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Dual Random Utility Maximisation

Paola Manzini () and Marco Mariotti

No 201605, Discussion Paper Series, Department of Economics from Department of Economics, University of St. Andrews

Abstract: Dual Random Utility Maximisation (dRUM) is Random Utility Maximisation when utility depends on only two states. dRUM has many relevant behavioural interpretations and practical applications. We show that it is (generically) the only stochastic choice rule that satisfies Regularity and two new simple properties: Constant Expansion (if the choice probability of an alternative is the same across two menus, then it is the same in the combined menu), and Negative Expansion (if the choice probability of an alternative is less than one and differs across two menus, then it vanishes in the combined menu). By extending the theory to menu-dependent state probabilities we are able to accommodate prominent violations of Regularity such as the attraction, similarity and compromise effects.

Keywords: Stochastic Choice; Attraction Effect; Similarity Effect (search for similar items in EconPapers)
JEL-codes: D03 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-mic and nep-upt
Date: 2016-03-23, Revised 2017-03-12
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