Choice probability generating functions
This paper establishes that every random utility discrete choice model (RUM) has a representation that can be characterized by a choice-probability generating function (CPGF) with specific properties, and that every function with these specific properties is consistent with a RUM. The choice probabilities from the RUM are obtained from the gradient of the CPGF. Mixtures of RUM are characterized by logarithmic mixtures of their associated CPGF. The paper relates CPGF to multivariate extreme value distributions, and reviews and extends methods for constructing generating functions for applications. The choice probabilities of any ARUM may be approximated by a cross-nested logit model. The results for ARUM are extended to competing risk survival models.
|Date of creation:||2010|
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- P O Lindberg & E A Eriksson & L-G Mattsson, 1995.
"Invariance of achieved utility in random utility models,"
Environment and Planning A,
Pion Ltd, London, vol. 27(1), pages 121-142, January.
- P O Lindberg & E A Eriksson & L-G Mattsson, 1995. "Invariance of Achieved Utility in Random Utility Models," Environment and Planning A, , vol. 27(1), pages 121-142, January.
- Ruud H. Koning & Geert Ridder, 2003. "Discrete choice and stochastic utility maximization," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 1-27, 06.
- Ruud H Koning & Geert Ridder, 1999. "Discrete Choice and Stochastic Utility Maximization," Economics Working Paper Archive 413, The Johns Hopkins University,Department of Economics.
- de Palma, Andre & Kilani, Karim, 2007. "Invariance of conditional maximum utility," Journal of Economic Theory, Elsevier, vol. 132(1), pages 137-146, January.
- A.de Palma & K. Kilani, 2003. "Invariance of Conditional Maximum Utility," THEMA Working Papers 2003-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Bierlaire, M. & Bolduc, D. & McFadden, D., 2008. "The estimation of generalized extreme value models from choice-based samples," Transportation Research Part B: Methodological, Elsevier, vol. 42(4), pages 381-394, May.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
- H C W L Williams, 1977. "On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit," Environment and Planning A, , vol. 9(3), pages 285-344, March.
- McFadden, Daniel, 1974. "The measurement of urban travel demand," Journal of Public Economics, Elsevier, vol. 3(4), pages 303-328, November.
- Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470. Full references (including those not matched with items on IDEAS)