Pub Date : 2024-07-19DOI: 10.1007/s00355-024-01537-y
Adi Arad, Steven Laufer, Zohar Or Sharvit, Yaniv Reingewertz, Michael Hartal
Measuring the well-being of individuals is a significant challenge for social scientists, policy makers, and suppliers of social programming, since well-being consists of many dimensions that are difficult to measure, both individually and collectively. Moreover, the relative contribution of each of the various aspects to overall well-being is unknown. We try to answer this challenge using the methodology of Benjamin et al. (Am Econ Rev 104(9):2698–2735, 2014) and using a survey that measures preferences over 27 aspects of individual well-being. We provide estimates of these preferences for a representative sample of the Israeli population. We also document heterogeneity in preferences for respondents with different current levels of well-being and for different demographic groups. For some aspects of well-being, we provide evidence of decreasing marginal utility. For other aspects, we find evidence for what appears to be an increasing marginal utility but we argue that it likely reflects an endogenous determination of the level of well-being. We discuss the policy implications of our findings and how our results could be aggregated to a well-being index that could be used to evaluate and compare the effects of different policy interventions.
{"title":"Preference heterogeneity over the aspects of individual well-being: towards the construction of an applied well-being index","authors":"Adi Arad, Steven Laufer, Zohar Or Sharvit, Yaniv Reingewertz, Michael Hartal","doi":"10.1007/s00355-024-01537-y","DOIUrl":"https://doi.org/10.1007/s00355-024-01537-y","url":null,"abstract":"<p>Measuring the well-being of individuals is a significant challenge for social scientists, policy makers, and suppliers of social programming, since well-being consists of many dimensions that are difficult to measure, both individually and collectively. Moreover, the relative contribution of each of the various aspects to overall well-being is unknown. We try to answer this challenge using the methodology of Benjamin et al. (Am Econ Rev 104(9):2698–2735, 2014) and using a survey that measures preferences over 27 aspects of individual well-being. We provide estimates of these preferences for a representative sample of the Israeli population. We also document heterogeneity in preferences for respondents with different current levels of well-being and for different demographic groups. For some aspects of well-being, we provide evidence of decreasing marginal utility. For other aspects, we find evidence for what appears to be an increasing marginal utility but we argue that it likely reflects an endogenous determination of the level of well-being. We discuss the policy implications of our findings and how our results could be aggregated to a well-being index that could be used to evaluate and compare the effects of different policy interventions.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"71 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744478","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 : 2024-07-09DOI: 10.1007/s00355-024-01535-0
Antoine Rolland, Jean-Baptiste Aubin, Irène Gannaz, Samuela Leoni
Considering voting rules based on evaluation inputs rather than preference rankings modifies the paradigm of probabilistic studies of voting procedures. This article proposes several simulation models for generating evaluation-based voting inputs. These models can cope with dependent and non identical marginal distributions of the evaluations received by the candidates. A last part is devoted to fitting these models to real data sets.
{"title":"Probabilistic models of profiles for voting by evaluation","authors":"Antoine Rolland, Jean-Baptiste Aubin, Irène Gannaz, Samuela Leoni","doi":"10.1007/s00355-024-01535-0","DOIUrl":"https://doi.org/10.1007/s00355-024-01535-0","url":null,"abstract":"<p>Considering voting rules based on evaluation inputs rather than preference rankings modifies the paradigm of probabilistic studies of voting procedures. This article proposes several simulation models for generating evaluation-based voting inputs. These models can cope with dependent and non identical marginal distributions of the evaluations received by the candidates. A last part is devoted to fitting these models to real data sets.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"39 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574344","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 : 2024-07-09DOI: 10.1007/s00355-024-01536-z
Andrei Gomberg, Romans Pancs, Tridib Sharma
Padding is the practice of adding nonvoters (e.g., noncitizens or disenfranchised prisoners) to an electoral district in order to ensure that the district meets the size quota prescribed by the one man, one vote doctrine without affecting the voting outcome in the district. We show how padding— and its mirror image, pruning—, can lead to arbitrarily large deviations from the socially optimal composition of elected legislatures. We solve the partisan districter’s optimal padding problem.
