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47 pages, 518 KB  
Article
Deterministic Q-Learning with Relational Game Theory: Polynomial-Time Convergence to Minimal Winning Coalitions in Symmetric Influence Networks and Extension
by Duc Nghia Vu and Janos Demetrovics
Mathematics 2026, 14(9), 1526; https://doi.org/10.3390/math14091526 - 30 Apr 2026
Cited by 1 | Viewed by 432
Abstract
This paper presents a theoretically grounded integration of deterministic Q-learning with relational game theory (QLRG) for efficiently identifying minimal winning coalitions in Online Social Networks (OSNs). We address the fundamental challenge that coalition formation is NP-hard under traditional approaches by leveraging structural properties [...] Read more.
This paper presents a theoretically grounded integration of deterministic Q-learning with relational game theory (QLRG) for efficiently identifying minimal winning coalitions in Online Social Networks (OSNs). We address the fundamental challenge that coalition formation is NP-hard under traditional approaches by leveraging structural properties of relational dependencies and Armstrong’s axioms to transform the problem into one solvable in polynomial time. Our framework reduces the state space from exponential O(2n) to O(n2) through a sufficient statistic representation based on coalition size, follower reach, and terminal status, while achieving O(n4) time complexity under deterministic, static, and sufficiently symmetric influence structures. The QLRG framework introduces three critical innovations: (1) a principled agent selection mechanism derived directly from the Q-function that eliminates heuristic weight tuning; (2) a formal Boost action defined through temporal closure operators that captures influence spread dynamics; and (3) a constrained MDP formulation that enforces relational consistency through action elimination rather than penalty terms. We prove that the Bellman optimality operator forms a contraction mapping, guaranteeing deterministic convergence to optimal policies with established rates of O(1/√k) for decreasing learning rates or linear convergence up to bias for constant rates. To bridge the gap between this idealized model and the asymmetry inherent in real OSNs, we further develop a cluster-based sufficient statistics approach. By partitioning the network into communities with bounded internal variation, we relax the global symmetry requirement while preserving polynomial state space complexity, and obtaining a single within-community swap changes the optimal Q-value by at most εi1γ, which is a local Lipschitz continuity result. The implications of this are both theoretical and practical, and they form the bedrock for relaxing the global symmetry assumption in the QLRG framework. Empirical validation on synthetic networks satisfying the symmetry assumption demonstrates that QLRG consistently identifies minimal winning coalitions matching the optimal solutions found by exhaustive search, while operating with polynomial-time complexity. Unlike conventional approaches, our framework simultaneously satisfies four critical properties: deterministic convergence, policy optimality, minimal coalition identification, and computational tractability. The work bridges computational social science and operations research, providing a mathematically rigorous foundation for strategic decision-making in influencer marketing and coalition formation. While the framework requires symmetry assumptions that may only hold approximately in real-world OSNs, it establishes an idealized baseline for future extensions addressing stochasticity, dynamics, and partial observability. This research represents a paradigm shift from empirical improvements to theoretically grounded convergence guarantees for coalition formation problems, demonstrating how structural mathematical insights can transform intractable problems into efficiently solvable ones without sacrificing solution quality. Full article
19 pages, 3485 KB  
Article
A Breathing Space: Critical Reflections on the Rewilding of Middleton Tuberculosis Hospital 2016–2025
by Jim Brogden
Arts 2025, 14(6), 166; https://doi.org/10.3390/arts14060166 - 6 Dec 2025
Viewed by 908
Abstract
This article emerges from a researcher-generated longitudinal photography project conducted between 2016 and 2025 situated on the redundant site of the former Middleton Tuberculosis Hospital in North Yorkshire. The research project explored the site’s transformation through an unmanaged rewilding in the context of [...] Read more.
