Pub Date : 2024-05-28DOI: 10.1007/s10058-024-00354-0
Yangwei Song
We study auctions in an affiliated private value framework in which buyers face ambiguity over the distribution of the others’ valuations and make choices that are robust to that ambiguity. We show that, in contrast to the Bayesian case, a first-price auction can generate a higher revenue than a second-price auction in the presence of ambiguity. We also extend this insight to large double auctions. In particular, we propose a pay-as-bid double auction mechanism and demonstrate that given any nontrivial amount of ambiguity, this mechanism implements the efficient trade and is ex-post budget balanced with probability one as the market size grows.
{"title":"Robust auctions with affiliated private values","authors":"Yangwei Song","doi":"10.1007/s10058-024-00354-0","DOIUrl":"https://doi.org/10.1007/s10058-024-00354-0","url":null,"abstract":"<p>We study auctions in an affiliated private value framework in which buyers face ambiguity over the distribution of the others’ valuations and make choices that are robust to that ambiguity. We show that, in contrast to the Bayesian case, a first-price auction can generate a higher revenue than a second-price auction in the presence of ambiguity. We also extend this insight to large double auctions. In particular, we propose a pay-as-bid double auction mechanism and demonstrate that given any nontrivial amount of ambiguity, this mechanism implements the efficient trade and is ex-post budget balanced with probability one as the market size grows.\u0000</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"257 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141172309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1007/s10058-024-00353-1
Leticia Castaño, José E. Farinós, Ana M. Ibáñez
As other European countries, Spain has experienced a turmoil in which new political parties emerged with force after the global financial crisis in 2008. In this context, we analyze whether the empirical implications of the opportunistic and partisan theories, as well as the Uncertain Information Hypothesis, are met in the Spanish stock market, considering the size and the industry of the companies. The horizon of our study takes into account the seven general elections, 24 regional elections and 4 European elections held from 2002 to 2019, period in which Spain is fully integrated in the economic and monetary union and under the macroeconomic imbalance procedure. Our results do not support the opportunistic and partisan theories, or the Uncertain Information Hypothesis. Our evidence suggests that the short-term negative market reaction to the general elections is linked to the uncertainty with a change in the political sign of the incumbent. Besides, it is not related to size or industry characteristics.
{"title":"The stock market reaction to political and economic changes: the Spanish case","authors":"Leticia Castaño, José E. Farinós, Ana M. Ibáñez","doi":"10.1007/s10058-024-00353-1","DOIUrl":"https://doi.org/10.1007/s10058-024-00353-1","url":null,"abstract":"<p>As other European countries, Spain has experienced a turmoil in which new political parties emerged with force after the global financial crisis in 2008. In this context, we analyze whether the empirical implications of the opportunistic and partisan theories, as well as the Uncertain Information Hypothesis, are met in the Spanish stock market, considering the size and the industry of the companies. The horizon of our study takes into account the seven general elections, 24 regional elections and 4 European elections held from 2002 to 2019, period in which Spain is fully integrated in the economic and monetary union and under the macroeconomic imbalance procedure. Our results do not support the opportunistic and partisan theories, or the Uncertain Information Hypothesis. Our evidence suggests that the short-term negative market reaction to the general elections is linked to the uncertainty with a change in the political sign of the incumbent. Besides, it is not related to size or industry characteristics.</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"41 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140927792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-10DOI: 10.1007/s10058-024-00350-4
Inácio Bó, Jörgen Kratz, Makoto Shimoji
In the context of the matching-with-contracts model, we generalize the cumulative offer process to allow for arbitrary subsets of doctors to make proposals in each round. We show that, under a condition on the hospitals’ choice functions, the outcome of this generalized cumulative offer process is independent of the sets of doctors making proposals in each round. The flexibility of the resulting model allows it to be used to describe different dynamic processes and their final outcomes.
{"title":"Generalized cumulative offer processes","authors":"Inácio Bó, Jörgen Kratz, Makoto Shimoji","doi":"10.1007/s10058-024-00350-4","DOIUrl":"https://doi.org/10.1007/s10058-024-00350-4","url":null,"abstract":"<p>In the context of the matching-with-contracts model, we generalize the cumulative offer process to allow for arbitrary subsets of doctors to make proposals in each round. We show that, under a condition on the hospitals’ choice functions, the outcome of this generalized cumulative offer process is independent of the sets of doctors making proposals in each round. The flexibility of the resulting model allows it to be used to describe different dynamic processes and their final outcomes.\u0000</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"100 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140563028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-09DOI: 10.1007/s10058-024-00351-3
Daniel Stephenson
This paper studies contests with complementary prizes where each agent simultaneously distributes a fixed budget over multiple battlefields. Each battlefield has a single prize which is divided among the competitors in proportion to an arbitrary power function of their investment levels. A unique pure strategy Nash equilibrium is shown to exist under arbitrarily sensitive battlefield success functions if objective functions exhibit constant subunitary elasticity of substitution between prize shares. In contrast, Blotto contests with linear objectives have only mixed strategy Nash equilibria if battlefield success functions are sufficiently sensitive to investment levels. Sufficient complementarity between prize shares allows pure strategy Nash equilibria to exist under arbitrarily sensitive battlefield success functions.