{"title":"Padding and pruning: gerrymandering under turnout heterogeneity","authors":"Andrei Gomberg, Romans Pancs, Tridib Sharma","doi":"10.1007/s00355-024-01536-z","DOIUrl":"https://doi.org/10.1007/s00355-024-01536-z","url":null,"abstract":"<p>Padding is the practice of adding nonvoters (e.g., noncitizens or disenfranchised prisoners) to an electoral district in order to ensure that the district meets the size quota prescribed by the one man, one vote doctrine without affecting the voting outcome in the district. We show how padding— and its mirror image, pruning—, can lead to arbitrarily large deviations from the socially optimal composition of elected legislatures. We solve the partisan districter’s optimal padding problem.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"16 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574341","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 : 2024-07-09DOI: 10.1007/s00355-024-01534-1
Umut Dur, Thayer Morrill, William Phan
We consider the two-sided many-to-one matching problem and introduce a class of preferences reflecting natural forms of complementarities. For example, academic departments hire seniors and then supporting juniors, teams recruit different roles and specialties, starting with the critical ones, and firms hire workers at various levels, starting with the executives. The key feature is that a firm can partition workers into types and prioritize certain types before others. Despite this partitionability requirement of choice functions being weaker than substitutes—an essential condition concerning the existence of a stable assignment—we show that it still guarantees the existence of a stable assignment and is further a maximal domain for such.
{"title":"Partitionable choice functions and stability","authors":"Umut Dur, Thayer Morrill, William Phan","doi":"10.1007/s00355-024-01534-1","DOIUrl":"https://doi.org/10.1007/s00355-024-01534-1","url":null,"abstract":"<p>We consider the two-sided many-to-one matching problem and introduce a class of preferences reflecting natural forms of complementarities. For example, academic departments hire seniors and then supporting juniors, teams recruit different roles and specialties, starting with the critical ones, and firms hire workers at various levels, starting with the executives. The key feature is that a firm can partition workers into types and prioritize certain types before others. Despite this partitionability requirement of choice functions being weaker than substitutes—an essential condition concerning the existence of a stable assignment—we show that it still guarantees the existence of a stable assignment and is further a maximal domain for such.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"65 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574342","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 : 2024-07-09DOI: 10.1007/s00355-024-01531-4
Sreoshi Banerjee, Parikshit De, Manipushpak Mitra
In an environment with private information, we study the class of sequencing problems with welfare lower bounds. The “generalized welfare lower bound” represents some of the lower bounds that have been previously studied in the literature. Every agent is offered a protection in the form of a minimum guarantee on their utilities. We provide a necessary and sufficient condition to identify an outcome efficient and strategyproof mechanism that satisfies generalized welfare lower bound. We then characterize the entire class of mechanisms that satisfy outcome efficiency, strategyproofness and generalized welfare lower bound. These are termed as “relative pivotal mechanisms”. Our paper proposes relevant theoretical applications namely; ex-ante initial order, identical costs bound and expected cost bound. We also give insights on the issues of feasibility and/or budget balance.
{"title":"Generalized welfare lower bounds and strategyproofness in sequencing problems","authors":"Sreoshi Banerjee, Parikshit De, Manipushpak Mitra","doi":"10.1007/s00355-024-01531-4","DOIUrl":"https://doi.org/10.1007/s00355-024-01531-4","url":null,"abstract":"<p>In an environment with private information, we study the class of sequencing problems with welfare lower bounds. The “generalized welfare lower bound” represents some of the lower bounds that have been previously studied in the literature. Every agent is offered a protection in the form of a minimum guarantee on their utilities. We provide a necessary and sufficient condition to identify an outcome efficient and strategyproof mechanism that satisfies generalized welfare lower bound. We then characterize the entire class of mechanisms that satisfy outcome efficiency, strategyproofness and generalized welfare lower bound. These are termed as “relative pivotal mechanisms”. Our paper proposes relevant theoretical applications namely; ex-ante initial order, identical costs bound and expected cost bound. We also give insights on the issues of feasibility and/or budget balance.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"10 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574343","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 : 2024-06-24DOI: 10.1007/s00355-024-01533-2
Carlos Seixas, Diogo Lourenço
Previous literature has shown that voters’ biased beliefs regarding policy outcomes incentivize the selection of seemingly better, but socially worse, policies. It has also shown that voters’ tendency to gauge an incumbent’s competence by the present state of the economy (retrospective voting) could counteract biased beliefs. In this article, we argue that, when the advantageous consequences of a measure of policy only accrue with considerable lag (the down-up problem), retrospective voting instead amplifies the effects of biased beliefs. Still, we find that it may nevertheless be optimal for an incumbent to select good long-term policies if the incumbent is strongly motivated by the success of the chosen policies. Finally, we investigate the robustness of these conclusions by considering an incumbent bias, limited accountability, and the introduction of incentive and threshold contracts.
