An Afriat Theorem for the collective model of household consumption

Afriat, 1967, The construction of utility functions from expenditure data, Int. Econ. Rev., 8, 67, 10.2307/2525382 Arcangéli, 2004 Brown, 1996, Testable restrictions on the equilibrium manifold, Econometrica, 64, 1249, 10.2307/2171830 Brown, 2000, Uniqueness, stability and comparative statics in rationalizable Walrasian markets, Econometrica, 68, 1529, 10.1111/1468-0262.00172 Browning, 1994, Income and outcomes: A structural model of intrahousehold allocations, J. Polit. Economy, 102, 1067, 10.1086/261964 Browning, 1998, Efficient intra-household allocations: A general characterization and empirical tests, Econometrica, 66, 1241, 10.2307/2999616 Bourguignon, 2009, Efficient intra-household allocations and distribution factors: Implications and identification, Rev. Econ. Stud., 76, 503, 10.1111/j.1467-937X.2008.00525.x Carvajal, 2004, Equilibrium behavior in markets and games: Testable restrictions and identification, J. Math. Econ., 40, 1, 10.1016/j.jmateco.2003.06.001 Cherchye, 2008, Nonparametric tests of collectively rational consumption behavior: An integer programming procedure, J. Econometrics, 147, 258, 10.1016/j.jeconom.2008.09.010 Cherchye, 2007, The collective model of household consumption: A nonparametric characterization, Econometrica, 75, 553, 10.1111/j.1468-0262.2006.00757.x Cherchye, 2008, Analyzing cost efficient production behavior under economies of scope: A nonparametric methodology, Oper. Res., 56, 204, 10.1287/opre.1070.0388 L. Cherchye, B. De Rock, F. Vermeulen, The revealed preference approach to collective consumption behavior: Testing, recovery and welfare analysis, IZA discussion papers 3062, Institute for the Study of Labor (IZA), version July 2008 Cherchye, 2008, Nonparametric analysis of household labor supply: Goodness of fit and power of the unitary and the collective model, Rev. Econ. Statist., 90, 267, 10.1162/rest.90.2.267 Chiappori, 1988, Rational household labor supply, Econometrica, 56, 63, 10.2307/1911842 Chiappori, 1992, Collective labor supply and welfare, J. Polit. Economy, 100, 437, 10.1086/261825 Chiappori, 2006, The micro economics of group behavior: General characterization, J. Econ. Theory, 130, 1, 10.1016/j.jet.2005.01.007 Chiappori, 2009, The micro economics of efficient group behavior: Identification, Econometrica, 77, 763, 10.3982/ECTA5929 Diewert, 1973, Afriat and revealed preference theory, Rev. Econ. Stud., 40, 419, 10.2307/2296461 Forges, 2009, Afriat's Theorem for general budget sets, J. Econ. Theory, 144, 135, 10.1016/j.jet.2008.03.002 Fortin, 1997, A test of the unitary and collective models of household labour supply, Econ. J., 107, 933, 10.1111/j.1468-0297.1997.tb00001.x Guesnerie, 1975, Pareto optimality in non-convex economies, Econometrica, 43, 1, 10.2307/1913410 Houthakker, 1950, Revealed preference and the utility function, Economica, 17, 159, 10.2307/2549382 Hurwicz, 1971, On the problem of integrability of demand functions Kannai, 1977, Concavifiability and constructions of concave utility functions, J. Math. Econ., 4, 1, 10.1016/0304-4068(77)90015-5 Pollak, 1990, Distinguished fellow: Houthakker's contributions to economics, J. Econ. Perspect., 4, 141, 10.1257/jep.4.2.141 Richter, 2004, Concave utility on finite sets, J. Econ. Theory, 115, 341, 10.1016/S0022-0531(03)00167-4 Samuelson, 1938, A Note on the pure theory of consumer behavior, Economica, 5, 61, 10.2307/2548836 Starr, 1969, Quasi-equilibria in markets with non-convex preferences, Econometrica, 37, 25, 10.2307/1909201 Starret, 1972, Fundamental nonconvexities in the theory of externalities, J. Econ. Theory, 4, 180, 10.1016/0022-0531(72)90148-2 Mas-Colell, 1995 Varian, 1982, The nonparametric approach to demand analysis, Econometrica, 50, 945, 10.2307/1912771 Varian, 2006, Revealed preference