{"title":"Multi-battle contests over complementary battlefields","authors":"Daniel Stephenson","doi":"10.1007/s10058-024-00351-3","DOIUrl":"https://doi.org/10.1007/s10058-024-00351-3","url":null,"abstract":"<p>This paper studies contests with complementary prizes where each agent simultaneously distributes a fixed budget over multiple battlefields. Each battlefield has a single prize which is divided among the competitors in proportion to an arbitrary power function of their investment levels. A unique pure strategy Nash equilibrium is shown to exist under arbitrarily sensitive battlefield success functions if objective functions exhibit constant subunitary elasticity of substitution between prize shares. In contrast, Blotto contests with linear objectives have only mixed strategy Nash equilibria if battlefield success functions are sufficiently sensitive to investment levels. Sufficient complementarity between prize shares allows pure strategy Nash equilibria to exist under arbitrarily sensitive battlefield success functions.</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"6 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140563109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-14DOI: 10.1007/s10058-024-00349-x
Roberto Sarkisian, Takuro Yamashita
This paper studies an optimal assignment problem of heterogenous students to schools with a particular kind of preference complementarity: peer effects, defined by the average ability of those in the same school. The tractability of the problem allows us to characterize the optimal assignment mechanism, which has a simple “(stochastic) pass-fail” structure. Its shape is mainly determined by the convexity/concavity of the attainment function, interpreted as the preference for/against having diverse-ability students in different schools. We also provide comparative statics as to when more or less mixture of heterogenous ability types would be desirable.
{"title":"Optimal student allocation with peer effects","authors":"Roberto Sarkisian, Takuro Yamashita","doi":"10.1007/s10058-024-00349-x","DOIUrl":"https://doi.org/10.1007/s10058-024-00349-x","url":null,"abstract":"<p>This paper studies an optimal assignment problem of heterogenous students to schools with a particular kind of preference complementarity: peer effects, defined by the average ability of those in the same school. The tractability of the problem allows us to characterize the optimal assignment mechanism, which has a simple “(stochastic) pass-fail” structure. Its shape is mainly determined by the convexity/concavity of the attainment function, interpreted as the preference for/against having diverse-ability students in different schools. We also provide comparative statics as to when more or less mixture of heterogenous ability types would be desirable.\u0000</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"10 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140153590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-10DOI: 10.1007/s10058-023-00348-4
Aditya Kuvalekar, Antonio Romero-Medina
We propose a new algorithm in the two-sided marriage market wherein both sides of the market propose in each round. The algorithm always yields a stable matching. Moreover, the outcome is a Rawlsian stable matching if the number of men and women is equal. Lastly, the algorithm can be computed in polynomial time and, from a practical standpoint, can be used in markets where fairness considerations are important.
{"title":"A fair procedure in a marriage market","authors":"Aditya Kuvalekar, Antonio Romero-Medina","doi":"10.1007/s10058-023-00348-4","DOIUrl":"https://doi.org/10.1007/s10058-023-00348-4","url":null,"abstract":"<p>We propose a new algorithm in the two-sided marriage market wherein both sides of the market propose in each round. The algorithm always yields a stable matching. Moreover, the outcome is a Rawlsian stable matching if the number of men and women is equal. Lastly, the algorithm can be computed in polynomial time and, from a practical standpoint, can be used in markets where fairness considerations are important.\u0000</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"17 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139750727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-31DOI: 10.1007/s10058-023-00347-5
Sanyyam Khurana
Consider a single-unit auction with resale and two risk neutral bidders. The ranking of the valuations is known to both the bidders—that is, the bidders know the identity of the highest and lowest valuation bidders. We show that, when the value-rankings are revealed, the classic result of “bid symmetrization” does not hold. Surprisingly, the bidder with the lowest valuation produces a stronger bid distribution than the bidder with the highest valuation. We also show that the revelation of value-rankings in auctions with resale asymmetrizes the bidding strategies. Finally, for a special family of probability distributions, we show that the first-price auction is revenue superior to the second-price auction.
{"title":"Unraveling of value-rankings in auctions with resale","authors":"Sanyyam Khurana","doi":"10.1007/s10058-023-00347-5","DOIUrl":"https://doi.org/10.1007/s10058-023-00347-5","url":null,"abstract":"<p>Consider a single-unit auction with resale and two risk neutral bidders. The ranking of the valuations is known to both the bidders—that is, the bidders know the identity of the highest and lowest valuation bidders. We show that, when the value-rankings are revealed, the classic result of “bid symmetrization” does not hold. Surprisingly, the bidder with the lowest valuation produces a stronger bid distribution than the bidder with the highest valuation. We also show that the revelation of value-rankings in auctions with resale <i>asymmetrizes</i> the bidding strategies. Finally, for a special family of probability distributions, we show that the first-price auction is revenue superior to the second-price auction.</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"12 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139648838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-29DOI: 10.1007/s10058-023-00344-8
Susheng Wang, Jun Xiao
Should a social program be run at a higher or lower level of government? We consider a government-run program supplying a private good to consumers. We focus on a tradeoff between the advantage of a high level of government in resource allocation and its disadvantage in consumer information. We look into the effect of differences in income levels, marginal costs, and preferences on the organization of public governance. One general conclusion is that when regional differences are large, the central government should be in charge; otherwise, local governments should be in charge.
