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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
Network externalities in a vertically differentiated luxury goods market 垂直差异化奢侈品市场的网络外部性
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-02-03 DOI: 10.1016/j.mathsocsci.2024.02.001
Di Wu , Ji Sun , Leonard F.S. Wang , Huizhong Liu
{"title":"Network externalities in a vertically differentiated luxury goods market","authors":"Di Wu ,&nbsp;Ji Sun ,&nbsp;Leonard F.S. Wang ,&nbsp;Huizhong Liu","doi":"10.1016/j.mathsocsci.2024.02.001","DOIUrl":"10.1016/j.mathsocsci.2024.02.001","url":null,"abstract":"<div><p>This study examines the impact of network externalities on the market performance of vertically differentiated luxury products. Luxury consumption triggers vanity-driven utility, which decreases due to the snob effect as market share expands. By employing a duopoly model under price competition, we demonstrate that a higher degree of network externalities enhances high-quality product market share, price, and profit while reducing those for low-quality products. The crowding-out of high-quality products on low-quality products becomes more pronounced as network externalities increase. We analyze the effects of quality improvement on equilibrium outcomes, revealing that a moderate reduction in the quality gap benefits social welfare. In contrast, a marginal gap leads to a lose-lose situation for firms. Our study underscores the importance of retaining low-quality products and adopting quality promotion strategies for high-quality products.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 100-109"},"PeriodicalIF":0.6,"publicationDate":"2024-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139677885","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
Taylor and fiscal rules: When do they stabilize the economy? 泰勒和财政规则：它们何时能稳定经济？
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-02-01 DOI: 10.1016/j.mathsocsci.2024.01.004
Francesco Magris , Daria Onori
{"title":"Taylor and fiscal rules: When do they stabilize the economy?","authors":"Francesco Magris ,&nbsp;Daria Onori","doi":"10.1016/j.mathsocsci.2024.01.004","DOIUrl":"10.1016/j.mathsocsci.2024.01.004","url":null,"abstract":"<div><p>We consider a New Keynesian model with nominal rigidities and fractional cash in-advance constraint on consumption expenditures. We study the stability properties of the model when Taylor rules react either to current inflation or to expected one. We account for different public sector budget identities and different fiscal policies ensuring Government solvency. Under an independent Central Bank, forward-looking Taylor rules promote sunspot fluctuations more easily than contemporaneous ones because they set in motion a mechanism of self-fulfilling prophecies. Conversely, the introduction of capital as an asset alongside public securities facilitates smoothing behavior and reduces the region of indeterminacy but brings out multiple steady states. When public sector budget identities are consolidated, the stabilization of total public liabilities reduces the likelihood of sunspot fluctuations and even rules them out in the presence of capital accumulation. Finally, we perform a complete welfare analysis allowing to rank equilibria and to identify the best policy mix to implement Pareto-superior outcomes.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 68-89"},"PeriodicalIF":0.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139677901","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
Optimal influence under observational learning 观察学习下的最佳影响力
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-02-01 DOI: 10.1016/j.mathsocsci.2024.01.011
Nikolas Tsakas
{"title":"Optimal influence under observational learning","authors":"Nikolas Tsakas","doi":"10.1016/j.mathsocsci.2024.01.011","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.01.011","url":null,"abstract":"<div><p>We study the optimal targeting problem of a firm that is seeking to maximize the diffusion of a product in a society where agents learn from their neighbors. The firm can seed the product to a subset of the population and our goal is to find which the optimal subset to target is. We provide a condition that characterizes the optimal targeting strategy for any network structure. The key parameter in this condition is the agents’ decay centrality, which takes into account how close an agent is to others, in a way that distant agents are weighted less than closer ones.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 41-51"},"PeriodicalIF":0.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139674116","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
A game-theoretic implication of the Riemann hypothesis 黎曼假设的博弈论含义
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-26 DOI: 10.1016/j.mathsocsci.2024.01.007
Christian Ewerhart
