Sequential all-pay auctions with noisy outputs

Ella Segev, Aner Sela

Research output: Contribution to journalArticlepeer-review

Abstract

We study a sequential all-pay auction with two contestants who are privately informed about a parameter (ability) that affects their cost of effort. Contestant 1 (the first mover) exerts an effort in the first period which translates into an observable output, but with some noise, and contestant 2 (the second mover) observes this noisy output. Then, contestant 2 exerts an effort in the second period, and wins the contest if her output is larger than or equal to theobserved noisy output of contestant 1; otherwise, contestant 1 wins. We study two variations of this model: one in which both contestants do not know the realization of the noise when they exert their effort (symmetric information), and another in which contestant 1 knows the realization of the noise when exerting her effort, while contestant 2 does not (asymmetric information). For both variations, we characterize the subgame perfect equilibrium and examine the effect of a random noise on the contestants' equilibrium outputs.In particular we show that contestants' equilibrium behavior in our model is robust to the existence of a small noise.

Original languageAmerican English
Pages (from-to)251-261
Number of pages11
JournalJournal of Mathematical Economics
Volume50
Issue number1
DOIs
StatePublished - 1 Jan 2014

Keywords

  • Noisy outputs
  • Sequential contests

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics
  • Applied Mathematics

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