A short proof of a theorem of Falmagne

Journal of Mathematical Psychology

Volumn 48, Issue 1, 2004, Pages 80-82

  Fiorini, S ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Block Marschak inequalities; Choice probabilities; M bius inversion; Network flows

Indexed keywords

EID: 1542511197     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmp.2003.11.003     Document Type: Article

References (11)

1. Ahuja, R., Magnanti, T., & Orlin, J. (1993). Network flows. Theory, algorithms, and applications: Prentice-Hall, Englewood Cliffs, NJ.
2. Barbera, S., & Pattanaik, P. (1986). Falmagne and the rationalizability of stochastic choices in terms of random orderings. Econometrica, 54, 707-715.
3. Block, H., & Marschak, J. (1960). Random orderings and stochastic theories of response. In I. Olkin, S. Ghurye, W. Hoefding, W. Madow, & H. Mann (Eds.), Contributions to probability and statistics (pp. 97-132). Stanford, CA: Stanford University Press.
4. Colonius, H. (1984). Stochastische Theorien individuellen Wahlverhaltens. Berlin: Springer.
5. Falmagne, J.-C. (1978). A representation theorem for finite random scale systems. Journal of Mathematical Psychology, 18, 52-72.
6. Koppen, M. (2001). Characterization theorems in random utility theory. In International encyclopedia of the social & behavioral sciences (pp. 1646-1651). Amsterdam: Elsevier Science Ltd.
7. Monderer, D. (1992). The stochastic choice problem: A game-theoretic approach. Journal of Mathematical Psychology, 36(4), 547-554.
8. Schrijver, A. (1986). Theory of linear and integer programming. Wiley-Interscience Series in Discrete Mathematics and Optimization. Chichester, New York: Wiley.
9. Schrijver, A. (1995). Polyhedral combinatorics. In R. Graham, M. Grötschel, & L. Lovász (Eds.), Handbook of combinatorics (pp. 1649-1704). Amsterdam: Elsevier (North-Holland).
10. Suck, R. (2002). From binary choice to complete choice; combinatorics and polytopes. Paper presented at the 33rd EMPG meeting in Bremen.
11. van Lint, J., & Wilson, R. (2001). A course in combinatorics (2nd ed.). Cambridge: Cambridge University Press.