{"title":"A game-theoretic implication of the Riemann hypothesis","authors":"Christian Ewerhart","doi":"10.1016/j.mathsocsci.2024.01.007","DOIUrl":"10.1016/j.mathsocsci.2024.01.007","url":null,"abstract":"<div><p>The Riemann hypothesis (RH) is one of the major unsolved problems in pure mathematics. In the present paper, a parameterized family of non-cooperative games is constructed with the property that, if RH is true, then any game in the family admits a unique Nash equilibrium. We argue that this result is not degenerate. Indeed, neither is the conclusion a tautology, nor is RH used to define the family of games.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 52-59"},"PeriodicalIF":0.6,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000167/pdfft?md5=f43e23ae61ca2ca71d6971f39fd4c1a4&pid=1-s2.0-S0165489624000167-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139579252","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
Dynamics of opinion polarization in a population 人口中舆论两极分化的动态变化
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-24 DOI: 10.1016/j.mathsocsci.2024.01.009
Ricardo Cano Macias , Jorge Mauricio Ruiz Vera
{"title":"Dynamics of opinion polarization in a population","authors":"Ricardo Cano Macias ,&nbsp;Jorge Mauricio Ruiz Vera","doi":"10.1016/j.mathsocsci.2024.01.009","DOIUrl":"10.1016/j.mathsocsci.2024.01.009","url":null,"abstract":"<div><p>This article addresses the polarization of the population around an idea and proposes a simple model that describes its dynamics in a society characterized by asymmetries in freedom of expression. The model considers a population divided into followers of an idea, consisting of moderate sympathizers and staunch defenders, and a group of opponents who try to spread their position but are also susceptible to opinion change. An analysis of stability of the proposed system of differential equations is conducted to examine policies that prevent homogenization around the idea. The results reveal conditionally stable equilibrium points that represent the coexistence of opinions and the extinction of polarization. Two threshold values are proposed to determine the persistence of polarization over time. Furthermore, the results of the model are validated through the analysis of two real cases of polarization in Colombian society, demonstrating its ability to reproduce the general behavior of opinion divergence and its utility in polarization control.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 31-40"},"PeriodicalIF":0.6,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000180/pdfft?md5=b0c31f70280598cc4da3168bdced3416&pid=1-s2.0-S0165489624000180-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139579116","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
Horizontal mergers with Bertrand competition and convex costs 贝特朗竞争和凸成本下的横向兼并
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-24 DOI: 10.1016/j.mathsocsci.2024.01.010
Elpiniki Bakaouka , Marc Escrihuela-Villar , Walter Ferrarese
{"title":"Horizontal mergers with Bertrand competition and convex costs","authors":"Elpiniki Bakaouka ,&nbsp;Marc Escrihuela-Villar ,&nbsp;Walter Ferrarese","doi":"10.1016/j.mathsocsci.2024.01.010","DOIUrl":"10.1016/j.mathsocsci.2024.01.010","url":null,"abstract":"<div><p>We discuss horizontal mergers in a homogeneous good industry where firms compete à la Bertrand with increasing marginal production costs. We show that profitable mergers can occur even for lower post-merger prices with respect to the pre-merger scenario, thus implying an increase in consumer surplus. The driving force of the result is the ability of the merged entity cutting production costs by sharing the output among its plants. This output rationalization effect can compensate for the revenue loss due to the merged entity producing less than the cumulated pre-merger production of the merging parties.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 60-67"},"PeriodicalIF":0.6,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000192/pdfft?md5=c2982eb677dc27e32d813c92c257f903&pid=1-s2.0-S0165489624000192-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139633610","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
Note on “A classification of peak-pit maximal Condorcet domains” by Guanhao Li, Mathematical Social Sciences 125 (2023), 42–57 李冠豪《峰坑最大康德塞特域的分类》注释，《数学社会科学》125 (2023)，42-57
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-19 DOI: 10.1016/j.mathsocsci.2024.01.006
Clemens Puppe , Arkadii Slinko
{"title":"Note on “A classification of peak-pit maximal Condorcet domains” by Guanhao Li, Mathematical Social Sciences 125 (2023), 42–57","authors":"Clemens Puppe ,&nbsp;Arkadii Slinko","doi":"10.1016/j.mathsocsci.2024.01.006","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.01.006","url":null,"abstract":"<div><p>The note presents a counter example to <span>Li (2023)</span>.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 16-17"},"PeriodicalIF":0.6,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000155/pdfft?md5=360a99936da19b82d0674a578e5ae61e&pid=1-s2.0-S0165489624000155-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139503737","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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