格序决策行为公理体系 及其效用函数存在惟一性定理
Axioms for Lattice Ordered Decision-Making Behavior and Relative Utility Theorem
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摘要: 根据偏好关系所具有的格序特征,将Von Neumann-Morgenstern理性行为公理体系中的连通性(完全性) 公理弱化为格连通性公理,并相应地弱化连续性公理,得到了一集能更为合理地描述具有“有限理性”的决策行 为的格序决策行为公理体系,构造并证明了在格序决策行为公理体系之下,(线性)效用函数的存在惟一性定理.Abstract: In this paper, the connectivity (completeness) axiom and the continuity axiom inVonNeumann- Morgenstern Rational behavior axioms are weakened. Then, a set of axiom for lattice ordered decision- making behavior, which can describe the decision-making behaviormore rationally, is constructed. At last, the relative unique existence theorem for (linear) utility function is obtained.
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Key words:
- axioms /
- lattices /
- lattice connectivity /
- utility function
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