Decision Analysis under States-Additive SSB Preferences
We survey Fishburn's skew-symmetric bilinear (SSB) theory of risky choice under nonlinear and potentially nontransitive preferences and apply the states-additive special case in the context of decision analysis, showing that tractable characterizations of optimal choices are obtainable via line...
| Veröffentlicht in: | Operations Research. - Institute for Operations Research and the Management Sciences, 1956. - 35(1987), 5, Seite 722-735 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
1987
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| Zugriff auf das übergeordnete Werk: | Operations Research |
| Schlagworte: | Behavioral sciences Mathematics Applied sciences |
| Zusammenfassung: | We survey Fishburn's skew-symmetric bilinear (SSB) theory of risky choice under nonlinear and potentially nontransitive preferences and apply the states-additive special case in the context of decision analysis, showing that tractable characterizations of optimal choices are obtainable via linear programming once the decision has been expressed in normal (i.e., tabular) form. If preferences are transitive, they are also linear and representable by von Neumann-Morgenstern utility, in which case optimal choices may be obtained by the familiar recursion analysis of the extensive (i.e., tree) form. |
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| ISSN: | 15265463 |