutes: The Faculty of Economics and Social Studies > Alfred-Weber-Institut for Economics
Subjects: 330 Economics
Uncontrolled Keywords: elimination tournament, competitive intensity, fairness, economics of sport.
Schriftenreihe ID: Discussion Paper Series / University of Heidelberg, Department of Economics
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