The profile structure for Luce's choice axiom

Journal of Mathematical Psychology

Volumn 49, Issue 3, 2005, Pages 226-253

  Saari, Donald G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17844368114     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmp.2005.03.004     Document Type: Article

References (33)

1. K.J. Arrow Social choice and individual values 2nd ed. 1963 Wiley New York
2. D. Black The theory of committees and elections 1958 Cambridge University Press London
3. H.D. Block & J. Marschak Random orderings and stochastic theories of responses In I. Olkin S. Ghurye W. Hoeffding W. Madow & H. Mann (Eds.) Contributions to probability and statistics 1960 Stanford University Press Stanford 97-132
4. G. Debreu Review of 'Individual choice behavior: A theoretical analysis' American Economic Review 50 1960 186-188
5. Estes, W. K. (1997). Some reflections on the role of the choice model in theories of categorization, identification, and learning. In A. A. J. Marley, Choice, decision, and measurement: Essays in honor of R. Duncan Luce (pp. 321-346). New Jersey, NJ: Erlbaum Assoc.
6. P. Fishburn On choice probabilities derived from ranking probabilities Journal of Mathematical Psychology 29 1994 274-285
7. Fishburn, P. (2002). Stochastic utility. In S. Barbera, J. Hammon, & C. Seidl (Eds.), Handbook of utility (pp. 275-319). Dordrecht/Boston: Kluwer Academic Publishers.
8. M. Golubitsky & V. Guillemin Stable mappings and their singularities 1973 Springer Berlin
9. R.D. Luce Individual choice behavior 1959 Wiley New York
10. R.D. Luce A choice theory analysis of similarity judgments Psychometrika 26 1961 151-163
11. R.D. Luce An observable property equivalent to a choice model for discrimination experiments Psychometrika 27 1962 163-167
12. R.D. Luce The choice axiom after twenty years Journal of Mathematical Psychology 15 1977 215-233
13. Luce, R. D., Bush, R. R., & Galanter, E. (1965). Handbook of mathematical psychology (Vol. III). New York: Wiley.
14. Luce, R. D., & Suppes, P. (1965). Preference, utility and subjective probability. In R. D. Luce, R. R. Bush, & E. Galanter (Eds.), Handbook of mathematical psychology (Vol. 3, pp. 249-410). New York, NY: Wiley.
15. A.A.J. Marley Some probabilistic models of simple choice and ranking Journal of Mathematical Psychology 5 1968 311-332
16. A.A.J. Marley Random utility models with all choice probabilities expressible as 'functions" of the binary choice probabilities Mathematical Social Science 3 1982 39-56
17. Marley, A. A. J. (1997). Choice, decision, and measurement: Essays in honor of R. Duncan Luce. New Jersey, NJ: Erlbaum Assoc.
18. D.G. Saari A dictionary for voting paradoxes Journal of Economic Theory 48 1989 443-475
19. D.G. Saari Basic geometry of voting 1995 Springer New York
20. D.G. Saari Millions of election rankings from a single profile Social Choice & Welfare 9 1992 277-306
21. D.G. Saari Connecting and resolving Arrow's and Sen's theorems Social Choice & Welfare 15 1998 239-261
22. D.G. Saari Explaining all three alternative voting outcomes Journal of Economic Theory 87 1999 313-355
23. D.G. Saari Explaining positional voting paradoxes I: The binary case Economic Theory 15 2000 1-53
24. D.G. Saari Explaining positional voting paradoxes II: The general case Economic Theory 15 2000 54-103
25. D.G. Saari Chaotic elections! A mathematician looks at voting 2001a American Mathematical Society Providence, RI
26. D.G. Saari Decisions and elections: Explaining the unexpected 2001b Cambridge University Press New York
27. D.G. Saari Adopting a plurality vote perspective Mathematics of Operations Research 27 2002 45-64
28. D.G. Saari & K. Sieberg The sum of the parts can violate the whole American Political Science Review 95 2001 415-433
29. D.G. Saari & F. Valgones The geometry of Black's single peakedness condition Journal of Mathematical Economics 32 1999 429-456
30. A. Tversky Elimination by aspects: A theory of choice Psychological Review 79 1972a 281-299
31. A. Tversky Choice by elimination Journal of Mathematical Psychology 9 1972b 341-367
32. J.I. Yellott Jr. The relationship between Luce's Choice Axiom, Thurston's theory of comparative judgement, and the double exponential distribution Journal of Mathematical Psychology 15 1997a 109-144
33. Yellott, J. I., Jr. (1997b). Preference models and irreversibility. In A. A. J. Marley (Ed.), Choice, decision, and measurement: Essays in honor of R. Duncan Luce (pp. 131-151). New Jersey, NJ: Erlbaum Assoc.