Random utility threshold models of subset choice

References

• Barberá, S., and Pattanaik, P. K., 1986. Falmagne and the rationalizability of stochastic choices in terms of random orderings, Econometrica 54 (1986), pp. 707–715.
   Web of Science ®Google Scholar
• Block, H. D., and Marschak, J., 1960. "Random orderings and stochastic theories of responses". In: Olkin, I., Ghurye, S., Hoeffding, H., Madow, W., and Mann, H., eds. Contributions to probability and statistics. Stanford: Stanford University Press; 1960. pp. 97–132.
   Google Scholar
• Clarke, F. R., 1957. Constant-ratio rule for confusion matrices in speech communication, Journal of the Acoustical Society of America 29 (1957), pp. 715–720.
   Web of Science ®Google Scholar
• Corbin, R., and Marley, A. A.J., 1974. Random utility models with equality: An apparent, but not actual, generalization of random utility models, Journal of Mathematical Psychology 11 (1974), pp. 274–293.
   Web of Science ®Google Scholar
• Doignon, J.-P., and Regenwerter, M., 1997. An approval-voting polytope for linear orders, Journal of Mathematical Psychology 41 (1997), pp. 171–188.
   Web of Science ®Google Scholar
• Falmagne, J.-C., 1978. A representation theorem for finite random scale systems, Journal of Mathematical Psychology 18 (1978), pp. 52–72.
   Web of Science ®Google Scholar
• Falmagne, J.-C., and Regenwetter, M., 1996. Random utility models for approval voting, Journal of Mathematical Psychology 40 (1996), pp. 152–159.
   Web of Science ®Google Scholar
• Fishbum, P. C., 1992. Induced binary probabilities and the linear ordering polytope: A status report, Mathematical Social Sciences 23 (1992), pp. 67–80.
   Web of Science ®Google Scholar
• Joe, H., 1997. Some properties of ranking, pairwise preference and choice probabilities for random utility models. 1997, Unpublished manuscript at University of British Columbia, Vancouver.
   Google Scholar
• Koppen, M., 1995. Random utility representation of binary choice probabilities: Critical graphs yielding critical necessary conditions, Journal of Mathematical Psychology. 39 (1995), pp. 21–39.
   Web of Science ®Google Scholar
• Luce, R. D., 1959. Individual choice behavior: A theoretical analysis. New York: Wiley; 1959.
   Google Scholar
• Luce, R. D., and Suppes, P., 1965. "Preference, utility and subjective probability". In: Luce, R. D., Bush, R. R., and Galanter, E., eds. Handbook of mathematical psychology. Vol. Vol. Ill. New York: Wiley; 1965. pp. 249–410.
   Google Scholar
• Marley, A. A.J., 1993. "Aggregation theorems and the combination of probabilistic rank orders". In: Critchlow, D. E., Fligner, M. A., and Verducci, J. S., eds. Probability models and statistical analyses for ranking data. New York: Springer; 1993. pp. 216–240.
   Google Scholar
• Niederée, R., and Heyer, D., 1997. "Generalized random utility models and the representational theory of measurement: A conceptual link". In: Marley, A. A.J., ed. Choice, decision and measurement. Essays in honor of R. Duncan Luce. Mahwah, NJ: Erlbaum; 1997. pp. 155–189.
   Google Scholar
• Regenwetter, M., 1996. Random utility representations of finite m-ary relations, Journal of Mathematical Psychology 40 (1996), pp. 219–234.
   Web of Science ®Google Scholar
• Regenwetter, M., 1997. Probabilistic preferences and topset voting, Mathematical Social Sciences 34 (1997), pp. 91–105.
   Web of Science ®Google Scholar
• Regenwetter, M., and Doignon, J.-P., 1998. The choice probabilities of the latent-scale model satisfy the size-independent model when n is small [Theoretical note], Journal of Mathematical Psychology 42 (1998), pp. 102–106.
   Web of Science ®Google Scholar
• Regenwetter, M., and Grofman, B., 1998a. Approval voting, Borda winners and Condorcet winners: Evidence from seven elections, Management Science 44 (1998a), pp. 520–533.
   Web of Science ®Google Scholar
• Regenwetter, M., and Grofman, B., 1998b. Choosing subsets: A size-independent random utility model and the quest for a social welfare ordering, Social Choice and Welfare 15 (1998b), pp. 423–443.
   Web of Science ®Google Scholar
• Suck, R., 1992. Geometric and combinatorial properties of the polytope of binary choice probabilities, Mathematical Social Sciences 23 (1992), pp. 81–102.
   Web of Science ®Google Scholar
• Tideman, N., 1995. Collective decisions and voting. 1995, Manuscript in preparation.
   Google Scholar
• Tversky, A., 1972a. Choice by elimination, Journal of Mathematical Psychology 9 (1972a), pp. 340–367.
   Web of Science ®Google Scholar
• Tversky, A., 1972b. Elimination by aspects: A theory of choice, Psychological Review 79 (1972b), pp. 281–299.
   Web of Science ®Google Scholar