Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/127417
Authors: 
Karpov, Alexander
Year of Publication: 
2015
Series/Report no.: 
Discussion Paper Series, University of Heidelberg, Department of Economics 600
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.
Subjects: 
elimination tournament
competitive intensity
fairness
economics of sport
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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