This article emerges from a researcher-generated longitudinal photography project conducted between 2016 and 2025 situated on the redundant site of the former Middleton Tuberculosis Hospital in North Yorkshire. The research project explored the site’s transformation through an unmanaged rewilding in the context of surrounding dairy farms within the Nidderdale ‘area of outstanding natural beauty’. The hospital site is reimagined as a bucolic ‘island’ stranded in the ideological socio-cultural notions embedded in “Nature”, the countryside, and agricultural landscape under increasing pressure to value biodiversity and nature’s restoration. Employing a reflexive lyrical critical lens informed by ‘resonance theory’, social semiotics, and expressive visual sociological practice, the article contributes to the debates surrounding landscape valorization, the contestation of the ‘countryside’ as a working, and recreational landscape. Researcher-generated photographic practice captures the duration of iterative site visits, the seasonal atmosphere and potential experience of resonance of the site, providing vivid sources for reflections, meaning-making, while proselytizing the axiom of Kress, that: ‘without frame no meaning’. The key research questions are: (1) Why is researcher-generated photography, amid AI image production, an effective epistemological method for re-presenting and understanding the significance of unmanaged landscape rewilding? (2) How do photographic re-presentations and lyrical reflexivity convey the lived resonance of being in places like the Middleton Hospital site? The text rejects illustrative photographic use in academic discourse, favoring an expressive, allusive, and lyrical interpretation of rewilding’s socio-cultural value. Full article
(This article belongs to the Special Issue The Visual Arts and Environmental Regeneration in Britain)
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47 pages, 4016 KB  
Article
Ergonomics Management Evaluation Model for Supply Chain: An Axiomatic Design Approach
by Iván Francisco Rodríguez-Gámez, Aide Aracely Maldonado-Macías, Ernesto Alonso Lagarda-Leyva, Juan Luis Hernández-Arellano, Yordán Rodríguez and Arnulfo Naranjo-Flores
Sustainability 2025, 17(12), 5458; https://doi.org/10.3390/su17125458 - 13 Jun 2025
Cited by 2 | Viewed by 1999
Abstract
Organizations worldwide are moving towards sustainability in the supply chains (SCs). Ergonomics management (EM) in SCs can contribute to their social sustainability (SS) by providing a fair, safe, and healthy environment. The literature recognizes the lack of an ergonomics management evaluation model (EMEM) [...] Read more.
Organizations worldwide are moving towards sustainability in the supply chains (SCs). Ergonomics management (EM) in SCs can contribute to their social sustainability (SS) by providing a fair, safe, and healthy environment. The literature recognizes the lack of an ergonomics management evaluation model (EMEM) for SCs contributing to SS. This research aims to propose an EMEM applicable to SCs. A continuous improvement approach with five constructs: Plan, Do, Check, Act, and Leadership and Worker participation (L&WP) was conducted, including nineteen domains, and the axiomatic design methodology was deployed. Design ranges (DRs) were defined by 34 experts from Latin America. System ranges (SRs) were assessed by self-assessments of EM practices to obtain the information content axiom in one case study of the Mexican salt industry. A new ergonomics management index for the supply chain (EMISC) and a corresponding scale were implemented. According to this scale, the index was found to be low, indicating a poor ergonomics management index (EMI) for the supplier link across the nineteen domains. The proposed EMEM effectively obtains an EMI of the supply chain (SC) by link and entirely. The model identifies opportunities to improve ergonomics practices for companies participating in sustainable supply chains (SSC). Full article
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30 pages, 1655 KB  
Article
Strategic Prioritization for Sustainable Development in the Logistics Industry: A FAHP-NFAD Approach
by Minh-Tai Le
Appl. Sci. 2025, 15(8), 4364; https://doi.org/10.3390/app15084364 - 15 Apr 2025
Cited by 3 | Viewed by 1320
Abstract
The development of sustainable strategies in the logistics industry is becoming increasingly important due to environmental, economic, and social pressures. This study aims to identify and rank sustainable strategic options in the logistics industry, thereby providing priorities and a hierarchical structure to support [...] Read more.
