Arbeitspapier

A theory of knockout tournament seedings

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.

Language
Englisch

Bibliographic citation
Series: Discussion Paper Series ; No. 600

Classification
Wirtschaft
Subject
elimination tournament
competitive intensity
fairness
economics of sport

Event
Geistige Schöpfung
(who)
Karpov, Alexander
Event
Veröffentlichung
(who)
University of Heidelberg, Department of Economics
(where)
Heidelberg
(when)
2015

DOI
doi:10.11588/heidok.00019231
Handle
URN
urn:nbn:de:bsz:16-heidok-192311
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Karpov, Alexander
  • University of Heidelberg, Department of Economics

Time of origin

  • 2015

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