The Role of indifference Transitivity in Social Choice Theory
Project/Area Number |
25590049
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Research Category |
Grant-in-Aid for Challenging Exploratory Research
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Allocation Type | Multi-year Fund |
Research Field |
Economic theory
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Research Institution | Kyoto Sangyo University |
Principal Investigator |
KAMO Tomoyuki 京都産業大学, 経済学部, 教授 (20340432)
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Co-Investigator(Kenkyū-buntansha) |
NAGAHISA Ryo-ichi 関西大学, 経済学部, 教授 (30189154)
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Project Period (FY) |
2013-04-01 – 2015-03-31
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Project Status |
Completed (Fiscal Year 2014)
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Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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Keywords | 社会選択理論 / 厚生経済学 / 無差別推移性 / 非循環性 / 社会選択論 / ミクロ経済学 |
Outline of Final Research Achievements |
We studied the role of indifference transitivity in social choice theory.At first, we investigated an acyclic and indifference-transitive (AC-IT) rational choice function, a choice function that is rationalizable with a complete, acyclic and indifference-transitive relation. Introducing "Recursivity under union" as a new axiom, we gave a complete characterization of an AC-IT rational choice function.We also identified the relationship between AC-IT rational choice functions and two cooperative game solutions (i.e., strict core and von Neuman-Morgenstern's stable set). Secondly, we investigated Arrovian preference aggregation rules when individual preferences are nontransitive due to the existence of psychological thresholds.We showed that the Arrovian impossibilities, i.e., dictator, oligarchy, and vetoer theorems, still survive in this setting.
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Report
(3 results)
Research Products
(4 results)