The development of sustainable strategies in the logistics industry is becoming increasingly important due to environmental, economic, and social pressures. This study aims to identify and rank sustainable strategic options in the logistics industry, thereby providing priorities and a hierarchical structure to support the decision-making process. The system of sustainable strategic options is built on the theory of three core factors. The Fuzzy Analytic Hierarchy Process and Neutral Fuzzy Axiom Design method is applied to evaluate and rank these options, helping to clarify the relationships and priorities between strategies. The results indicate that strategies such as optimizing green processes, training human resources in green technology, investing in technological innovation, and strengthening cooperation with green partners are the most effective options for the logistics industry. Strategies related to government support, cost optimization, and meeting consumers’ green needs play an important role in the hierarchical structure. This study provides practical recommendations for government agencies and businesses, contributing to promoting sustainable development in green logistics. Full article
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32 pages, 1168 KB  
Article
Effect of Social Sustainability on Supply Chain Resilience Before, During, and After the COVID-19 Pandemic in Mexico: A Partial Least Squares Structural Equation Modeling and Evolutionary Fuzzy Knowledge Transfer Approach
by Miguel Reyna-Castillo, Alejandro Santiago, Ana Xóchitl Barrios-del-Ángel, Francisco Manuel García-Reyes, Fausto Balderas and José Ignacio Anchondo-Pérez
Logistics 2025, 9(2), 50; https://doi.org/10.3390/logistics9020050 - 2 Apr 2025
Cited by 4 | Viewed by 5336
Abstract
Recent disruptions have led to a growing interest in studying the social dimension of sustainability and its relationship to resilience within supply chains. Social sustainability is characterized as complex, often offering anomalous data and confounding variables that are impossible to categorically define as [...] Read more.
Recent disruptions have led to a growing interest in studying the social dimension of sustainability and its relationship to resilience within supply chains. Social sustainability is characterized as complex, often offering anomalous data and confounding variables that are impossible to categorically define as true or false axioms. This work starts from an epistemological premise, in which non-parametric statistical methodologies and mathematical analytics are complementary perspectives to comprehensively understand the same social phenomenon. Second-generation predictive statistics, such as the PLS-SEM algorithm, have demonstrated robustness in treating multivariate social information, making it feasible to prepare data for knowledge transfer with mathematical techniques specialized for fuzzy data. This research aimed to analyze evolutionary fuzzy knowledge transfer pre-, during-, and post-pandemic COVID-19, and its effect on the relationship between social sustainability and supply chain resilience in representative cases from Mexico. Based on empirical data collected from supply chain managers in 2019 (n = 153), 2021 (n = 159), and 2023 (n = 119), the methodological technique involved three phases: (1) PLS-SEM modeling, (2) fuzzy-evolutionary predictive evaluation based on knowledge transfer between latent data, and (3) comparative analysis of the predictive effects of social attributes (labor rights, health and safety, inclusion, and social responsibility) on supply chain resilience. The results found a moderate significant variance in the pre-in-post-COVID-19 effect of social dimensions on supply chain resilience. Social and management implications are presented. Full article
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16 pages, 1414 KB  
Opinion
On Seven Principles of Water Governance
by Renzo Rosso
Water 2025, 17(6), 896; https://doi.org/10.3390/w17060896 - 20 Mar 2025
Cited by 9 | Viewed by 7655
Abstract
Water problems extend beyond the watershed of local communities and single countries. A novel governance approach must comprise coordination and institutional arrangements at the global scale, and rely on a set of axioms that guide the decision-making and actions of various stakeholders involved [...] Read more.
Water problems extend beyond the watershed of local communities and single countries. A novel governance approach must comprise coordination and institutional arrangements at the global scale, and rely on a set of axioms that guide the decision-making and actions of various stakeholders involved in water-related issues. These principles must reflect the awareness of water paradigms across history and geography, as well as the economic, social, environmental, and ethical dimensions of water, aiming at ensuring its sustainable and equitable use, driving governance towards recognizing the value of water for public health and social cohesion, the link of landscape and identity values to water bodies, the social, aesthetic-recreational, and symbolic values of water across the world, and the functions of water in nature. The principles presented here include the human right to water, ecosystem centrality, the principles of shared integration, precautionary, responsibility, and subsidiarity, along with the concept of the common good. The assessment of principles of water governance is essential for implementing any guideline of water management aimed not only at efficiency and security, but at equity and sustainability of water supply and flood mitigation in a globalized and conflict-ridden world. Full article
(This article belongs to the Section Water Resources Management, Policy and Governance)
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22 pages, 1564 KB  
Article
Heritability and Genome-Wide Association Study of Dog Behavioral Phenotypes in a Commercial Breeding Cohort
by Nayan Bhowmik, Shawna R. Cook, Candace Croney, Shanis Barnard, Aynsley C. Romaniuk and Kari J. Ekenstedt
Genes 2024, 15(12), 1611; https://doi.org/10.3390/genes15121611 - 17 Dec 2024
Cited by 2 | Viewed by 5898
Abstract
Background: Canine behavior plays an important role in the success of the human–dog relationship and the dog’s overall welfare, making selection for behavior a vital part of any breeding program. While behaviors are complex traits determined by gene × environment interactions, genetic [...] Read more.
