Geodesic
Integrability conditions, income distribution and social structure of the society
Matematičeskoe modelirovanie, Tome 6 (1994) no. 8, pp. 105-125.

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Integrability conditions are the important characteristic of the consumer behaviour structure. We analyse their origin from the point of a neoclassic consumer demand model. The relationship between the integrability of consumer demand functions and the existence of Bergsonian welfare function for a suitable income distribution is established. 
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     author = {A. A. Petrov and A. A. Shananin},
     title = {Integrability conditions, income distribution and social structure of the society},
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A. A. Petrov; A. A. Shananin. Integrability conditions, income distribution and social structure of the society. Matematičeskoe modelirovanie, Tome 6 (1994) no. 8, pp. 105-125. http://geodesic.mathdoc.fr/item/MM_1994_6_8_a8/