Coherent choice functions under uncertainty

ISIPTA 2007 - Proceedings of the 5th International Symposium on Imprecise Probability: Theories and Applications

Volumn , Issue , 2007, Pages 385-394

  Seidenfeld, Teddy ^a   Schervish, Mark J ^a   Kadane, Joseph B ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

maximin; Choice functions; Coherence; Maximality; State independent utility; Uncertainty

Indexed keywords

CHOICE FUNCTION; MAXIMALITY; MAXIMIN; STATE-INDEPENDENT UTILITY; UNCERTAINTY;

COHERENT LIGHT;

PROBABILITY;

EID: 84883218369     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. Aizerman, M.A. (1985) "New Problems in General Choice Theory, " Soc Choice Welfare 2: 235-282.
2. Anscombe, F.J. and Aumann, R.J. (1963) "A definition of subjective probability, " Ann. Math. Stat. 34: 199-205.
3. Cozman, F.G. and Walley, P. (2005) "Graphoid properties of epistemic irrelevance and independence, " Ann. Math. and A.I. 45: 173-195.
4. Gilboa, I. and Schmeidler, D. (1989) "Maxmin expected utility with non-unique prior, " J. Math.Econ. 18: 141-153.
5. Kadane, J.B., Schervish, M.J., and Seidenfeld, T. (2004) "A Rubinesque theory of decision, " IMS Lecture Notes Monograph 45: 1-11.
6. Kindler, J. (1983) "A General Solution Concept for Two Person, Zero Sum Games, " J. Optimization Theory and Applications 40: 105-119.
7. Levi, I. (1974) "On indeterminate probabilities" J.Phil. 71: 391-418.
8. Pearce, D. (1984) "Rationalizable Strategic Behavior and the Problem of Perfection, " Econometrica 52: 1029-1050.
9. Savage, L.J. (1954) The Foundations of Statistics. Wiley, New York.
10. Schervish, M.J., Seidenfeld, T, Kadane, J.B., and Levi, I. (2003) "Extensions of expected utility theory and some limitations of pairwise comparisons" In Proceedings of the Third International Symposium on Imprecise Probabilities and Their Applications (J-M Bernard, T.Seidenfeld, and M.Zaffalon, eds.) 496-510. Carleton Scientific.
11. Seidenfeld, T., Schervish, M.J., and Kadane, J.B. (1995) "A representation of partially ordered preferences, " Ann Stat. 23: 2168-2217.
12. Sen, A. (1977) "Social choice theory: A reexamination, " Econometrica 45: 53-89.
13. Wald, A. (1950) Statistical Decision Functions. John Wiley, New York.
14. Walley, P. (1990) Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London.