Background: Canine behavior plays an important role in the success of the human–dog relationship and the dog’s overall welfare, making selection for behavior a vital part of any breeding program. While behaviors are complex traits determined by gene × environment interactions, genetic selection for desirable behavioral phenotypes remains possible. Methods: No genomic association studies of dog behavior to date have been reported on a commercial breeding (CB) cohort; therefore, we utilized dogs from these facilities (n = 615 dogs). Behavioral testing followed previously validated protocols, resulting in three phenotypes/variables [social fear (SF), non-social fear (NSF), and startle response (SR)]. Dogs were genotyped on the 710 K Affymetrix Axiom CanineHD SNP array. Results: Inbreeding coefficients indicated that dogs from CB facilities are statistically less inbred than dogs originating from other breeding sources. Heritability estimates for behavioral phenotypes ranged from 0.042 ± 0.045 to 0.354 ± 0.111. A genome-wide association analysis identified genetic loci associated with SF, NSF, and SR; genes near many of these loci have been previously associated with behavioral phenotypes in other populations of dogs. Finally, genetic risk scores demonstrated differences between dogs that were more or less fearful in response to test stimuli, suggesting that these behaviors could be subjected to genetic improvement. Conclusions: This study confirms several canine genetic behavioral loci identified in previous studies. It also demonstrates that inbreeding coefficients of dogs in CB facilities are typically lower than those in dogs originating from other breeding sources. SF and NSF were more heritable than SR. Risk allele and weighted risk scores suggest that fearful behaviors could be subjected to genetic improvement. Full article
(This article belongs to the Section Animal Genetics and Genomics)
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35 pages, 1134 KB  
Article
Identifying the Characteristics of Sustainable Design System: A Survey Study
by Hossein Basereh Taramsari, Steven Hoffenson, Ashley Lytle and Roshanak Nilchiani
Systems 2024, 12(12), 556; https://doi.org/10.3390/systems12120556 - 12 Dec 2024
Cited by 2 | Viewed by 2906
Abstract
To achieve triple bottom line sustainability, a system requires a balance of its social, economic, and environmental axioms. This multi-dimensional system has multiple stakeholders with different objectives acting within the system, leading to an increased level of complexity. Product design is an area [...] Read more.
To achieve triple bottom line sustainability, a system requires a balance of its social, economic, and environmental axioms. This multi-dimensional system has multiple stakeholders with different objectives acting within the system, leading to an increased level of complexity. Product design is an area with significant potential to achieve sustainable development, which is also influenced by policies. Product designers/managers and policymakers have been identified as critical stakeholders within this complex system, and their decisions directly affect the transition toward sustainable product design. However, these stakeholders have different perspectives on sustainability, and there is a lack of understanding of the main characteristics of a sustainable design system and its requirements. This research aims to find a detailed and unified understanding of these stakeholder’s perspectives, practices, and requirements. An online survey investigated the views of engineers/managers and policymakers in the United States to find their definitions of sustainability, their assessment methods, drivers, and barriers of sustainability. Finally, the participants were asked to identify their requirements for a sustainable design tool that can assist them effectively in designing a sustainable product. Considering the exploratory nature of this study, a targeted sample of 50 participants was selected to capture in-depth, qualitative insights, enabling a nuanced understanding of this complex system. The open-ended questions were designed to obtain detailed responses, which were analyzed qualitatively to develop a comprehensive view of the current state and future requirements for sustainable design tools. This targeted approach allowed the study to probe deeply into each stakeholder’s frame of reference, facilitating the identification of critical factors for a successful transition to sustainable design in both industry and policy. The results identified the critical factors that contribute to a successful transition toward sustainable product design in industry and policies while the requirements found in this study provided a road map to meet the diverse needs of these stakeholders. Full article
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13 pages, 813 KB  
Article
Lessons from Team Entrepreneurship Research for General Entrepreneurship Theory
by Matthias P. Hühn and Zachary G. Davis
Adm. Sci. 2024, 14(11), 287; https://doi.org/10.3390/admsci14110287 - 5 Nov 2024
Cited by 2 | Viewed by 2266
Abstract
This paper suggests that the theory of entrepreneurship needs to be amended. This paper first shows how the phenomenon of entrepreneurial teams has become established in practice and in the literature. Then the axioms of entrepreneurship theory are discussed. This paper (with a [...] Read more.