{"title":"On the optimality of policy choices in the face of biased beliefs, retrospective voting and the down-up problem","authors":"Carlos Seixas, Diogo Lourenço","doi":"10.1007/s00355-024-01533-2","DOIUrl":"https://doi.org/10.1007/s00355-024-01533-2","url":null,"abstract":"<p>Previous literature has shown that voters’ biased beliefs regarding policy outcomes incentivize the selection of seemingly better, but socially worse, policies. It has also shown that voters’ tendency to gauge an incumbent’s competence by the present state of the economy (retrospective voting) could counteract biased beliefs. In this article, we argue that, when the advantageous consequences of a measure of policy only accrue with considerable lag (the down-up problem), retrospective voting instead amplifies the effects of biased beliefs. Still, we find that it may nevertheless be optimal for an incumbent to select good long-term policies if the incumbent is strongly motivated by the success of the chosen policies. Finally, we investigate the robustness of these conclusions by considering an incumbent bias, limited accountability, and the introduction of incentive and threshold contracts.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"73 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511811","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 : 2024-06-20DOI: 10.1007/s00355-024-01532-3
Takaaki Abe, Emiko Fukuda, Shigeo Muto
The role of patent pools—one-stop systems that gather patents from multiple patent holders and offer them to users as a package—is gaining research attention. To bolster the scarce stream of the literature that has addressed how a patent pool agent distributes royalty revenues among patent holders, we conduct an axiomatic analysis of sharing rules for royalty revenue derived from patents managed by a patent pool agent. In our framework, the patent pool agent organizes the patents into some packages, which we call a package structure. By using the hypergraph formulation developed by van den Nouweland et al. (Int J Game Theory 20:255–268, 1992), we analyze sharing rules that consider the package structure. In our study, we propose a sharing rule and show that it is the unique rule that satisfies efficiency, fairness, and independence requirements. In addition, we analyze sharing rules that enable a patent pool agent to organize a revenue-maximizing and objection-free profile.
专利池是从多个专利持有人那里收集专利并打包提供给用户的一站式系统,它的作用正日益受到研究的关注。为了加强对专利池代理人如何在专利持有人之间分配专利使用费收入的稀缺文献流的研究,我们对专利池代理人管理的专利所产生的使用费收入的分享规则进行了公理分析。在我们的框架中,专利池代理人将专利组织成一些专利包,我们称之为专利包结构。通过使用 van den Nouweland 等人(《国际博弈论》20:255-268,1992 年)开发的超图公式,我们分析了考虑包结构的分享规则。在研究中,我们提出了一种共享规则,并证明它是唯一满足效率、公平性和独立性要求的规则。此外,我们还分析了使专利池代理人能够组织收入最大化且无异议的共享规则。
{"title":"Patent package structures and sharing rules for royalty revenue","authors":"Takaaki Abe, Emiko Fukuda, Shigeo Muto","doi":"10.1007/s00355-024-01532-3","DOIUrl":"https://doi.org/10.1007/s00355-024-01532-3","url":null,"abstract":"<p>The role of patent pools—one-stop systems that gather patents from multiple patent holders and offer them to users as a package—is gaining research attention. To bolster the scarce stream of the literature that has addressed how a patent pool agent distributes royalty revenues among patent holders, we conduct an axiomatic analysis of sharing rules for royalty revenue derived from patents managed by a patent pool agent. In our framework, the patent pool agent organizes the patents into some packages, which we call a package structure. By using the hypergraph formulation developed by van den Nouweland et al. (Int J Game Theory 20:255–268, 1992), we analyze sharing rules that consider the package structure. In our study, we propose a sharing rule and show that it is the unique rule that satisfies efficiency, fairness, and independence requirements. In addition, we analyze sharing rules that enable a patent pool agent to organize a revenue-maximizing and objection-free profile.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"42 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511813","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 : 2024-06-20DOI: 10.1007/s00355-024-01527-0
Tommy Andersson, Umut Dur, Sinan Ertemel, Onur Kesten
We investigate sequential two-stage admission systems with public and private schools. A sequential notion of truthfulness, called straightforwardness, is introduced. Contrary to one-stage systems, sequentiality leads to a trade-off between the existence of a straightforward equilibrium and non-wastefulness. We identify the unique set of rules for two-stage systems that guarantees the existence of a straightforward equilibrium and reduces waste. Existing admission systems in Türkiye and Sweden are analyzed within our general framework.
