Susumu Cato, Stéphane Gonzalez, Eric Rémila, Philippe Solal
{"title":"Filters in abstract aggregation with infinite sequences of signals","authors":"Susumu Cato, Stéphane Gonzalez, Eric Rémila, Philippe Solal","doi":"10.1016/j.mathsocsci.2026.102551","DOIUrl":"10.1016/j.mathsocsci.2026.102551","url":null,"abstract":"<div><div>This study proposes a general framework for aggregation problems, in which agents’ signals given in an infinite sequence are aggregated. Notably, no restriction is imposed on the set of signals; hence, this framework is applicable to any type of attributes, including preferences, ballots, pieces of information, or judgments. The result can include the empty set that corresponds to the silence of the aggregation rule. Our main focus is to analyze the process by which the structure of the family of decisive coalitions forms a filter or an ultrafilter. In our framework, a coalition is regarded as decisive if a signal is socially approved as long as every agent in the coalition picks the signal up unanimously. First, we show that the family of decisive coalitions forms a filter under a certain axiom representing a stability condition. Next, in the case where the set of signals is finite, we provide axiomatic characterizations of the class of agreement-based rules associated with filters or ultrafilters: a signal is approved if and only if it is a unanimous agreement of some coalition in a specified filter or ultrafilter. Our axiomatic results demonstrate the robustness and stability of such rules.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102551"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148556340","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}
{"title":"The relationship between general equilibrium models with infinitely-lived agents and overlapping generations models, and some applications","authors":"Ngoc-Sang Pham","doi":"10.1016/j.mathsocsci.2026.102553","DOIUrl":"10.1016/j.mathsocsci.2026.102553","url":null,"abstract":"<div><div>We prove that a two-cycle equilibrium in a general equilibrium model with infinitely-lived agents (GEILA) constitutes an equilibrium in an overlapping generations (OLG) model. Conversely, an equilibrium in an OLG model that satisfies additional conditions can be embedded in an equilibrium in a GEILA model. Our framework, which includes three assets (physical capital, a Lucas tree, and fiat money), encompasses both exchange and production economies. As an application, we demonstrate that equilibrium indeterminacy and rational asset price bubbles can arise not only in OLG models but also in GEILA models.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102553"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148542139","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}
{"title":"Strategic hiding and exploration in networks","authors":"Francis Bloch, Bhaskar Dutta, Marcin Dziubiński","doi":"10.1016/j.mathsocsci.2026.102549","DOIUrl":"10.1016/j.mathsocsci.2026.102549","url":null,"abstract":"<div><div>We propose and study a model of strategic network design and exploration where the hider, subject to a budget constraint restricting the number of links, chooses a network with a distinguished source node and the location of an object in the network, reachable from the source. Meanwhile, the seeker, not observing the network and the location of the object, chooses a network exploration strategy starting at a fixed node in the network. The network exploration follows the expanding search paradigm of Alpern and Lidbetter (2013). We obtain a Nash equilibrium and characterize equilibrium payoffs in the case of linking budget allowing for trees only. We also give an upper bound on the expected number of steps needed to find the hider for the case where the linking budget allows for at most one cycle in the network.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102549"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148556341","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}
{"title":"Null players, solidarity, and a generalization of the egalitarian Shapley values","authors":"Takumi Kongo","doi":"10.1016/j.mathsocsci.2026.102548","DOIUrl":"10.1016/j.mathsocsci.2026.102548","url":null,"abstract":"<div><div>By focusing on an environment where non-productive players obtain non-negative payoffs, we characterize a generalization of the egalitarian Shapley values.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102548"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148542137","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}
{"title":"Nested removal of strictly dominated strategies in infinite games","authors":"Michele Crescenzi","doi":"10.1016/j.mathsocsci.2026.102552","DOIUrl":"10.1016/j.mathsocsci.2026.102552","url":null,"abstract":"<div><div>We compare two procedures for the iterated removal of strictly dominated strategies. In the nested procedure, a strategy of a player is removed only if it is dominated by an unremoved strategy. The universal procedure is more comprehensive for it allows the removal of strategies that are dominated by previously removed ones. Outside the class of finite games, the two procedures may lead to different outcomes in that the universal one is always order independent while the other is not. We provide necessary and sufficient conditions for the equivalence of the two procedures. The conditions we give are based on completely bounded subsets of strategy profiles, which are variations of the bounded mechanisms from the literature on full implementation. The two elimination procedures are also shown to be equivalent in quasisupermodular games as well as in games with compact strategy spaces and upper semicontinuous payoff functions. Finally, we give an example of a game in which the nested procedure is order independent but not equivalent to the universal one, thus showing that order independence is not sufficient to guarantee the equivalence of the two elimination procedures.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102552"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148542136","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}