This paper suggests that the theory of entrepreneurship needs to be amended. This paper first shows how the phenomenon of entrepreneurial teams has become established in practice and in the literature. Then the axioms of entrepreneurship theory are discussed. This paper (with a literature review and GEM data) argues that there is an inconsistency within entrepreneurship theory: in order not to have to change the axioms of entrepreneurship theory, entrepreneurial teams were assumed to consist of individual entrepreneurs. This paper explains how that impedes advances in theory development and suggests a new taxonomy of entrepreneurs: the individual entrepreneur, the individual entrepreneur in a team, and a socially minded true team entrepreneur. Full article
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19 pages, 432 KB  
Article
The Logic of Homophily Dynamics in Heterogeneous Networks: Axiomatization, Model Checking and Validity Checking
by Xiling Luo
Mathematics 2023, 11(16), 3484; https://doi.org/10.3390/math11163484 - 11 Aug 2023
Cited by 2 | Viewed by 1773
Abstract
Social networks have received considerable attention from the modal logic community. In this article, we study and characterize one of the most important principles in the field of social networks. Homophily, which means similarity breeds association, reveals the nature of social organization. In [...] Read more.
Social networks have received considerable attention from the modal logic community. In this article, we study and characterize one of the most important principles in the field of social networks. Homophily, which means similarity breeds association, reveals the nature of social organization. In order to be able to express similarity and association together, we generalize the basic network and then define the heterogeneous network. The heterogeneous network is also defined to provide a good foundation for the use of logical approaches. The Logic of Homophily LHG,M that we propose in this article is based on Computation Tree Logic and Formal Concept Analysis. LHG,M describes the homophily dynamics of the heterogeneous networks at a specified similarity coefficient. Furthermore, we not only axiomatize the LHG,M and prove that the axiom system LHG,Mn is sound and complete, but we also prove that the model checking and the validity checking for LHG,M are both PSPACE-complete. Full article
(This article belongs to the Special Issue Mathematical Logic, Algorithms and Applications)
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20 pages, 3898 KB  
Article
Social Metabolism in Buruan SAE: Individual Rift Perspective on Urban Farming Model for Food Independence in Bandung, Indonesia
by Dwi Purnomo, Gregorio Laulasta Sitepu, Yoga Restu Nugraha and Muhammad Bayu Permana Rosiyan
Sustainability 2023, 15(13), 10273; https://doi.org/10.3390/su151310273 - 28 Jun 2023
Cited by 9 | Viewed by 3613
Abstract
This study focused on one of the formulas for assessing social metabolism, specifically derived from individual variables. The formula was utilized as a framework for analyzing agricultural activities and combatting food vulnerability in urban communities. Bandung, the capital city of West Java in [...] Read more.