{"title":"Sequential school choice with public and private schools","authors":"Tommy Andersson, Umut Dur, Sinan Ertemel, Onur Kesten","doi":"10.1007/s00355-024-01527-0","DOIUrl":"https://doi.org/10.1007/s00355-024-01527-0","url":null,"abstract":"<p>We investigate sequential two-stage admission systems with public and private schools. A sequential notion of truthfulness, called straightforwardness, is introduced. Contrary to one-stage systems, sequentiality leads to a trade-off between the existence of a straightforward equilibrium and non-wastefulness. We identify the unique set of rules for two-stage systems that guarantees the existence of a straightforward equilibrium and reduces waste. Existing admission systems in Türkiye and Sweden are analyzed within our general framework.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"181 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511812","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 : 2024-06-03DOI: 10.1007/s00355-024-01529-y
Semih Koray, Talat Senocak
Universal self-selectivity of a social choice function (SCF) F defined in Koray (Econometrica 68:981–995, 2000) implies that F is either dictatorial or anti-dictatorial. In an attempt to escape this impossibility, here we weaken self-selectivity of an SCF by introducing the notion of selection-closedness pertaining to families of SCFs. As in the self-selectivity setting, a society, which is to make a choice from a set A of alternatives, is also to choose the choice rule that will be employed in making that choice. Self-selectivity of an SCF F requires that F outrivals all available SCFs by selecting itself from among them if it is also used in choosing the choice rule, where the societal preferences on the available SCFs are induced from those on the set A of alternatives in a consequentialist way. Given a collection ({mathscr {F}}) of SCFs and a nonempty finite set ({mathcal {A}}) of available SCFs containing also members of ({mathscr {F}},) an SCF in ({mathscr {F}} cap {mathcal {A}}) is now not required any more to select itself from ({mathcal {A}},) but it suffices that it selects some member of ({mathscr {F}}) for ({mathscr {F}}) to be selection-closed. It is shown that a proper subset of the collection of all neutral SCFs is selection-closed if and only if all its members are either dictatorships or anti-dictatorships. We further weaken the notion of selection-closedness to an extent that not only enables us to escape the impossibility result, but also equips us with a yardstick to compare correspondences as to whether or not their singleton valued refinements form a weakly selection-closed family. A rich family of scoring correspondences with strict scoring vectors are shown to pass the test of weak selection-closedness, while the Pareto and Condorcet correspondences fail.
Koray (Econometrica 68:981-995, 2000) 中定义的社会选择函数(SCF)F 的普遍自选择性意味着 F 要么是独裁的,要么是反独裁的。为了摆脱这种不可能性,这里通过引入与 SCF 家族相关的选择封闭性概念来弱化 SCF 的自选择性。与自我选择性一样,一个社会要从一组备选方案 A 中做出选择,也要选择在做出选择时所采用的选择规则。一个 SCF F 的自选择性要求,如果它也被用于选择选择规则,那么 F 通过从这些 SCF 中选择自己而超越了所有可用的 SCF,其中社会对可用 SCF 的偏好是以结果主义的方式从替代品集合 A 的偏好中引出的。给定一个SCF集合({mathscr {F}}) 和一个可用SCF的非空有限集合({mathcal {A}}),其中也包含({mathscr {F}}、)中的一个SCF现在不再需要从({mathcal {A}}, )中选择它自己了,但是它必须选择({mathscr {F}}) 中的某个成员,这样({mathscr {F}}) 才是选择封闭的。研究表明,所有中性 SCF 集合的一个适当子集是选择封闭的,当且仅当它的所有成员要么是独裁者要么是反独裁者。我们进一步弱化了选择封闭性的概念,这不仅使我们摆脱了不可能性结果,而且还为我们提供了一个比较对应关系的标准,即它们的单子值细化是否构成了一个弱选择封闭的家族。结果表明,具有严格计分向量的丰富计分对应系通过了弱选择封闭性检验,而帕累托和康德赛特对应系则未能通过检验。
{"title":"Selection closedness and scoring correspondences","authors":"Semih Koray, Talat Senocak","doi":"10.1007/s00355-024-01529-y","DOIUrl":"https://doi.org/10.1007/s00355-024-01529-y","url":null,"abstract":"<p>Universal self-selectivity of a social choice function (SCF) <i>F</i> defined in Koray (Econometrica 68:981–995, 2000) implies that <i>F</i> is either dictatorial or anti-dictatorial. In an attempt to escape this impossibility, here we weaken self-selectivity of an SCF by introducing the notion of selection-closedness pertaining to families of SCFs. As in the self-selectivity setting, a society, which is to make a choice from a set <i>A</i> of alternatives, is also to choose the choice rule that will be employed in making that choice. Self-selectivity of an SCF <i>F</i> requires that <i>F</i> outrivals all available SCFs by selecting itself from among them if it is also used in choosing the choice rule, where the societal preferences on the available SCFs are induced from those on the set <i>A</i> of