Instant Exit from the Asymmetric War of Attrition.

In an asymmetric war of attrition the players’ prize valuations are drawn from different distributions. A “stochastic strength” ordering, based upon relative hazard rates, is used to rank these distributions. The stochastically stronger player is perceived to be stronger ex ante, even though her rea...

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Main Author: Myatt, D
Format: Working paper
Language:English
Published: Department of Economics (University of Oxford) 2005
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author Myatt, D
author_facet Myatt, D
author_sort Myatt, D
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description In an asymmetric war of attrition the players’ prize valuations are drawn from different distributions. A “stochastic strength” ordering, based upon relative hazard rates, is used to rank these distributions. The stochastically stronger player is perceived to be stronger ex ante, even though her realized valuation may be lower ex post. Since the classic war of attrition exhibits multiple equilibria, the game is perturbed; for instance, by imposing an arbitrarily large time limit, or allowing for the arbitrarily small probability of players that are restricted to fighting forever. In the unique equilibrium of the perturbed game, a stochastically weaker player almost always “instantly exits” at the beginning, even though her valuation may be higher.
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spelling oxford-uuid:7451916c-db98-49be-838a-053b03be34152022-03-26T20:01:57ZInstant Exit from the Asymmetric War of Attrition.Working paperhttp://purl.org/coar/resource_type/c_8042uuid:7451916c-db98-49be-838a-053b03be3415EnglishOxford University Research Archive - ValetDepartment of Economics (University of Oxford)2005Myatt, DIn an asymmetric war of attrition the players’ prize valuations are drawn from different distributions. A “stochastic strength” ordering, based upon relative hazard rates, is used to rank these distributions. The stochastically stronger player is perceived to be stronger ex ante, even though her realized valuation may be lower ex post. Since the classic war of attrition exhibits multiple equilibria, the game is perturbed; for instance, by imposing an arbitrarily large time limit, or allowing for the arbitrarily small probability of players that are restricted to fighting forever. In the unique equilibrium of the perturbed game, a stochastically weaker player almost always “instantly exits” at the beginning, even though her valuation may be higher.
spellingShingle Myatt, D
Instant Exit from the Asymmetric War of Attrition.
title Instant Exit from the Asymmetric War of Attrition.
title_full Instant Exit from the Asymmetric War of Attrition.
title_fullStr Instant Exit from the Asymmetric War of Attrition.
title_full_unstemmed Instant Exit from the Asymmetric War of Attrition.
title_short Instant Exit from the Asymmetric War of Attrition.
title_sort instant exit from the asymmetric war of attrition
work_keys_str_mv AT myattd instantexitfromtheasymmetricwarofattrition