This study focused on one of the formulas for assessing social metabolism, specifically derived from individual variables. The formula was utilized as a framework for analyzing agricultural activities and combatting food vulnerability in urban communities. Bandung, the capital city of West Java in Indonesia, has implemented an urban agricultural program called Buruan SAE, using a policy formulation oriented towards food self-sufficiency for low-income citizens. This program utilized a policy formulation that involved using empty residential land owned by low-income citizens, distributing food to surrounding residents indiscriminately, and working towards anticipating nutritional vulnerability (stunting). However, the implementation had the opposite effect and pushed urban agriculture into becoming stagnant and undeveloped. This study aims to use individual rift theory as the analytic axiom to discuss the stagnation in the implementation of policy. The analysis was performed using a social monitoring method to form policy instruments that analyze Buruan SAE’s stagnation in Bandung City. Full article
(This article belongs to the Special Issue Advances in Urban Green Development and Resilient Cities)
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15 pages, 954 KB  
Article
Meaning in Life, Social Axioms, and Emotional Outcomes during the First Outbreak of COVID-19 in Hong Kong
by Rong-Wei Sun, Esther Yuet Ying Lau, Sing-Hang Cheung and Chi-Keung Chan
Int. J. Environ. Res. Public Health 2023, 20(13), 6224; https://doi.org/10.3390/ijerph20136224 - 25 Jun 2023
Cited by 4 | Viewed by 2824
Abstract
Social unrest, coupled with the outbreak of COVID-19, was a double-hit for Hong Kong in early 2020. Those stressful societal situations not only trigger negative emotions, such as anxiety and/or depression, but also consolidate a person’s belief towards oneself (i.e., meaning in life) [...] Read more.
Social unrest, coupled with the outbreak of COVID-19, was a double-hit for Hong Kong in early 2020. Those stressful societal situations not only trigger negative emotions, such as anxiety and/or depression, but also consolidate a person’s belief towards oneself (i.e., meaning in life) and society (i.e., social axioms). The study included 2031 participants from the Formation and Transformation of Beliefs in Chinese (FTBC) project dataset. The data were collected in Hong Kong from February 2020 to March 2020 (double-hit). Path analysis and multiple regression were used to examine the mediating and moderating effects of the presence subscale (P) of the Meaning in Life Questionnaire (MLQ) on the relations between social axioms and negative emotions. Results showed that low MLQ-P mediated the associations between cynicism and negative emotions and between low religiosity and negative emotions and moderated the relation between social cynicism and emotional outcomes. Exploratory analyses showed that MLQ-Search (S) mediated the relations between reward for application and negative emotions, between social complexity and negative emotions, and between fate control and negative emotions, and moderated the relation between religiosity and stress. As far as we know, this study reported the first evidence of the role of meaning in life in explaining and modifying the associations between social axioms and mood states. The presence of and search for meaning in life seem to work differently with respect to the relations between social axioms and negative emotions, with important implications for understanding the dynamics of social and personal beliefs in affecting mental health in times of large-scale public crisis. Full article
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11 pages, 270 KB  
Review
Logic, Game Theory, and Social Choice: What Do They Have in Common?
by Harrie de Swart
Axioms 2022, 11(10), 518; https://doi.org/10.3390/axioms11100518 - 30 Sep 2022
Viewed by 2387
Abstract
The answer to the question above is that in all these domains axiomatic characterizations are given of, respectively, mathematical reasoning, certain notions from game theory, and certain social choice rules. The meaning of the completeness theorem in logic is that mathematical reasoning can [...] Read more.
The answer to the question above is that in all these domains axiomatic characterizations are given of, respectively, mathematical reasoning, certain notions from game theory, and certain social choice rules. The meaning of the completeness theorem in logic is that mathematical reasoning can be characterized by a handful of certain (logical) axioms and rules. If we apply mathematical reasoning to elementary arithmetic, i.e., the addition and multiplication of natural numbers, it turns out that almost all true arithmetical statements, for instance, xy[x+y=y+x], can be logically deduced from the axioms of Peano. However, in 1931 Kurt Gődel showed that the axioms of Peano do not (fully) characterize the addition and multiplication of the natural numbers, more precisely, that there are certain special self-referential arithmetical sentences that, although true, cannot be deduced from Peano’s axioms. There are axiomatic characterizations of several social choice and ranking rules that say that a given rule is the only one satisfying a particular set of axioms. Arrow’s impossibility theorem in social choice theory tells us that a certain set of, at first sight, quite reasonable axioms for a social ranking rule turns out to be inconsistent. Consequently, a social ranking rule that satisfies the axioms in question cannot exist. Finally, many notions from game theory, such as the Shapley–Shubik and the Banzhaf index, may also be characterized by a set of axioms. Full article
(This article belongs to the Special Issue Algebra, Logic and Applications)
20 pages, 1108 KB  
Article
The Topology of Quantum Theory and Social Choice
by Graciela Chichilnisky
Quantum Rep. 2022, 4(2), 201-220; https://doi.org/10.3390/quantum4020014 - 16 Jun 2022
Cited by 3 | Viewed by 5009
Abstract
Based on the axioms of quantum theory, we identify a class of topological singularities that encode a fundamental difference between classic and quantum probability, and explain quantum theory’s puzzles and phenomena in simple mathematical terms so they are no longer ‘quantum paradoxes’. The [...] Read more.
