Concave utility on finite sets

Journal of Economic Theory

Volumn 115, Issue 2, 2004, Pages 341-357

  Richter, Marcel K ^a   Wong, Kam Chau ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Concave utility; Finite sets; Theorem of the alternative

Indexed keywords

EID: 1942510351     PISSN: 00220531     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0531(03)00167-4     Document Type: Article

References (20)

1. K.J. Arrow, Rational choice functions and orderings, Economica 26 (1959) 121-127.
2. K.J. Arrow, Essays in the Theory of Risk Bearing, Markham, Chicago, 1971.
3. K.J. Arrow, A.C. Enthoven, Quasi-concave programming, Econometrica 29 (4) (1961) 779-800.
4. R.J. Aumann, Values of markets with a continuum of traders, Econometrica 43 (4) (1975) 611-646.
5. B. de Finetti, Sulle stratificazioni convesse, Ann. Mat. 30 (4) (1949) 173-183.
6. G. Debreu, Representation of a preference ordering by a numerical function, in: R.M. Thrall, C.H. Coombs, R.L. Davis (Eds.), Decision Processes, Wiley, New York, 1954, pp. 159-165.
7. W. Fenchel, Convex Cones, Sets, and Functions (From notes by D.W. Blackett of lectures at Princeton University), Princeton University Press, Princeton, NJ, 1953.
8. W. Fenchel, Über konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten, Math. Z. 63 (1956) 496-506.
9. G. Fuhrken, M.K. Richter, Additive utility, Econom. Theory 1 (1991) 83-105.
10. S. Grant, A. Kajii, B. Polak, Temporal resolution of uncertainty and recursive non-expected utility models, Econometrica 68 (2) (2000) 424-434.
11. J.R. Green, J. Laffont, Incentives in Public Decision-Making, Elsevier, North-Holland, New York, 1979.
12. Y. Kannai, Concavifiability and constructions of concave utility functions, J. Math. Econom. 4 (1977) 1-56.
13. Y. Kannai, Non-standard concave utility function, J. Math. Econom. 21 (1992) 51-58.
14. Y. Kannai, Remarks concerning concave utility functions on finite sets, Manuscript, 2002.
15. A. Mas-Colell, M.D. Whinston, J.R. Green, Microeconomic Theory, Oxford University Press, Oxford, 1995.
16. R.L. Matzkin, M.K. Richter, Testing strictly concave rationality, J. Econom. Theory 53 (2) (1991) 287-303.
17. D. McFadden, M.K. Richter, Stochastic rationality and revealed stochastic preference, in: J.S. Chipman, D. McFadden, M.K. Richter (Eds.), Preferences, Uncertainty, and Optimality: Essays in Honor of Leonid Hurwicz, Westview Press, Boulder, 1990 (Chapter 6).
18. M.K. Richter, Rational choice, in: J.S. Chipman, L. Hurwicz, M.K. Richter, H.F. Sonnenschein (Eds.), Preferences, Utility, and Demand, Harcourt Brace Jovanovich, Inc., New York, 1971 (Chapter 2).
19. M.K. Richter, Rational choice and polynomial measurement models, J. Math. Psychol. 12 (1) (1975) 99-113.
20. R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton NJ, 1970.