{"title":"The hierarchy of public governance: resource allocation versus bureaucratic inefficiency","authors":"Susheng Wang, Jun Xiao","doi":"10.1007/s10058-023-00344-8","DOIUrl":"https://doi.org/10.1007/s10058-023-00344-8","url":null,"abstract":"<p>Should a social program be run at a higher or lower level of government? We consider a government-run program supplying a private good to consumers. We focus on a tradeoff between the advantage of a high level of government in resource allocation and its disadvantage in consumer information. We look into the effect of differences in income levels, marginal costs, and preferences on the organization of public governance. One general conclusion is that when regional differences are large, the central government should be in charge; otherwise, local governments should be in charge.</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"128 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139068739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-19DOI: 10.1007/s10058-023-00346-6
Yu Gu, Yongchao Zhang
In this paper, we study the problem of solvability for task allocation with unqualified agents (TAU) priority structures proposed by Ehlers and Westkamp (Theor Econ 13:1009-1041, 2018). In the TAU priority structure, at any position, either all agents have equal priority, or there exists exactly one agent who has the lowest priority and all others have equal highest priority. A priority structure is solvable if it admits a constrained efficient and strategy-proof mechanism, where a constrained efficient mechanism always produces a stable matching which can not be Pareto dominated by any other stable matching. We show that TAU priority structures with three agents are solvable via a top trading cycles mechanism with endogenous tie-breaking rules.
本文研究了 Ehlers 和 Westkamp(Theor Econ 13:1009-1041, 2018)提出的无资质代理(TAU)优先级结构任务分配的可解性问题。在TAU优先级结构中,在任意位置,要么所有代理人的优先级相等,要么正好存在一个优先级最低的代理人,而其他代理人的优先级相等,且所有代理人的优先级最高。如果一个优先级结构允许一个有约束的高效且不失策略的机制,那么它就是可解的,其中一个有约束的高效机制总是能产生一个稳定匹配,而这个稳定匹配不可能被任何其他稳定匹配所帕累托支配。我们的研究表明,有三个代理人的 TAU 优先权结构是可以通过具有内生平局打破规则的顶级交易循环机制来解决的。
{"title":"On the solvability of three-agent task allocation with unqualified agents priority structures","authors":"Yu Gu, Yongchao Zhang","doi":"10.1007/s10058-023-00346-6","DOIUrl":"https://doi.org/10.1007/s10058-023-00346-6","url":null,"abstract":"<p>In this paper, we study the problem of solvability for task allocation with unqualified agents (TAU) priority structures proposed by Ehlers and Westkamp (Theor Econ 13:1009-1041, 2018). In the TAU priority structure, at any position, either all agents have equal priority, or there exists exactly one agent who has the lowest priority and all others have equal highest priority. A priority structure is solvable if it admits a constrained efficient and strategy-proof mechanism, where a constrained efficient mechanism always produces a stable matching which can not be Pareto dominated by any other stable matching. We show that TAU priority structures with three agents are solvable via a top trading cycles mechanism with endogenous tie-breaking rules.\u0000</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"3 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138743618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-08DOI: 10.1007/s10058-023-00345-7
Morimitsu Kurino, Yoshinori Kurokawa
Which is better for a firm, job rotation or specialization, can be considered as an endogenously formed worker-indivisible job matching problem. We model this problem as a firm’s profit maximization problem under uncertainty, with and without overlapping generations. In both models, we show that among all possible job allocations, the rotation and specialization schemes are the only variations that can be optimal in terms of profits. Moreover, the rotation scheme is better when the productivity difference between post- and under-training workers is smaller, the uncertainty about job continuation in the future is more significant, or the slope of seniority wages is larger. The results indicate that firms in different environments prefer different worker-job matchings.
{"title":"Job rotation or specialization? A dynamic matching model analysis","authors":"Morimitsu Kurino, Yoshinori Kurokawa","doi":"10.1007/s10058-023-00345-7","DOIUrl":"https://doi.org/10.1007/s10058-023-00345-7","url":null,"abstract":"<p>Which is better for a firm, job rotation or specialization, can be considered as an endogenously formed worker-indivisible job matching problem. We model this problem as a firm’s profit maximization problem under uncertainty, with and without overlapping generations. In both models, we show that among all possible job allocations, the rotation and specialization schemes are the only variations that can be optimal in terms of profits. Moreover, the rotation scheme is better when the productivity difference between post- and under-training workers is smaller, the uncertainty about job continuation in the future is more significant, or the slope of seniority wages is larger. The results indicate that firms in different environments prefer different worker-job matchings.\u0000</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138562048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}