alternatives in a consequentialist way. Given a collection <span>({mathscr {F}})</span> of SCFs and a nonempty finite set <span>({mathcal {A}})</span> of available SCFs containing also members of <span>({mathscr {F}},)</span> an SCF in <span>({mathscr {F}} cap {mathcal {A}})</span> is now not required any more to select itself from <span>({mathcal {A}},)</span> but it suffices that it selects some member of <span>({mathscr {F}})</span> for <span>({mathscr {F}})</span> to be selection-closed. It is shown that a proper subset of the collection of all neutral SCFs is selection-closed if and only if all its members are either dictatorships or anti-dictatorships. We further weaken the notion of selection-closedness to an extent that not only enables us to escape the impossibility result, but also equips us with a yardstick to compare correspondences as to whether or not their singleton valued refinements form a weakly selection-closed family. A rich family of scoring correspondences with strict scoring vectors are shown to pass the test of weak selection-closedness, while the Pareto and Condorcet correspondences fail.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"70 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256656","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 : 2024-05-15DOI: 10.1007/s00355-024-01516-3
Franz Dietrich, Christian List
Judgment-aggregation theory has always focused on the attainment of rational collective judgments. But so far, rationality has been understood in static terms: as coherence of judgments at a given time, defined as consistency, completeness, and/or deductive closure. This paper asks whether collective judgments can be dynamically rational, so that they change rationally in response to new information. Formally, a judgment aggregation rule is dynamically rational with respect to a given revision operator if, whenever all individuals revise their judgments in light of some information (a learnt proposition), then the new aggregate judgments are the old ones revised in light of this information, i.e., aggregation and revision commute. We prove an impossibility theorem: if the propositions on the agenda are non-trivially connected, no judgment aggregation rule with standard properties is dynamically rational with respect to any revision operator satisfying some basic conditions. Our theorem is the dynamic-rationality counterpart of some well-known impossibility theorems for static rationality. We also explore how dynamic rationality might be achieved by relaxing some of the conditions on the aggregation rule and/or the revision operator. Notably, premise-based aggregation rules are dynamically rational with respect to so-called premise-based revision operators.
{"title":"Dynamically rational judgment aggregation","authors":"Franz Dietrich, Christian List","doi":"10.1007/s00355-024-01516-3","DOIUrl":"https://doi.org/10.1007/s00355-024-01516-3","url":null,"abstract":"<p>Judgment-aggregation theory has always focused on the attainment of rational collective judgments. But so far, rationality has been understood in static terms: as coherence of judgments at a given time, defined as consistency, completeness, and/or deductive closure. This paper asks whether collective judgments can be dynamically rational, so that they change rationally in response to new information. Formally, a judgment aggregation rule is dynamically rational with respect to a given revision operator if, whenever all individuals revise their judgments in light of some information (a learnt proposition), then the new aggregate judgments are the old ones revised in light of this information, i.e., aggregation and revision commute. We prove an impossibility theorem: if the propositions on the agenda are non-trivially connected, no judgment aggregation rule with standard properties is dynamically rational with respect to any revision operator satisfying some basic conditions. Our theorem is the dynamic-rationality counterpart of some well-known impossibility theorems for static rationality. We also explore how dynamic rationality might be achieved by relaxing some of the conditions on the aggregation rule and/or the revision operator. Notably, premise-based aggregation rules are dynamically rational with respect to so-called premise-based revision operators.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"34 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141060697","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}