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Dmitry Ryvkin () and Mikhail Drugov ()

No wp2017_03_02, Working Papers from Department of Economics, Florida State University

Abstract: We derive robust comparative statics for general rank-order tournaments with additive and multiplicative noise. For unimodal distributions of noise, we show that individual equilibrium effort is unimodal in the number of players when it is deterministic. For a stochastic number of players, the unimodality is preserved for changes in the number of players in the sense of first-order stochastic dominance under an additional log-supermodularity restriction. Aggregate equilibrium effort can be increasing, decreasing or nonmonotone in the number of players. Equilibrium effort decreases as noise becomes more dispersed, in the sense of dispersive order or appropriately defined entropy.

Keywords: tournament; comparative statics; stochastic number of players; unimodality; log-supermodularity; entropy (search for similar items in EconPapers)
JEL-codes: C72 D72 D82 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth and nep-mic
Date: 2017-03
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