2013 Fiscal Year Final Research Report
A reconstruction of axiomatic foundations of modern utility theory: toward a construction of unified axiom systems
| Project/Area Number |
23653051
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Economic theory
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Keywords | 効用理論 / 期待効用 / 主観的期待効用 / 非線形期待効用 / 半順序構造 / 単項関係 / 線形不等式系 / ２次不等式系 |
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| Research Abstract |
A model of rational economic agent is constructed by the requirement, described as an axiom system, that his/her preferential judgments, is preferred to, for decision alternatives should be rational. In the literature, there have been proposed various axiom systems because decision alternatives are mathematically described in many different ways according to economic environments. This study proposes a unified description of decision alternatives as abstract mathematical objects and partially succeeds to develop a unified axiom system to cover many of the existing axiom systems.
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