Jaksa cvitanic (Caltech) - Large Tournament Games

We consider a stochastic tournament game in which each player is rewarded based on her  rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank dependent, the equilibrium has a surprisingly explicit characterization, which allows us to conduct comparative statics and obtain explicit solution to several optimal reward design problems. In the general case when the players are heterogenous and payoffs Read more [...]