 Sequential all-pay auctions with noisy outputsElla Segev and Aner Sela Journal of Mathematical Economics, 2014, vol. 50, issue C, 251-261 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 the observed 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. Keywords: Sequential contests; Noisy outputs (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:50:y:2014:i:c:p:251-261 DOI: 10.1016/j.jmateco.2013.05.001 Access Statistics for this article Journal of Mathematical Economics is currently edited by Atsushi (A.) Kajii More articles in Journal of Mathematical Economics from Elsevier |
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