We study all-pay auctions under incomplete information in which the designer can impose taxes or subsidies, and his expected payoff is the contestants' expected total effort minus the cost of subsidies, or, alternatively, plus the tax payment. When contestants have linear effort cost functions, we show that taxing the winner's payoff is profitable for the contest designer, and particularly more profitable than the same model with no taxation or the same model with contestants' effort taxation. When the contestants' effort cost functions are convex and the taxation rate is relatively low, we show that the designer should tax the winner's payoff while subsidizing all of the other contestants' effort costs. As a result, contest organizers should think about combining taxation and subsidies in their contests because they complement rather than substitute each other.
{"title":"Carrots and Sticks: Collaboration of Taxation and Subsidies in Contests","authors":"Yizhaq Minchuk, Aner Sela","doi":"10.1111/jpet.70005","DOIUrl":"https://doi.org/10.1111/jpet.70005","url":null,"abstract":"<p>We study all-pay auctions under incomplete information in which the designer can impose taxes or subsidies, and his expected payoff is the contestants' expected total effort minus the cost of subsidies, or, alternatively, plus the tax payment. When contestants have linear effort cost functions, we show that taxing the winner's payoff is profitable for the contest designer, and particularly more profitable than the same model with no taxation or the same model with contestants' effort taxation. When the contestants' effort cost functions are convex and the taxation rate is relatively low, we show that the designer should tax the winner's payoff while subsidizing all of the other contestants' effort costs. As a result, contest organizers should think about combining taxation and subsidies in their contests because they complement rather than substitute each other.</p>","PeriodicalId":47024,"journal":{"name":"Journal of Public Economic Theory","volume":"26 6","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jpet.70005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595661","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}
We consider a research laboratory that owns a patented process innovation and two firms producing differentiating goods in a Bertrand setting. The laboratory considers the possibility to license the innovation as an outsider patentee or to merge with one of the firms in the industry, becoming an incumbent patentee. Licensing takes place through observable two-part tariff contracts. We show that the merger is profitable only for small innovations and increases social welfare for both small and large innovations. Even though we allow the royalty to be higher than the size of the innovation, and opposite to the result in a Cournot setting, we find a region where the merger is both profitable and welfare improving. This occurs only for small innovations and sufficiently differentiated goods. The same result arises for consumer surplus which allows us to derive the optimal merger policy: compared with Cournot competition, a Bertrand setting calls for a more lenient merger policy.
{"title":"Mergers and Licensing With Horizontal Differentiation","authors":"Ramon Fauli-Oller, Sougata Poddar, Joel Sandonis","doi":"10.1111/jpet.70004","DOIUrl":"https://doi.org/10.1111/jpet.70004","url":null,"abstract":"<p>We consider a research laboratory that owns a patented process innovation and two firms producing differentiating goods in a Bertrand setting. The laboratory considers the possibility to license the innovation as an outsider patentee or to merge with one of the firms in the industry, becoming an incumbent patentee. Licensing takes place through observable two-part tariff contracts. We show that the merger is profitable only for small innovations and increases social welfare for both small and large innovations. Even though we allow the royalty to be higher than the size of the innovation, and opposite to the result in a Cournot setting, we find a region where the merger is both profitable and welfare improving. This occurs only for small innovations and sufficiently differentiated goods. The same result arises for consumer surplus which allows us to derive the optimal merger policy: compared with Cournot competition, a Bertrand setting calls for a more lenient merger policy.</p>","PeriodicalId":47024,"journal":{"name":"Journal of Public Economic Theory","volume":"26 6","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jpet.70004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587940","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}
Individual actions can depend on prevailing social norms. We investigate how optimal policy to promote pro-social action should exploit the underlying social dynamics. We develop a dynamic model of prosocial action in which conformist consumers repeatedly choose whether to engage in some prosocial activity. Whereas individual behavior is not observed, the overall participation rate in the previous period is common knowledge. We demonstrate how conformity can lead to multiple steady states and how their selection depends on starting conditions and discount factors. We further show that the optimal subsidy path can be non-monotonic and can decrease before reaching the steady state-level. Our model thus provides a rationale for introductory subsidies to promote environmentally friendly behavior from a behavioral perspective.
{"title":"Dynamic policy in the presence of social norms","authors":"Beat Hintermann, Andreas Lange","doi":"10.1111/jpet.70001","DOIUrl":"https://doi.org/10.1111/jpet.70001","url":null,"abstract":"<p>Individual actions can depend on prevailing social norms. We investigate how optimal policy to promote pro-social action should exploit the underlying social dynamics. We develop a dynamic model of prosocial action in which conformist consumers repeatedly choose whether to engage in some prosocial activity. Whereas individual behavior is not observed, the overall participation rate in the previous period is common knowledge. We demonstrate how conformity can lead to multiple steady states and how their selection depends on starting conditions and discount factors. We further show that the optimal subsidy path can be non-monotonic and can decrease before reaching the steady state-level. Our model thus provides a rationale for introductory subsidies to promote environmentally friendly behavior from a behavioral perspective.</p>","PeriodicalId":47024,"journal":{"name":"Journal of Public Economic Theory","volume":"26 6","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/jpet.70001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561617","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}
Our research question is whether it is possible and how to counteract “the tragedy of the commons” if facing various limitations of real-world economies. To answer it, we derive regulatory tax–subsidy systems and self-enforcing environmental agreements in a problem of extraction of common renewable resources. The first considered limitation is that the feasible class of tax–subsidy systems may have a compl icated form, for example, there are transition periods for smooth reduction of fishing. The alternative limitation is that there is no institution that can impose taxes or subsidize, so sustainability can be achieved only by self-enforcing international agreements. The next limitation is in those agreements: we assume that it takes time to detect a defection. We study these enforcement tools in a continuous-time version of a Fish War type game with