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Theory and Decision

, Volume 82, Issue 2, pp 305–307 | Cite as

A note on a recent paper by Dagsvik on IIA and random utilities

  • P. O. Lindberg
  • Tony E. Smith
Article
  • 113 Downloads

Abstract

In a recent paper in this journal, Dagsvik derives the class of independent random utility representations that are “equivalent” to the independence-from-irrelevant-alternatives (IIA) assumption by Luce (Individual choice behavior: a theoretical analysis. Wiley, New York, 1959). In this short note, we clarify the relations between this paper by Dagsvik, and a paper in Lindberg’s 2012 thesis.

Keywords

Random utility IIA (Independence from irrelevant alternatives) Choice probabilities 

References

  1. Dagsvik, J. K. (2016). What independent random utility representations are equivalent to the IIA assumption? Theory and Decision, 80(3), 495–499.CrossRefGoogle Scholar
  2. Fisher, R. A., & Tippett, L. H. C. (1928). Limiting forms of the frequency distribution of the largest and smallest member of a sample. Mathematical Proceedings of the Cambridge Philosophical Society, 24, 180–190.CrossRefGoogle Scholar
  3. Lindberg, P. O. (2012a). Contributions to probabilistic discrete choice. PhD Thesis, Dept. of Transport Science, KTH Royal Institute of Technology, Stockholm, Sweden. urn:nbn:se:kth:diva-95402.Google Scholar
  4. Lindberg, P. O. (2012b). Random utility models, IIA, Mattsson-Weibull-Li Distributions and a Conjecture by Luce and Suppes, in Lindberg (2012a). urn:nbn:se:kth:diva-95396.Google Scholar
  5. Luce, R. D. (1959). Individual choice behavior: a theoretical analysis. New York: Wiley.Google Scholar
  6. Resnick, S. I. (1987). Extreme values, regular variation and point processes. New York: Springer-Verlag.CrossRefGoogle Scholar
  7. Yellott, J. I. (1977). The relationship between Luce’s choice axiom, Thurstone’s theory of comparative judgment, and the double exponential distribution. Journal of Mathematical Psychology, 15, 109–144.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Centre for Transport Studies, KTH Royal Institute of TechnologyStockholmSweden
  2. 2.Swedish National Road and Transport Research InstituteStockholmSweden
  3. 3.Department of Electrical and Systems EngineeringUniversity of PennsylvaniaPhiladelphiaUSA

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