The minimum approval mechanism (MAM) was introduced by Masuda et al. (2014) as a mechanism aimed at mitigating free riding in the social dilemma context of a public good game. The MAM is a two-stage mechanism which theoretically achieves the socially optimum level of public good provision, according to various equilibrium concepts (e.g., backward elimination of weakly dominated strategies, level-k, or minimax regret). We study the robustness of this mechanism to the introduction of endowment heterogeneity. We explore, theoretically and experimentally, how endowment inequalities affect the effectiveness of the MAM at improving the level of provision. We find that the mechanism is still Pareto-improving under endowment heterogeneity, but that its efficiency diminishes as inequality is increased. Our experimental findings indicate a significant weakening of the mechanism under endowment inequalities, surpassing our theoretical predictions. A close examination of individual behaviors reveals a significant drop in contributions compared to the uniform case, prompted by even minor inequalities. Intriguingly, our findings challenge conventional assumptions by showing that inequality aversion drives contributions in a public good game with endowment disparities only under certain assumptions. We explore the impact of beliefs about the contributions of advantaged players as potential motivations through guilt aversion and Kantian preferences.
{"title":"Efficiency of the Minimum Approval Mechanism With Heterogeneous Players","authors":"Gabriel Bayle, Marc Willinger","doi":"10.1111/jpet.70043","DOIUrl":"https://doi.org/10.1111/jpet.70043","url":null,"abstract":"<p>The minimum approval mechanism (MAM) was introduced by Masuda et al. (2014) as a mechanism aimed at mitigating free riding in the social dilemma context of a public good game. The MAM is a two-stage mechanism which theoretically achieves the socially optimum level of public good provision, according to various equilibrium concepts (e.g., backward elimination of weakly dominated strategies, level-k, or minimax regret). We study the robustness of this mechanism to the introduction of endowment heterogeneity. We explore, theoretically and experimentally, how endowment inequalities affect the effectiveness of the MAM at improving the level of provision. We find that the mechanism is still Pareto-improving under endowment heterogeneity, but that its efficiency diminishes as inequality is increased. Our experimental findings indicate a significant weakening of the mechanism under endowment inequalities, surpassing our theoretical predictions. A close examination of individual behaviors reveals a significant drop in contributions compared to the uniform case, prompted by even minor inequalities. Intriguingly, our findings challenge conventional assumptions by showing that inequality aversion drives contributions in a public good game with endowment disparities only under certain assumptions. We explore the impact of beliefs about the contributions of advantaged players as potential motivations through guilt aversion and Kantian preferences.</p>","PeriodicalId":47024,"journal":{"name":"Journal of Public Economic Theory","volume":"27 4","pages":""},"PeriodicalIF":1.1,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jpet.70043","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144666539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A shared good is an impure public good in which personalized consumptions are produced by groups using a sharing technology. Rivalry in consumption is captured by the shape of this technology. Private goods and pure public goods are special cases in which there is complete rivalry and no rivalry, respectively. A competitive shared goods equilibrium is defined in which there are markets for all goods, there are personalized prices for the consumption of shared goods, and both firms and groups are profit maximizers. When all shared goods are private (resp. public), this equilibrium is a Walrasian (resp. Lindahl) equilibrium. Sufficient conditions for the existence of a competitive shared goods equilibrium are identified. An alternative equilibrium concept in which groups behave cooperatively towards their beneficiaries is also considered and an equilibrium existence theorem for it is established.
{"title":"Existence of Equilibria for Shared Goods","authors":"John A. Weymark","doi":"10.1111/jpet.70045","DOIUrl":"https://doi.org/10.1111/jpet.70045","url":null,"abstract":"<p>A shared good is an impure public good in which personalized consumptions are produced by groups using a sharing technology. Rivalry in consumption is captured by the shape of this technology. Private goods and pure public goods are special cases in which there is complete rivalry and no rivalry, respectively. A competitive shared goods equilibrium is defined in which there are markets for all goods, there are personalized prices for the consumption of shared goods, and both firms and groups are profit maximizers. When all shared goods are private (resp. public), this equilibrium is a Walrasian (resp. Lindahl) equilibrium. Sufficient conditions for the existence of a competitive shared goods equilibrium are identified. An alternative equilibrium concept in which groups behave cooperatively towards their beneficiaries is also considered and an equilibrium existence theorem for it is established.</p>","PeriodicalId":47024,"journal":{"name":"Journal of Public Economic Theory","volume":"27 4","pages":""},"PeriodicalIF":1.1,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jpet.70045","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144624534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}