Foundations of Multiattribute Utility

ISBN-13: 9781107150904 / Angielski / Twarda / 2018 / 480 str.

Ali E. Abbas

Opis

Learn state-of-the-art methods for making logically sound decisions when faced with multiple conflicting objectives and uncertainty.

Recenzje

'This book is a long overdue. It is encyclopedic in nature, chronicling many recent developments in utility theory, while summarizing the classical results in the field. The book is a perfect companion to Keeney and Raiffa's (1976) seminal book on multiattribute utility. It should be on the desk of any decision analyst, economist, or statistician who does research in or teaches utility theory.' Kenneth C. Lichtendahl, Jr, University of Virginia

Spis treści

Part I. Foundations of Preference, Value, and Utility: 1. Preference, value, and utility; 2. Foundations of expected utility; 3. Some flawed methods of decision making; Part II. Deterministic Decisions: 4. The order rule: preferences for deterministic consequences; 5. Getting the attributes right; 6. Preference functions for single attributes; 7. Preference functions for multiple attributes; 8. Additive preference functions; 9. Valuing deterministic consequences – value functions; Part III. Decisions with Uncertainty: Multi-attribute Utility Functions Using a Value Measure: 10. Single-attribute utility function; 11. Multi-attribute utility functions using preference and value functions; 12. Utility functions over additive preference or value functions; Part IV. Decisions with Uncertainty: Properties of Single-Attribute Utility Functions: 13. The role of the utility function in valuing uncertain deals; 14. The risk aversion function; 15. Scale transformations applied to lottery outcomes; 16. The invariant transformation of a utility function; 17. Valuing changes in investment opportunities; 18. One-switch utility functions; 19. Utility transversality; 20. Multi-attribute risk aversion; Part V. Decisions with Uncertainty: Multi-attribute Utility Functions without Preference or Value Functions: 21. Attribute dominance utility; 22. The two-attribute utility tree; 23. Independence conditions for two attributes; 24. The multi-attribute utility tree; 25. Independence conditions for three or more attributes; 26. Higher-order independence conditions; 27. One-switch utility independence; Part VI. Utility Copula Formulations: 28. Multi-attribute utility copulas; 29. Archimedean utility copulas; 30. Assessing Archimedean utility copulas; 31. Utility copula functions matching all boundary assessments; 32. Bidirectional one-switch ordinal copulas; 33. Reflections of what we have learned.