Functional Analytic Tools for Expected Utility Theory

作者: Kim C. Border

DOI: 10.1007/978-3-642-58199-1_4

关键词:

摘要: Depending on the school of thought, expected utility theory states that choices among lotteries either should be made or actually by maximizing value a real valued function outcomes—a function. This article provides look at some functional analytic results used in theory. I concentrate applications to stochastic dominance relations and revealed preference approach utility. Few these are deep, given underlying tools, but many them not widely known, their combination is novel. In particular, Border [4] extended higher degree relations.

参考文章(39)
S.L. Brumelle, R.G. Vickson, A Unified Approach to Stochastic Dominance Stochastic Optimization Models in Finance. pp. 101- 113 ,(1975) , 10.1016/B978-0-12-780850-5.50016-2
David Vernon Widder, The Laplace Transform ,(1941)
C. Geiss, J. Tressler, C. Menezes, Increasing Downside Risk The American Economic Review. ,vol. 70, pp. 921- 932 ,(2016)
G. A. Whitmore, Third-Degree Stochastic Dominance The American Economic Review. ,vol. 60, pp. 457- 459 ,(2016)
M. Chapman Findlay, G. A. Whitmore, Stochastic dominance : an approach to decision-making under risk Lexington Books. ,(1978)
William R Russell, Josef Hadar, Rules for Ordering Uncertain Prospects The American Economic Review. ,vol. 59, pp. 25- 34 ,(1969)
J. R. Retherford, Book Review: Vector measures Bulletin of the American Mathematical Society. ,vol. 84, pp. 681- 686 ,(1978) , 10.1090/S0002-9904-1978-14524-8
Anthony B Atkinson, On the Measurement of Inequality Journal of Economic Theory. ,vol. 2, pp. 244- 263 ,(1970) , 10.1016/0022-0531(70)90039-6
Josef Hadar, William R Russell, Stochastic dominance and diversification Journal of Economic Theory. ,vol. 3, pp. 288- 305 ,(1971) , 10.1016/0022-0531(71)90024-X
Ian Jewitt, A note on comparative statics and stochastic dominance Journal of Mathematical Economics. ,vol. 15, pp. 249- 254 ,(1986) , 10.1016/0304-4068(86)90013-3