{"title":"Difference-form group contests","authors":"María Cubel, Santiago Sanchez-Pages","doi":"10.1007/s10058-022-00312-8","DOIUrl":null,"url":null,"abstract":"<p>This paper is the first to study difference-form group contests, that is, contests fought among groups where their probability of victory depends on the absolute difference of their effective efforts. We show that key equilibrium variables in these contests can be expressed as a function of a modified version of the Watts poverty index. We use the properties of this index to study the impact of heterogeneity, both within and between groups. In the case of homogeneous groups, we show that multiple groups can be active in equilibrium and that more groups are active and aggregate effort is higher the more similar their valuations of victory are. We then characterize equilibria under heterogeneous groups. We show that within-group heterogeneity is typically detrimental to the success of a group in the contest. Groups may have an incentive to become more homogeneous in order to increase their chances of victory.</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"8 3-4","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Economic Design","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1007/s10058-022-00312-8","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
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Abstract
This paper is the first to study difference-form group contests, that is, contests fought among groups where their probability of victory depends on the absolute difference of their effective efforts. We show that key equilibrium variables in these contests can be expressed as a function of a modified version of the Watts poverty index. We use the properties of this index to study the impact of heterogeneity, both within and between groups. In the case of homogeneous groups, we show that multiple groups can be active in equilibrium and that more groups are active and aggregate effort is higher the more similar their valuations of victory are. We then characterize equilibria under heterogeneous groups. We show that within-group heterogeneity is typically detrimental to the success of a group in the contest. Groups may have an incentive to become more homogeneous in order to increase their chances of victory.
期刊介绍：
Review of Economic Design comprises the creative art and science of inventing, analyzing and testing economic as well as social and political institutions and mechanisms aimed at achieving individual objectives and social goals. In this age of Economic Design, the accumulated traditions and wealth of knowledge in normative and positive economics and the strategic analysis of game theory are applied with novel ideas in the creative tasks of designing and assembling diverse legal-economic instruments. These include constitutions and other assignments of rights, mechanisms for allocation or regulation, tax and incentive schemes, contract forms, voting and other choice aggregation procedures, markets, auctions, organizational forms, such as partnerships, together with supporting membership and other property rights, and information systems. These designs, the methods of analysis used in their scrutiny, as well as the mathematical techniques and empirical knowledge they employ, along with comparative assessments of the performance of known economic systems and implemented designs, all of these form natural components of the subject matter of Economic Design.
Officially cited as: Rev Econ Design
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