Title
Revealed Preference Tests of Collectively Rational Consumption Behavior: Formulations and Algorithms
Abstract
AbstractThis 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.
Year
DOI
Venue
2016
10.1287/opre.2016.1527
Periodicals
Keywords
Field
DocType
revealed preference axioms,rationality,mixed-integer programming,global optimization,simulated annealing
Simulated annealing,Mathematical optimization,Decision problem,Data set,Rationality,Revealed preference,Global optimization,Algorithm,Integer programming,Heuristics,Mathematics
Journal
Volume
Issue
ISSN
64
6
0030-364X
Citations 
PageRank 
References 
3
0.48
14
Authors
6
Name
Order
Citations
PageRank
Fabrice Talla Nobibon11009.86
Laurens Cherchye212918.61
Yves Crama354763.94
Thomas Demuynck492.85
B. De Rock5365.91
Frits C. R. Spieksma659158.84