Technical Note—On the Relation Between Several Discrete Choice Models

Published Online:https://doi.org/10.1287/opre.2017.1602

References

  • Ahipasaoglu SD, Li X, Natarajan K (2016) A convex optimization approach for computing correlated choice probabilities with many alternatives. Working paper, Singapore University of Technology and Design.Google Scholar
  • Alptekinoğlu A, Semple J (2016) The exponomial choice model: A new alternative for assortment and price optimization. Oper. Res. 64(1):79–93.LinkGoogle Scholar
  • Anderson SP, De Palma A, Thisse JF (1988) A representative customer theory of the logit model. Internat. Econom. Rev. 29(3):461–466.CrossrefGoogle Scholar
  • Anderson SP, De Palma A, Thisse JF (1992) Discrete Choice Theory of Product Differentiation (The MIT Press, Cambridge, MA).CrossrefGoogle Scholar
  • Ben-Akiva M, Lerman SR (1985) Discrete Choice Analysis: Theory and Application to Travel Demand (The MIT Press, Cambridge, MA).Google Scholar
  • Bertsekas D (2003) Convex Analysis and Optimization (Athena Scientific, Belmont, MA).Google Scholar
  • Blanchet J, Gallego G, Goyal V (2016) A markov chain approximation to choice modeling. Oper. Res. 64(4):886–905.LinkGoogle Scholar
  • Borwein JM, Lewis AS (2010) Convex Analysis and Nonlinear Optimization: Theory and Examples (Springer, New York).Google Scholar
  • Daganzo C (1980) Multinomial Probit: The Theory and Its Application to Demand Forecasting (Academic Press, New York).Google Scholar
  • Farias VF, Jagabathula S, Shah D (2013) A nonparametric approach to modeling choice with limited data. Management Sci. 59(2):305–322.LinkGoogle Scholar
  • Gallego G, Ratliff R, Shebalov S (2014) A general attraction model and sales-based linear program for network revenue management under customer choice. Oper. Res. 63(1):212–232.LinkGoogle Scholar
  • Hofbauer J, Sandholm WH (2002) On the global convergence of stochastic fictitious play. Econometrica 70(6):2265–2294.CrossrefGoogle Scholar
  • Jagabathula S, Rusmevichientong P (2013) A two-stage model of consideration set and choice: Learning, revenue prediction, and applications. Working paper, New York University.Google Scholar
  • Mas-Colell A, Whinston MD, Green JR (1995) Microeconomic Theory (Oxford University Press, New York).Google Scholar
  • McFadden D (1974) Conditional logit analysis of qualitative choice behavior. Frontiers in Econometrics (Academic Press, New York), 105–142.Google Scholar
  • McFadden D (1980) Econometric models for probabilistic choice among products. J. Bus. 53(3):13–29.CrossrefGoogle Scholar
  • Mishra VK, Natarajan K, Tao H, Teo C-P (2012) Choice prediction with semidefinite optimization when utilities are correlated. IEEE Trans. Automatic Control 57(10):2450–2463.CrossrefGoogle Scholar
  • Mishra VK, Natarajan K, Padmanabhan D, Teo C-P, Li X (2014) On theoretical and empirical aspects of marginal distribution choice models. Management Sci. 60(6):1511–1531.LinkGoogle Scholar
  • Natarajan K, Song M, Teo C-P (2009) Persistency model and its applications in choice modeling. Management Sci. 55(3):453–469.LinkGoogle Scholar
  • Norets A, Takahashi S (2013) On the surjectivity of the mapping between utilities and choice probabilities. Quant. Econom. 4(1):149–155.CrossrefGoogle Scholar
  • Rockafellar T (1974) Conjugate Duality and Optimization (SIAM, Philadelphia).CrossrefGoogle Scholar
  • Thurstone L (1927) A law of comparative judgment. Psych. Rev. 34(4):273–286.CrossrefGoogle Scholar
  • Train KE (2009) Discrete Choice Methods with Simulation (Cambridge University Press, New York).CrossrefGoogle Scholar
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