Continuous extensions of an order on a set to the power set

Journal of Economic Theory

Volumn 68, Issue 2, 1996, Pages 456-479

  Nehring, Klaus ^a   Puppe, Clemens ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030080025     PISSN: 00220531     EISSN: None     Source Type: Journal    
DOI: 10.1006/jeth.1996.0026     Document Type: Article

References (24)

1. 1. K. J. ARROW AND L. HURWICZ, An optimality criterion for decisionmaking under ignorance, in "Uncertainty and Expectations in Economics" (C. F. Carter and J. L. Ford, Eds.), Kelly, New Jersey, 1972.
2. 2. S. BARBERÀ, C. R. BARRETT, AND P. K. PATTANAIK, On some axioms for ranking sets of alternatives, J. Econ. Theory 33 (1984), 301-308.
3. 3. S. BARBERÀ AND M. JACKSON, Maximin, leximin and the protective criterion, J. Econ. Theory 46 (1988), 34-44.
4. 4. S. BARBERÀ AND P K. PATTANAIK, Extending an order on a set to the power set: Some remarks on Kannai and Peleg's approach, J. Econ. Theory 32 (1984), 185-191.
5. 5. W. BOSSERT, On the extension of preferences over a set to the power set: An axiomatic characterization of a quasi-ordering, J. Econ. Theory 49 (1989), 84-92.
6. 6. W. BOSSERT, P. K. PATTANAIK, AND Y. XU, Ranking opportunity sets: An axiomatic approach, J. Econ. Theory 63 (1994), 326-345.
7. 7. G. DEBREU, Representation of a preference ordering by a numerical function, in "Decision Processes" (R. M. Thrall, C. H. Coombs, and R. L. Davis, Eds.), Wiley, New York, 1954.
8. 8. P. C. FISHBURN, Comment on the Kannai-Peleg impossibility theorem for extending orders, J. Econ. Theory 32 (1984), 176-179.
9. 9. P. GÄRDENFORS, Manipulability of social choice functions, J. Econ. Theory 13 (1976), 217-218.
10. 10. R. HEINER AND D. PACKARD, A uniqueness result for extending orders; with application to collective choice as inconsistency resolution, J. Econ. Theory 32 (1984), 180-184.
11. 11. R. HOLZMAN, An extension of Fishburn's theorem on extending orders, J. Econ. Theory 32 (1984), 192-196.
12. 12. Y. KANNAI AND B. PELEG, A note on the extension of an order on a set to the power set, J. Econ. Theory 32 (1984), 172-175.
13. 13. D. KELSEY, Choice under partial uncertainty, Int. Econ. Rev. 34 (1993), 297-308.
14. 14. E. KLEIN AND A. C. THOMPSON, "Theory of Correspondences," Chap. 1, Wiley, New York, 1984.
15. 15. M. KLEMISCH-AHLERT, Freedom of choice: A comparison of different rankings of opportunity sets, Soc. Choice Welfare 10 (1993), 189-207.
16. 16. D. M. KREPS, A representation theorem for "preference for flexibility," Econometrica 47 (1979), 565-577.
17. 17. R. D. LUCE AND H. RAIFFA, "Games and Decisions," Chap. 13, Wiley, New York, 1957.
18. 18. S. I. NITZAN AND P. K. PATTANAIK, Median-based extensions of an ordering over a set to the power set: An axiomatic characterization, J. Econ. Theory 34 (1984), 252-261.
19. 19. P. K. PATTANAIK AND B. PELEG, An axiomatic characterization of the lexicographic maximin extension of an ordering over a set to the power set, Soc. Choice Welfare 1 (1984), 113-122.
20. 20. P. K. PATTANAIK AND Y. XU, On ranking opportunity sets in terms of freedom of choice, Rech. Econ. Louvain 56 (1990), 383-390.
21. 21. C. PUPPE, Freedom of choice and rational decisions, Soc. Choice Welfare 12 (1995), 137-153.
22. 22. A. K. SEN, Welfare, preference and freedom, J. Econometrics 50 (1991), 15-29.
23. 23. A. K. SEN, Markets and freedoms: Achievements and limitations of the market mechanism in promoting individual freedoms, Oxford Econ. Papers 45 (1993), 519-541.
24. 24. P. SUPPES, Maximizing freedom of decision: An axiomatic analysis, in "Arrow and the Foundations of Economic Policy" (G. Feiwel, Ed.), New York Univ. Press, New York, 1987.