TY  - GEN
KW  - elimination tournament
KW  -  competitive intensity
KW  -  fairness
KW  -  economics of sport. 
ID  - heidok19231
AV  - public
TI  - A theory of knockout tournament seedings 
CY  - Heidelberg
EP  - 22
N2  - 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. 
T3  - Discussion Paper Series, University of Heidelberg, Department of Economics
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/19231/
Y1  - 2015/08//
A1  - Karpov, Alexander
ER  -