Payoff Shares in Two-Player Contests

In imperfectly discriminating contests with symmetric valuations, equilibrium payoffs are positive shares of the value of the prize. In contrast to a bargaining situation, players’ shares sum to less than one because a residual share of the value is lost due to rent dissipation. In this paper, we co...

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Main Authors: Samuel Häfner, Georg Nöldeke
Format: Article
Language:English
Published: MDPI AG 2016-09-01
Series:Games
Subjects:
Online Access:http://www.mdpi.com/2073-4336/7/3/25
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spelling doaj-0917b015bc3846b49ac498dde920fc102020-11-24T22:40:00ZengMDPI AGGames2073-43362016-09-01732510.3390/g7030025g7030025Payoff Shares in Two-Player ContestsSamuel Häfner0Georg Nöldeke1Faculty of Business and Economics, University of Basel, Peter Merian-Weg 6, Basel 4002, SwitzerlandFaculty of Business and Economics, University of Basel, Peter Merian-Weg 6, Basel 4002, SwitzerlandIn imperfectly discriminating contests with symmetric valuations, equilibrium payoffs are positive shares of the value of the prize. In contrast to a bargaining situation, players’ shares sum to less than one because a residual share of the value is lost due to rent dissipation. In this paper, we consider contests with two players and investigate the relationship between these equilibrium shares and the parameters of a class of asymmetric Tullock contest success functions. Our main finding is that any players’ shares that sum up to less than one can arise as the unique outcome of a pure-strategy Nash equilibrium for appropriate parameters.http://www.mdpi.com/2073-4336/7/3/25contestspure-strategy equilibriumrent-dissipation
collection DOAJ
language English
format Article
sources DOAJ
author Samuel Häfner
Georg Nöldeke
spellingShingle Samuel Häfner
Georg Nöldeke
Payoff Shares in Two-Player Contests
Games
contests
pure-strategy equilibrium
rent-dissipation
author_facet Samuel Häfner
Georg Nöldeke
author_sort Samuel Häfner
title Payoff Shares in Two-Player Contests
title_short Payoff Shares in Two-Player Contests
title_full Payoff Shares in Two-Player Contests
title_fullStr Payoff Shares in Two-Player Contests
title_full_unstemmed Payoff Shares in Two-Player Contests
title_sort payoff shares in two-player contests
publisher MDPI AG
series Games
issn 2073-4336
publishDate 2016-09-01
description In imperfectly discriminating contests with symmetric valuations, equilibrium payoffs are positive shares of the value of the prize. In contrast to a bargaining situation, players’ shares sum to less than one because a residual share of the value is lost due to rent dissipation. In this paper, we consider contests with two players and investigate the relationship between these equilibrium shares and the parameters of a class of asymmetric Tullock contest success functions. Our main finding is that any players’ shares that sum up to less than one can arise as the unique outcome of a pure-strategy Nash equilibrium for appropriate parameters.
topic contests
pure-strategy equilibrium
rent-dissipation
url http://www.mdpi.com/2073-4336/7/3/25
work_keys_str_mv AT samuelhafner payoffsharesintwoplayercontests
AT georgnoldeke payoffsharesintwoplayercontests
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