| 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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| 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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