{"title":"Information projection and selective search: Implement now or draw again","authors":"Kohei Daido, Tomoya Tajika","doi":"10.1016/j.mathsocsci.2026.102546","DOIUrl":"10.1016/j.mathsocsci.2026.102546","url":null,"abstract":"<div><div>We study how interpersonal information projection bias influences a researcher’s decision to implement a current idea or to continue drawing new ones. Consistent misbeliefs, such as overconfidence or underconfidence, distort beliefs in a fixed manner. In contrast, information projection creates state-dependent beliefs: before an idea arises, the researcher is optimistic about its uniqueness, and once the idea is in hand, the researcher becomes pessimistic. This fluctuation makes implementation less attractive and makes repeated searches more appealing. Our analysis yields two key findings. First, compared to any consistent-misbelief researcher whose fixed belief falls between the optimistic and pessimistic assessments of the information projection researcher, the information projection researcher is more selective: implementing less, drawing more ideas, and quitting less frequently. Second, at sufficiently high performance thresholds, researchers who end up passing the threshold are disproportionately information projection researchers. Consequently, information projection systematically biases both individual search dynamics and the composition of such researchers.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102546"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148542099","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}
{"title":"When free-riding on contributing to an impurely shared good decreases with greater concentration of interests","authors":"David A. Hennessy, Jian Li","doi":"10.1016/j.mathsocsci.2026.102550","DOIUrl":"10.1016/j.mathsocsci.2026.102550","url":null,"abstract":"<div><div>While a well-developed conceptual foundation for understanding underinvestment in shared goods exists, how heterogeneity in interests among a group affects expenditures relative to the socially optimal level has received little scrutiny. We show that <em>i</em>) the majorization partial ordering is an appropriate way to think about heterogeneous interests, and <em>ii</em>) reasonable technologies exist where more concentration decreases expenditure at the intensive margin, i.e., when all group members spend. However, greater concentration of interests eventually leads to greater aggregate expenditure because the least interested cease spending, leaving the burden entirely on those with most interest.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"142 ","pages":"Article 102550"},"PeriodicalIF":0.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148542138","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}
{"title":"Maximal elements of preorders from countable continuous multi-utilities","authors":"Gianni Bosi, Gabriele Sbaiz","doi":"10.1016/j.mathsocsci.2026.102533","DOIUrl":"10.1016/j.mathsocsci.2026.102533","url":null,"abstract":"<div><div>We present conditions on a topology, under which every closed preorder admits a countable continuous multi-utility representation. We compare such topological conditions with other existing conditions, which guarantee the existence of continuous utility representations of all continuous total preorders. We apply our results to the existence of maximal elements of preorders on compact metrizable topological spaces.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"141 ","pages":"Article 102533"},"PeriodicalIF":0.7,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147850141","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}
{"title":"The impact of asset bubbles on capital and employment: The roles of labor unions and capital externality","authors":"Kathia Bahloul Zekkari","doi":"10.1016/j.mathsocsci.2026.102505","DOIUrl":"10.1016/j.mathsocsci.2026.102505","url":null,"abstract":"<div><div>This paper explores how asset bubbles influence employment and capital accumulation. The analysis is based on an overlapping generations (OLG) framework that incorporates trade union bargaining power and positive externality of aggregate capital. It shows that equilibrium inefficiency in the absence of bubbles — combined with sufficiently strong union bargaining power — can lead to the emergence of a bubble. This inefficiency stems from suboptimal employment levels. In this context, bubbles exert a crowding-in effect on employment, capital accumulation, and workers’ welfare. When driven by strong union bargaining, bubbles raise the return on productive capital, lower reservation wages, and stimulate hiring. These effects are further amplified by capital externalities, which enhance both investment and welfare.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"140 ","pages":"Article 102505"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146078325","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}
Begoña Subiza , José-Manuel Giménez-Gómez , Josep E. Peris
{"title":"Non-emptiness of the core of mcst games with revenues","authors":"Begoña Subiza , José-Manuel Giménez-Gómez , Josep E. Peris","doi":"10.1016/j.mathsocsci.2026.102508","DOIUrl":"10.1016/j.mathsocsci.2026.102508","url":null,"abstract":"<div><div>The minimum cost spanning tree (<span><math><mrow><mi>m</mi><mi>c</mi><mi>s</mi><mi>t</mi></mrow></math></span>) problem analyzes how to efficiently connect geographically dispersed agents to a common source. Estévez-Fernández and Reijnierse (2014) study <span><math><mrow><mi>m</mi><mi>c</mi><mi>s</mi><mi>t</mi></mrow></math></span> problems involving revenues, in which the agents benefit from being connected to the source. A key feature of their framework is that only certain coalitions, called <em>effective coalitions</em>, make sense to form. Estévez-Fernández and Reijnierse (2014) show that the core in cost–revenue <span><math><mrow><mi>m</mi><mi>c</mi><mi>s</mi><mi>t</mi></mrow></math></span> games is typically empty. In this paper, we present a necessary condition that <span><math><mrow><mi>m</mi><mi>c</mi><mi>s</mi><mi>t</mi></mrow></math></span> games with revenues need to fulfill to ensure the non-emptiness of the core: the existence of at least one agent with <em>veto power</em>, i.e., an agent whose participation is required in every effective coalition. Additionally, we extend the sufficient condition in Estévez-Fernández and Reijnierse (2014) for elementary cost <span><math><mrow><mi>m</mi><mi>c</mi><mi>s</mi><mi>t</mi></mrow></math></span> problems.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"140 ","pages":"Article 102508"},"PeriodicalIF":0.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038597","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}