@techreport{NBERw17970, title = "Choice Probability Generating Functions", author = "Mogens Fosgerau and Daniel L. McFadden and Michel Bierlaire", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Working Paper Series", number = "17970", year = "2012", month = "April", URL = "http://www.nber.org/papers/w17970", abstract = {This paper considers discrete choice, with choice probabilities coming from maximization of preferences from a random utility field perturbed by additive location shifters (ARUM). Any ARUM can be characterized by a choice-probability generating function (CPGF) whose gradient gives the choice probabilities, and every CPGF is consistent with an ARUM. We relate CPGF to multivariate extreme value distributions, and review and extend methods for constructing CPGF for applications.}, }