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Revealed preference tests of collectively rational consumption behavior: Formulations and algorithms

par Talla Nobibon, Fabrice;Cherchye, Laurens;Crama, Yves;Demuynck, Thomas ;De Rock, Bram ;Spieksma, Frits
Référence Operations research, 64, 6, page (1197-1216)
Publication Publié, 2016-11

Article révisé par les pairs

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Résumé :

This paper focuses on revealed preference tests of the collective model of household consumption. We start by showing that the decision problems corresponding to testing collective rationality are NP-complete. This makes the application of these tests problematic for (increasingly available) large(r)-scale data sets. We then present two approaches to overcome this negative result. First, we introduce exact algorithms based on mixed-integer programming (MIP) formulations of the collective rationality tests, which can be usefully applied to medium-sized data sets. Next, we propose simulated annealing heuristics, which allow for efficient testing of the collective model in the case of large data sets. We illustrate our methods by a number of computational experiments based on Dutch labor supply data.