Functional equations arising in a theory of rank dependence and homogeneous joint receipts |
| |
Authors: | Já nos Aczé l,Che Tat Ng |
| |
Affiliation: | a Department of Pure Mathematics, University of Waterloo, Ont., Canada, N2L 3G1 b Departments of Cognitive Science and Economics, University of California, Irvine, 2133 Social Science Plaza, Irvine, CA 92697-5100, USA |
| |
Abstract: | This paper focuses on a class of utility representations of uncertain alternatives with two possible consequences (binary gambles) when they are linked via a distributivity property called segregation to an operation of joint receipt, which may be non-commutative. The assumption that the gambling structure and the joint receipt operation both have homogeneous representations that are order preserving leads to a functional equation that has too many solutions to be useful for characterizing a reasonably specific utility representation. A plausible restriction on the form of the utility of gambles leads to the functional equation |
| |
Keywords: | 39B22 91B16 |
本文献已被 ScienceDirect 等数据库收录! |
|