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On the continuity of the Walras correspondence in distributional economies with an infinite-dimensional commodity space 论无限维商品空间分配经济中瓦尔拉斯对应关系的连续性
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-26 DOI: 10.1016/j.mathsocsci.2024.03.005
Sebastián Cea-Echenique , Matías Fuentes
{"title":"On the continuity of the Walras correspondence in distributional economies with an infinite-dimensional commodity space","authors":"Sebastián Cea-Echenique ,&nbsp;Matías Fuentes","doi":"10.1016/j.mathsocsci.2024.03.005","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.03.005","url":null,"abstract":"<div><p>Distributional economies are defined by a probability distribution in the space of characteristics where the commodity space is an ordered separable Banach space. We characterize the continuity of the equilibrium correspondence and an associated stability concept which allows us to give a positive answer to an open question about the continuity of the Walras correspondence in infinite-dimensional spaces. As a byproduct, we study a stability concept where differentiability assumptions are not required, as is usual in the literature on regularity. Moreover, since distributional economies do not specify a space of agents, our setting encompasses several results in the literature on large economies.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 61-69"},"PeriodicalIF":0.6,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140290329","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}
引用次数: 0
Exploring the constraints on artificial general intelligence: A game-theoretic model of human vs machine interaction 探索人工通用智能的制约因素：人机互动的博弈论模型
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-22 DOI: 10.1016/j.mathsocsci.2024.03.004
Mehmet S. Ismail
{"title":"Exploring the constraints on artificial general intelligence: A game-theoretic model of human vs machine interaction","authors":"Mehmet S. Ismail","doi":"10.1016/j.mathsocsci.2024.03.004","DOIUrl":"10.1016/j.mathsocsci.2024.03.004","url":null,"abstract":"<div><p>The potential emergence of artificial general intelligence (AGI) systems has sparked intense debate among researchers, policymakers, and the public due to their potential to surpass human intelligence in all domains. This note argues that for an AI to be considered “general”, it should achieve superhuman performance not only in zero-sum games but also in general-sum games, where winning or losing is not clearly defined. In this note, I propose a game-theoretic framework that captures the strategic interactions between a representative human agent and a potential superhuman machine agent. Four assumptions underpin this framework: Superhuman Machine, Machine Strategy, Rationality, and Strategic Unpredictability. The main result is an impossibility theorem, establishing that these assumptions are inconsistent when taken together, but relaxing any one of them results in a consistent set of assumptions. This note contributes to a better understanding of the theoretical context that can shape the development of superhuman AI.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 70-76"},"PeriodicalIF":0.6,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000350/pdfft?md5=d91abed3d66e2e1fea4feb7ce1a16259&pid=1-s2.0-S0165489624000350-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140281660","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}
引用次数: 0
Core–periphery and nested networks emerging from a simple model of network formation 从网络形成的简单模型中发现的核心-外围和嵌套网络
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-16 DOI: 10.1016/j.mathsocsci.2024.03.003
Norma Olaizola , Federico Valenciano
{"title":"Core–periphery and nested networks emerging from a simple model of network formation","authors":"Norma Olaizola ,&nbsp;Federico Valenciano","doi":"10.1016/j.mathsocsci.2024.03.003","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.03.003","url":null,"abstract":"<div><p>This paper studies a simple model inspired by the seminal connections model of Jackson and Wolinsky (1996). Node-players can invest in links to connect with other nodes forming networks, but only direct links transmit value. Nodes may have different values and different decreasing returns abilities/technologies to form/strengthen links. The strength of a link depends on the amounts invested in it by the two nodes that it connects and is determined by a separable function of the investments of the players which form the link. Nash-stable and efficient networks are characterized, and a variety of their architectures identified for different configurations of values and technologies.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 42-51"},"PeriodicalIF":0.6,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000349/pdfft?md5=d2034fa60a1dfa6f4c81a98ce7679f76&pid=1-s2.0-S0165489624000349-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140179663","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}
引用次数: 0
Analysis of the core under inequality-averse utility functions 不等价规避效用函数下的核心分析
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-16 DOI: 10.1016/j.mathsocsci.2024.03.001
Seiji Takanashi
{"title":"Analysis of the core under inequality-averse utility functions","authors":"Seiji Takanashi","doi":"10.1016/j.mathsocsci.2024.03.001","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.03.001","url":null,"abstract":"<div><p>We reexamine core-stability, incorporating inequality-averse preferences and challenging the conventional core’s stability under such preferences. We integrate existing social preferences tied to inequality aversion into a cooperative game model with transferable utility (TU games), introducing a novel core. We characterize the new core through inequalities akin to the “coalitional rationality” in TU games and conduct a comparative statics analysis on two parameters–envy and sympathy–representing inequality aversion. Our findings reveal that an increase in the envy parameter reduces elements in the new core, while heightened sympathy does not consistently decrease core elements.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 52-60"},"PeriodicalIF":0.6,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140195914","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}
引用次数: 0
Aggregation of ranked categories 分类汇总
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-15 DOI: 10.1016/j.mathsocsci.2024.03.002
John Craven
{"title":"Aggregation of ranked categories","authors":"John Craven","doi":"10.1016/j.mathsocsci.2024.03.002","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.03.002","url":null,"abstract":"<div><p>We consider the aggregation of classifications of objects that are graded in a single dimension into categories that are ranked. Grading is a sufficient domain restriction to avoid dictatorship. In contrast to other results, it is possible to use a majority-based aggregator when objects can be located in any number of categories. The aggregator locates an object below a boundary between specified categories just if a majority do so. In contrast, preponderance aggregators that are directly based on locations of objects can locate a higher graded object in a lower ranked category. Any aggregator that satisfies other independence conditions relating to the locations of objects or positions of boundaries must be dictatorial.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 27-33"},"PeriodicalIF":0.6,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000337/pdfft?md5=4894acb18f09cfae1c2d041305b75476&pid=1-s2.0-S0165489624000337-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140139088","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}
