mechanism design

Wednesday, June 13, 2018 - 11:00am - 11:50am
Jaksa Cvitanic (California Institute of Technology)
We consider a tournament game in which each player is rewarded based on her rank in terms of the time of reaching a goal. We prove existence, uniqueness and stability of the game with infinitely many players, existence of an approximate equilibrium with finitely many players, and find an explicit characterization when players are homogeneous. In our setup we find that: (i) the welfare may be increasing in cost of effort; (ii) when the total pie is small, the aggregate effort may be increasing in prize inequality, unlike in Fang et al.
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