论文信息 - A note on linear utility

A note on linear utility

SummaryWe show that any complete, lower-semicontinuous, and translation-invariant preorder defined on a topological vector space admits a linear and continuous utility representation.

Juan Carlos Candeal-Haro | Esteban Induráin-Eraso

[1] J. Marschak. Rational Behavior, Uncertain Prospects, and Measurable Utility (1950) , 1950 .

[2] Walter Trockel,et al. An alternative proof for the linear utility representation theorem , 1992 .

[3] P. Fishburn. Transitive measurable utility , 1983 .

[4] Peter C. Fishburn,et al. Utility theory for decision making , 1970 .

[5] Howard Raiffa,et al. Games And Decisions , 1958 .

[6] Utility functions on ordered convex sets , 1983 .

[7] G. Debreu. Mathematical Economics: Continuity properties of Paretian utility , 1964 .

[8] Â. Einy. On preference relations which satisfy weak independence property , 1989 .

[9] A. Mas-Colell. The Theory Of General Economic Equilibrium , 1985 .

[10] J. Milnor,et al. AN AXIOMATIC APPROACH TO MEASURABLE UTILITY , 1953 .

[11] J. Neumann,et al. Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[12] Peter C. Fishburn,et al. Nonlinear preference and utility theory , 1988 .

[13] Niels-Erik Jensen. An Introduction to Bernoullian Utility Theory: I. Utility Functions , 1967 .

[14] R. Aumann. UTILITY THEORY WITHOUT THE COMPLETENESS AXIOM , 1962 .