Based on the axioms of quantum theory, we identify a class of topological singularities that encode a fundamental difference between classic and quantum probability, and explain quantum theory’s puzzles and phenomena in simple mathematical terms so they are no longer ‘quantum paradoxes’. The singularities provide also new experimental insights and predictions that are presented in this article and establish a surprising new connection between the physical and social sciences. The key is the topology of spaces of quantum events and of the frameworks postulated by these axioms. These are quite different from their counterparts in classic probability and explain mathematically the interference between quantum experiments and the existence of several frameworks or ‘violation of unicity’ that characterizes quantum physics. They also explain entanglement, the Heisenberg uncertainty principle, order dependence of observations, the conjunction fallacy and geometric phenomena such as Pancharatnam–Berry phases. Somewhat surprisingly, we find that the same topological singularities explain the impossibility of selecting a social preference among different individual preferences: which is Arrow’s social choice paradox: the foundations of social choice and of quantum theory are therefore mathematically equivalent. We identify necessary and sufficient conditions on how to restrict experiments to avoid these singularities and recover unicity, avoiding possible interference between experiments and also quantum paradoxes; the same topological restriction is shown to provide a resolution to the social choice impossibility theorem of Chichilnisky. Full article
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18 pages, 1935 KB  
Article
Sustainable Manufacture of Bearing Bushing Parts
by Adelina Hrițuc, Laurențiu Slătineanu, Oana Dodun, Gheorghe Nagîț, Margareta Coteață, Marius Andrei Boca and Vasile Ermolai
Sustainability 2021, 13(19), 10777; https://doi.org/10.3390/su131910777 - 28 Sep 2021
Cited by 1 | Viewed by 2855
Abstract
Bearing bushing parts are used to support other rotating moving parts. When these bearing bushings are made of bronze, their inner cylindrical surfaces can be finished by turning. The problem addressed in this paper was that of identifying an alternative for finishing by [...] Read more.
Bearing bushing parts are used to support other rotating moving parts. When these bearing bushings are made of bronze, their inner cylindrical surfaces can be finished by turning. The problem addressed in this paper was that of identifying an alternative for finishing by turning the inner cylindrical surfaces of bearing bushing parts by taking into account the specific sustainability requirements. Three alternatives for finishing turning the inner cylindrical surfaces of bearing bushings have been identified. The selection of the alternative that ensures the highest probability that the diameter of the machined surface is included in the prescribed tolerance field was made first by using the second axiom of the axiomatic design. It was thus observed that for the initial turning alternative, the probability of success assessed by using a normal distribution is 77.2%, while for the third alternative, which will correspond to a Maxwell–Boltzmann distribution, the probability of success is 92.1%. A more detailed analysis was performed using the analytic hierarchy process method, taking into account distinct criteria for assessing sustainability. The criteria for evaluating the sustainability of a cutting processing process were identified using principles from the systemic analysis. The application of the analytic hierarchy process method facilitated the approach of some detailed aspects of the sustainability of the alternatives proposed for finishing by turning the inner cylindrical surfaces of bearing bushings, including by taking into account economic, social, and environmental protection requirements. Full article
(This article belongs to the Special Issue Design for Sustainability—Axiomatic Design Science and Applications)
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