Axiomatic foundations for a class of generalized expected utility: Algebraic expected utility

Proceedings of the 22nd Conference on Uncertainty in Artificial Intelligence, UAI 2006

Volumn , Issue , 2006, Pages 520-527

  Weng, Paul ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC APPROACHES; AXIOMATIC FOUNDATION; DECISION CRITERIONS; EXPECTED UTILITY; MODELING DECISIONS; NEUMANN-MORGENSTERN; POSSIBILISTIC; SEMI-RING; UNCERTAINTY REPRESENTATION;

ARTIFICIAL INTELLIGENCE;

ALGEBRA;

EID: 80053208635     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (38)

1. F. Anscombe and R. Aumann (1963). A definition of subjective probability. The annals of mathematical statistics 34:199-205.
2. S. Bistarelli, U. Montanari, F. Rossi, T. Schiex, G. Verfaillie, and H. Fargier (1999). Semiring-based CSPs and valued CSPs: Frameworks, properties and comparison. Constraints 4:199-240. (Pubitemid 129579725)
3. L. Blume, A. Brandenburger, and E. Dekel (1991). Lexicographic probabilities and choice uncertainty. Econometrica 59(1):61-79.
4. R. Brafman and M. Tennenholtz (1997). On the axiomatization of qualitative decision criteria. In AAAI. vol. 14, 76-81.
5. F. Chu and J. Halpern (2003a). Great expectations. part i: On the customizability of generalized expected utility. In IJCAI. vol. 18, 291-296.
6. F. Chu and J. Halpern (2003b). Great expectations. part ii: Generalized expected utility as a universal decision rule. In IJCAI. vol. 18, 297-302.
7. A. Darwiche and M. Ginsberg (1992). A symbolic generalization of probability theory. In AAAI. vol. 10, 622-627.
8. D. Dubois, J. Fodor, H. Prade, and M. Roubens (1996). Aggregation of decomposable measures with application to utility theory. Theory and Decision 41:59-95. (Pubitemid 126717910)
9. D. Dubois, L. Godo, H. Prade, and A. Zapico (2000a). Advances in qualitative decision theory: refined rankings. Lecture notes in AI 1952(11):427-436.
10. D. Dubois, E. Pap, and H. Prade (2000b). Hybrid probabilistic- possibilistic measures and applications to utility functions. In IPMU.
11. D. Dubois, E. Pap, and H. Prade (2000c). Hybrid probabilistic- possibilistic mixtures and utility functions. In Preferences and decisions under incomplete knowledge. 51-73.
12. D. Dubois and H. Prade (1980). Fuzzy sets and systems: theory and applications. Academy press.
13. D. Dubois and H. Prade (1990). An introduction to possibilistic and fuzzy logics. In Readings in Uncertain Reasoning, Morgan Kaufmann. 742-761.
14. D. Dubois and H. Prade (1995). Possibility theory as a basis of qualitative decision theory. In IJCAI. vol. 14, 1925-1930.
15. D. Ellsberg (1961). Risk, ambiguity, and the savage axioms. Quarterly Journal of Economics 75:643-669.
16. P. Fishburn (1970). Utility theory for decision making. Wiley.
17. N. Friedman and J. Halpern (1995). Plausibility measures: A user's guide. In UAI. vol. 11, 175-184.
18. P. Giang and S. Sandilya (2004). Decision making for symbolic probability. In UAI. vol. 20, 185-192.
19. P. Giang and P. Shenoy (2000). A qualitative linear utility theory for spohn's theory of epistemic beliefs. In UAI. vol. 16, 220-229.
20. P. Giang and P. Shenoy (2001). A comparison of axiomatic approaches to qualitative decision making using possibility theory. In UAI. vol. 17, 162-170.
21. P. Giang and P. Shenoy (2002). Statistical decisions using likelihood information without prior probabilities. In UAI. vol. 18, 170-178.
22. P. Giang and P. Shenoy (2003). Decision making with partially consonant belief functions. In UAI. vol. 19, 272-280.
23. M. Goldszmidt and J. Pearl (1992). Rank-based systems: a simple approach to belief revision, belief update and reasoning about evidence and actions. In KR. vol. 3, 661-672.
24. M. Gondran, M. Minoux, and S. Vajda (1984). Graphs and algorithms. John Wiley & Sons, Inc.
25. J. Jaffray and P. Wakker (1993). Decision making with belief functions: Compatibility and incompatibility with the sure-thing principle. J. of Risk and Uncertainty 7(3):255-71.
26. E. Klement, R. Mesiar, and E. Pap (2000). Triangular norms.
27. R. Luce and H. Raiffa (1957). Games and Decisions. J. Wiley, New York.
28. M. Machina (1988). Expected utility hypothesis. In J. Eatwell, M. Milgate, and P. Newman (eds.), The New Palgrave: A Dictionary of Economics, Macmillan. 232-239.
29. J. von Neumann and O. Morgenstern (1944). Theory of games and economic behavior. Princeton university press.
30. P. Perny, O. Spanjaard, and P. Weng (2005). Algebraic markov decision processes. In IJCAI. vol. 19, 1372-1377.
31. L. Savage (1954). The foundations of statistics. J. Wiley and sons.
32. D. Schmeidler (1989). Subjective probability and expected utility without additivity. Econometrica 57:571-587.
33. G. Shafer (1976). A mathematical theory of evidence. Princeton university press.
34. W. Spohn (1988). A general non-probabilistic theory of inductive reasoning. In UAI. vol. 4.
35. S. Weber (1984). ⊥-decomposable measures and integrals for achimedian t-conorms ⊥. J. Math. Anal. Appl. 101:114-138.
36. P. Weng (2005). Qualitative decision making under possibilistic uncertainty: Toward more discriminating criteria. In UAI. vol. 21.
37. E. Weydert (1994). General belief measures. In UAI. vol. 10, 575-582.
38. N. Wilson (1995). An order of magnitude calculus. In UAI. vol. 11, 548-555.