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American Economic Review Vol. 109 No. 7 2019

Deliberately Stochastic

Simone Cerreia-Vioglio1; David Dillenberger2; Pietro Ortoleva3; Gil Riella4

1 Department of Decision Sciences, Università Bocconi, Via Sarfatti, 25 Milano, Italy, and IGIER (email: ) · 2 Department of Economics, University of Pennsylvania, Philadelphia, PA 19104 (email: ) · 3 Department of Economics and Woodrow Wilson School, Princeton University, Princeton, NJ 08544 (email: ) · 4 Escola de Políticas Públicas e Governo and Brazilian School of Public and Business Administration Getulio Vargas Foundation, SGAN, Quadra 602, Brasilia/DF/Brazil, 70830-051 (email: )

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Abstract

We study stochastic choice as the outcome of deliberate randomization. We derive a general representation of a stochastic choice function where stochasticity allows the agent to achieve from any set the maximal element according to her underlying preferences over lotteries. We show that in this model stochasticity in choice captures complementarity between elements in the set, and thus necessarily implies violations of Regularity/Monotonicity, one of the most common properties of stochastic choice. This feature separates our approach from other models, e.g., Random Utility.

DOI
10.1257/aer.20180688
Volume
109
Issue
7
Pages
2425-2445
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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