Decisions without Ordering
| Autor: | Joseph B. Kadane, Teddy Seidenfeld, Mark J. Schervish |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Dutch book
Philosophy of science Axiom independence Computer science Subjective expected utility FOS: Philosophy ethics and religion Mathematics::Logic symbols.namesake Philosophy Order (exchange) symbols Independence (mathematical logic) Upper and lower probabilities Weak ordering Foundations of statistics Null hypothesis Mathematical economics Preference (economics) Axiom Indifference curve Mathematics Statistical hypothesis testing Von Neumann architecture |
| Zdroj: | Acting and Reflecting ISBN: 9789401076173 |
| DOI: | 10.1184/r1/6491339.v1 |
| Popis: | We review the axiomatic foundations of subjective utility theory with a view toward understanding the implications of each axiom. We consider three different approaches, namely, the construction of utilities in the presence of canonical probabilities, the construction of probabilities in the presence of utilities, and the simultaneous construction of both probabilities and utilities. We focus attention on the axioms of independence and weak ordering. The independence axiom is seen to be necessary in order to prevent a form of Dutch Book in sequential problems. |
| Databáze: | OpenAIRE |
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