Revenue Sharing, Competitive Balance and the Contest Success Function

This paper investigates revenue sharing in an asymmetric two team contest model of a sports league with Nash behavior of team owners. The innovation of the analysis is that it focuses on the role of the contest success function (CSF). In case of an inelastic talent supply, revenue sharing turns out to worsen competitive balance regardless of the shape of the CSF. For the case of an elastic talent supply, in contrast, the effect of revenue sharing on competitive balance depends on the specification of the CSF. We fully characterize the class of CSFs for which revenue sharing leaves unaltered competitive balance and identify CSFs ensuring that revenue sharing renders the contest closer.Revenue Sharing, Competitive Balance, Contest Success Function

Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory

We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of operator algebras.Comment: 21 pages, contribution to proceedings for "Non-commutative Structures in Mathematics and Physics" (Brussels, July 2008