Every Choice Function Is Pro-Con Rationalizable

References

• Alptekinoğlu A, Semple JH (2016) The exponomial choice model: A new alternative for assortment and price optimization. Oper. Res. 64(1):79–93.Link, Google Scholar
• Arrow KJ, Raynaud H (1986) Social Choice and Multicriterion Decision-Making (MIT Press, Cambridge, MA).Google Scholar
• Barberá S, Pattanaik PK (1986) Falmagne and the rationalizability of stochastic choices in terms of random orderings. Econometrica 54(3):707–715.Crossref, Google Scholar
• Barberá S, Sonnenschein H (1978) Preference aggregation with randomized social orderings. J. Econom. Theory 18(2):244–254.Crossref, Google Scholar
• Berbeglia G, Garassino A, Vulcano G (2022) A comparative empirical study of discrete choice models in retail operations. Management Sci. 68(6):4005–4023.Link, Google Scholar
• Block H, Marschak J (1960) Contributions to Probability and Statistics (Stanford University Press, Stanford, CA).Google Scholar
• Bossert W, Sprumont Y (2013) Every choice function is backward-induction rationalizable. Econometrica 81(6):2521–2534.Crossref, Google Scholar
• Brualdi RA, Ryser HJ (1991) Combinatorial Matrix Theory, vol. 39 (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• Candes E, Tao T (2005) Decoding by linear programming. IEEE Trans. Inform. Theory 51(12):4203–4215.Crossref, Google Scholar
• Donoho DL, Elad M (2003) Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization. Proc. National Acad. Sci. USA 100(5):2197–2202.Crossref, Google Scholar
• Falmagne J-C (1978) A representation theorem for finite random scale systems. J. Math. Psych. 18(1):52–72.Crossref, Google Scholar
• Farias VF, Jagabathula S, Shah D (2013) A nonparametric approach to modeling choice with limited data. Management Sci. 59(2):305–322.Link, Google Scholar
• Fiorini S (2004) A short proof of a theorem of Falmagne. J. Math. Psych. 48(1):80–82.Crossref, Google Scholar
• Fishburn PC (1978) Choice probabilities and choice functions. J. Math. Psych. 18(3):205–219.Crossref, Google Scholar
• Ford LR Jr, Fulkerson DR (2015) Flows in Networks (Princeton University Press, Princeton, NJ).Google Scholar
• Franklin B (1887) The Complete Works of Benjamin Franklin: 1772–1775, vol. 5 (GP Putnam’s Sons).Google Scholar
• Hammond JS, Keeney RL, Raiffa H (1998) Even swaps: A rational method for making trade-offs. Harvard Bus. Rev. 76:137–150.Google Scholar
• Heller I, Tompkins C (1956) An extension of a theorem of Dantzig’s. Linear Inequalities Related Systems 38:247–252.Google Scholar
• Hoffman AJ, Kruskal JB (2010) Integral boundary points of convex polyhedra. 50 Years of Integer Programming 1958–2008 (Springer, Berlin), 49–76.Crossref, Google Scholar
• Huber J, Puto C (1983) Market boundaries and product choice: Illustrating attraction and substitution effects. J. Consumer Res. 10(1):31–44.Crossref, Google Scholar
• Intriligator MD (1973) A probabilistic model of social choice. Rev. Econom. Stud. 40(4):553–560.Crossref, Google Scholar
• Intriligator MD (1982) Probabilistic models of choice. Math. Social Sci. 2(2):157–166.Crossref, Google Scholar
• Kalai G, Rubinstein A, Spiegler R (2002) Rationalizing choice functions by multiple rationales. Econometrica 70(6):2481–2488.Crossref, Google Scholar
• Köksalan MM, Wallenius J, Zionts S (2011) Multiple Criteria Decision Making: From Early History to the 21st Century (World Scientific).Crossref, Google Scholar
• Luce RD, Raiffa H (1957) Games and Decisions: Introduction and Critical Survey (Wiley, New York).Google Scholar
• Manzini P, Mariotti M (2014) Stochastic choice and consideration sets. Econometrica 82(3):1153–1176.Crossref, Google Scholar
• Manzini P, Mariotti M, Tyson CJ (2013) Two-stage threshold representations. Theoretical Econom. 8(3):875–882.Crossref, Google Scholar
• McFadden D (1978) Modeling the choice of residential location. Transporation Res. Rec. 673:72–77.Google Scholar
• McGarvey DC (1953) A theorem on the construction of voting paradoxes. Econometrica 21(4):608–610.Crossref, Google Scholar
• Pattanaik PK, Peleg B (1986) Distribution of power under stochastic social choice rules. Econometrica. 54(4):909–921.Crossref, Google Scholar
• Payne JW, Puto C (1982) Adding asymmetrically dominated alternatives: Violations of regularity and the similarity hypothesis. J. Consumer Res. 9(1):90–98.Crossref, Google Scholar
• Rieskamp J, Busemeyer JR, Mellers BA (2006) Extending the bounds of rationality: Evidence and theories of preferential choice. J. Econom. Literature 44(3):631–661.Crossref, Google Scholar
• Saari DG (1989) A dictionary for voting paradoxes. J. Econom. Theory 48(2):443–475.Crossref, Google Scholar
• Saito K (2017) Axiomatizations of the mixed logit model. Working paper, Caltech. https://authors.library.caltech.edu/99361/.Google Scholar
• Shafir E (1993) Choosing vs. rejecting: Why some options are both better and worse than others. Memory Cognition 21(4):546–556.Crossref, Google Scholar
• Shafir E, Simonson I, Tversky A (1993) Reason-based choice. Cognition 49(1):11–36.Crossref, Google Scholar
• Stanley RP (1997) Enumerative Combinatorics, vol. 1 (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar