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A General Behavioural Model of Random Choice

  • Paola Manzini
  • Marco Mariotti

We develop and study a stochastic eliminative choice procedure, called choice by random checklist (CRC). On the one hand CRC extends the idea of Tversky's Elimination by Aspects (EBA) to explain, for example, stochastically intransitive choices. On the other hand a special case of CRC is equivalent to random utility maximisation (RUM). In this way we bring within a single formal framework two leading random choice models in economics and in psychology, which are otherwise difficult to relate. Unlike EBA, which is defined recursively, we give an explicit formula for the choice probabilites in a CRC. We show that a CRC satisfies Monotonicity (extending a result of Sattath and Tversky [14]). We define new testable properties, Stochastic WARP and the Probabilistic Inequality, that are satisfied by CRC (and so, in particular, by a RUM).

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Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 237.

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Length: 27 pages
Date of creation: 2011
Date of revision:
Handle: RePEc:cca:wpaper:237
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  1. Mandler, Michael & Manzini, Paola & Mariotti, Marco, 2008. "A Million Answers to Twenty Questions: Choosing by Checklist," IZA Discussion Papers 3377, Institute for the Study of Labor (IZA).
  2. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
  3. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, 09.
  4. Barbera, Salvador & Pattanaik, Prasanta K, 1986. "Falmagne and the Rationalizability of Stochastic Choices in Terms of Random Orderings," Econometrica, Econometric Society, vol. 54(3), pages 707-15, May.
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