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New directions in ordinal evaluation: Sugeno integrals and beyond
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In: New Perspectives in Multiple Criteria Decision Making ; https://hal.inria.fr/hal-01941776 ; M. Doumpos; J.R. Figueira; S. Greco; C. Zopounidis. New Perspectives in Multiple Criteria Decision Making, Springer, Cham, 2019, 978-3-030-11481-7 (2019)
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Anonymous social influence
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In: ISSN: 0899-8256 ; EISSN: 1090-2473 ; Games and Economic Behavior ; https://halshs.archives-ouvertes.fr/halshs-00913235 ; Games and Economic Behavior, Elsevier, 2013, pp.621-635 (2013)
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Abstract:
International audience ; We study a stochastic model of influence where agents have "yes" or "no" inclinations on some issue, and opinions may change due to mutual influence among the agents. Each agent independently aggregates the opinions of the other agents and possibly herself. We study influence processes modeled by ordered weighted averaging operators, which are anonymous: they only depend on how many agents share an opinion. For instance, this allows to study situations where the influence process is based on majorities, which are not covered by the classical approach of weighted averaging aggregation. We find a necessary and sufficient condition for convergence to consensus and characterize outcomes where the society ends up polarized. Our results can also be used to understand more general situations, where ordered weighted averages are only used to some extent. Furthermore, we apply our results to fuzzy linguistic quantifiers, i.e., expressions like "most" or "at least a few".
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Keyword:
[SHS.ECO]Humanities and Social Sciences/Economics and Finance; and Uncertainty/D.D8.D83 - Search • Learning • Information and Knowledge • Communication • Belief • Unawareness; and Uncertainty/D.D8.D85 - Network Formation and Analysis: Theory; and Voting Behavior; Anonymity; Consensus; Convergence; Elections; Fuzzy linguistic quantifier; Influence; JEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C65 - Miscellaneous Mathematical Tools; JEL: C - Mathematical and Quantitative Methods/C.C7 - Game Theory and Bargaining Theory/C.C7.C73 - Stochastic and Dynamic Games • Evolutionary Games • Repeated Games; JEL: D - Microeconomics/D.D7 - Analysis of Collective Decision-Making/D.D7.D72 - Political Processes: Rent-Seeking; JEL: D - Microeconomics/D.D8 - Information; Knowledge; Legislatures; Lobbying; Ordered weighted averaging operator
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URL: https://halshs.archives-ouvertes.fr/halshs-00913235/file/anonymous_social_influence_July2013.pdf
https://halshs.archives-ouvertes.fr/halshs-00913235/document
https://halshs.archives-ouvertes.fr/halshs-00913235
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Ordered Weighted Averaging in Social Networks
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In: https://halshs.archives-ouvertes.fr/halshs-00746988 ; 2012 (2012)
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