引用次数: 0
The core in an N-firm dynamic Cournot oligopoly N 家公司动态库诺寡头垄断中的核心企业
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-06 DOI: 10.1016/j.mathsocsci.2024.02.005
Lei Wang , Jingang Zhao
{"title":"The core in an N-firm dynamic Cournot oligopoly","authors":"Lei Wang ,&nbsp;Jingang Zhao","doi":"10.1016/j.mathsocsci.2024.02.005","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.02.005","url":null,"abstract":"<div><p>This paper extends Scarf’s (1971) <span><math><mi>α</mi></math></span>-core result to a dynamic Cournot oligopoly. It shows that the <span><math><mi>α</mi></math></span>, <span><math><mi>β</mi></math></span>, <span><math><mi>γ</mi></math></span>-cores are all non-empty in an <span><math><mi>n</mi></math></span>-firm dynamic Cournot oligopoly with linear demand and symmetric quadratic costs.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 20-26"},"PeriodicalIF":0.6,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140069335","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}
引用次数: 0
Delegation to incentivize information production 授权激励信息生产
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-03-01 DOI: 10.1016/j.mathsocsci.2024.02.004
Cheng Li , Huangxing Mao
{"title":"Delegation to incentivize information production","authors":"Cheng Li ,&nbsp;Huangxing Mao","doi":"10.1016/j.mathsocsci.2024.02.004","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.02.004","url":null,"abstract":"<div><p>This paper examines the impact of delegating decision-making authority to a biased and uninformed agent in a Bayesian persuasion model. We find that delegation can incentivize the sender to produce more information about the merits of the sender’s proposed project. This is because an agent with a small negative bias requires more compelling evidence than the principal to implement the project. The improvement in evidence quality does not occur if the agent’s bias is positive. When the informational benefits exist, delegation lead to higher organizational welfare than centralization. The informational benefits of delegation extend to cases where the principal delegates authority through a general delegation mechanism and when the agent’s bias is privately known.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 1-11"},"PeriodicalIF":0.6,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140016090","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}
引用次数: 0
Increasing the representation of a targeted type in a reserve system 增加储备系统中目标类型的代表性
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-02-28 DOI: 10.1016/j.mathsocsci.2024.01.008
Abdullah Almeer , Umut Dur , Will Harris, Greg Hauser , William Phan , Yanning Zhang
{"title":"Increasing the representation of a targeted type in a reserve system","authors":"Abdullah Almeer ,&nbsp;Umut Dur ,&nbsp;Will Harris,&nbsp;Greg Hauser ,&nbsp;William Phan ,&nbsp;Yanning Zhang","doi":"10.1016/j.mathsocsci.2024.01.008","DOIUrl":"10.1016/j.mathsocsci.2024.01.008","url":null,"abstract":"<div><p>We study the assignment of an object with multiple copies where various numbers can be reserved for some types of individuals. We focus on the reserve system’s ability to increase the representation of a targeted type. We consider a general setting that covers many features considered in the recent literature; in particular, an individual can belong to more than one type and the priorities of individuals may differ across reserved copies. We show how a precedence order can be modified to increase the representation of the targeted type.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 34-41"},"PeriodicalIF":0.6,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140006190","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}
引用次数: 0
Which set of agents plays a key role? An impossibility in transforming binary relations 哪一组代理人起着关键作用？转换二元关系的不可能性
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-02-23 DOI: 10.1016/j.mathsocsci.2024.02.003
Takahiro Suzuki, Masahide Horita
{"title":"Which set of agents plays a key role? An impossibility in transforming binary relations","authors":"Takahiro Suzuki,&nbsp;Masahide Horita","doi":"10.1016/j.mathsocsci.2024.02.003","DOIUrl":"10.1016/j.mathsocsci.2024.02.003","url":null,"abstract":"<div><p>When provided with the performance ranking of multiple sets of agents as input, which set of agents is expected to play the key role? To address this question, we introduce a new rule (transformation rule) that maps a performance ranking over sets of agents into a contributing ranking over sets of agents. Preference extension (PE) and social ranking problem (SRP) represent two special cases. We prove an impossibility theorem: in a sufficiently rich environment, there is no transformation rule that satisfies ceteris paribus weak dominance, self-reflection, and triple-acyclicity. The impossibility is novel in that it is degenerated in PE/SRP models.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 12-19"},"PeriodicalIF":0.6,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139947208","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}
引用次数: 0
Coherence of inequality measures with respect to partial orderings of income distributions 与收入分布部分排序有关的不平等度量的一致性
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-02-08 DOI: 10.1016/j.mathsocsci.2024.02.002
Terence Chan
{"title":"Coherence of inequality measures with respect to partial orderings of income distributions","authors":"Terence Chan","doi":"10.1016/j.mathsocsci.2024.02.002","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.02.002","url":null,"abstract":"<div><p>This paper investigates the coherence of a new class of ratio-based inequality indices introduced in <span>Chan (2022)</span> with respect to certain partial orderings of the underlying income distributions. While coherence with respect to stochastic dominance has been extensively studied, the appropriate partial ordering for this new class of indices is quantile ratio dominance. This paper also establishes coherence with respect to quantile ratio dominance for some other classes of inequality indices which have been introduced by other authors. Finally, some connections between the notion of coherence and transfer principles are explored.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 90-99"},"PeriodicalIF":0.6,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000222/pdfft?md5=50625e4b3d04c25505578c208fb2e482&pid=1-s2.0-S0165489624000222-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139726829","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}
引用次数: 0
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