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| Content Provider | Springer Nature Link |
|---|---|
| Author | Ng, C. T. Duncan Luce, R. Marley, A. A. J. |
| Copyright Year | 2007 |
| Abstract | The present theory leads to a set of subjective weights such that the utility of an uncertain alternative (gamble) is partitioned into three terms involving those weights—a conventional subjectively weighted utility function over pure consequences, a subjectively weighted value function over events, and a subjectively weighted function of the subjective weights. Under several assumptions, this becomes one of several standard utility representations, plus a weighted value function over events, plus an entropy term of the weights. In the finitely additive case, the latter is the Shannon entropy; in all other cases it is entropy of degree not 1. The primary mathematical tool is the theory of inset entropy. |
| Starting Page | 23 |
| Ending Page | 63 |
| Page Count | 41 |
| File Format | |
| ISSN | 00405833 |
| Journal | Theory and Decision |
| Volume Number | 67 |
| Issue Number | 1 |
| e-ISSN | 15737187 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2007-10-18 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | duplex decomposition functional equation Shannon entropy gamble decomposition inset entropy segregation utility of gambling valued events Operations Research/Decision Theory Methodology of the Social Sciences Game Theory, Economics, Social and Behav. Sciences Game Theory/Mathematical Methods Economic Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Arts and Humanities Economics, Econometrics and Finance Developmental and Educational Psychology Social Sciences Decision Sciences Applied Psychology Computer Science Applications |
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