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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
Expectations for the MPC chair and interest rate persistence 对货币政策委员会主席和利率持续性的预期
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-18 DOI: 10.1016/j.mathsocsci.2024.01.005
Yuta Saito
{"title":"Expectations for the MPC chair and interest rate persistence","authors":"Yuta Saito","doi":"10.1016/j.mathsocsci.2024.01.005","DOIUrl":"10.1016/j.mathsocsci.2024.01.005","url":null,"abstract":"<div><p>This paper examines how the public’s expectations for the chair of the monetary policy committee influence policy outcomes. We show that the expectation that the chair will propose their ideal policy at the meeting can lead a majority of the committee to reject the policy change. The result suggests that the expectation of the chair’s agenda setting is a determinant of interest rate persistence.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 25-30"},"PeriodicalIF":0.6,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000143/pdfft?md5=2cd8a5d7e3ec5abf6b6cb2cbb5efd2f2&pid=1-s2.0-S0165489624000143-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139516384","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
Externalities and the (pre)nucleolus in cooperative games 合作博弈中的外在性和（前）核子
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-13 DOI: 10.1016/j.mathsocsci.2024.01.003
Mikel Álvarez-Mozos , Lars Ehlers
{"title":"Externalities and the (pre)nucleolus in cooperative games","authors":"Mikel Álvarez-Mozos ,&nbsp;Lars Ehlers","doi":"10.1016/j.mathsocsci.2024.01.003","DOIUrl":"https://doi.org/10.1016/j.mathsocsci.2024.01.003","url":null,"abstract":"<div><p>In most economic applications of cooperative games, externalities prevail: the worth of a coalition depends on how the other players are organized. We show that there is a unique natural way of extending the prenucleolus to games with coalitional externalities. This is in contrast to the Shapley value and the core for which many different extensions have been proposed.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 10-15"},"PeriodicalIF":0.6,"publicationDate":"2024-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S016548962400012X/pdfft?md5=1b6e1ab17b414c1b38ceb0b8c2bee407&pid=1-s2.0-S016548962400012X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139493356","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
Classification aggregation without unanimity 无一致意见的分类汇总
IF 0.6 4区 经济学
Mathematical Social Sciences Pub Date : 2024-01-11 DOI: 10.1016/j.mathsocsci.2024.01.002
Olivier Cailloux , Matthieu Hervouin , Ali I. Ozkes , M. Remzi Sanver
{"title":"Classification aggregation without unanimity","authors":"Olivier Cailloux ,&nbsp;Matthieu Hervouin ,&nbsp;Ali I. Ozkes ,&nbsp;M. Remzi Sanver","doi":"10.1016/j.mathsocsci.2024.01.002","DOIUrl":"10.1016/j.mathsocsci.2024.01.002","url":null,"abstract":"<div><p>A classification is a surjective mapping from a set of objects to a set of categories. A classification aggregation function aggregates every vector of classifications into a single one. We show that every citizen sovereign and independent classification aggregation function is essentially a dictatorship. This impossibility implies an earlier result of Maniquet and Mongin (2016), who show that every unanimous and independent classification aggregation function is a dictatorship. The relationship between the two impossibilities is reminiscent to the relationship between Wilson’s (1972) and Arrow’s (1951) impossibilities in preference aggregation. Moreover, while the Maniquet-Mongin impossibility rests on the existence of at least three categories, we propose an alternative proof technique that covers the case of two categories, except when the number of objects is also two. We also identify all independent and unanimous classification aggregation functions for the case of two categories and two objects.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"128 ","pages":"Pages 6-9"},"PeriodicalIF":0.6,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000088/pdfft?md5=0187f37c798bf0c6a8c9bf69de97a8da&pid=1-s2.0-S0165489624000088-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139422830","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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