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English version: Journal of Applied and Industrial Mathematics, 2019, 13:4, 771-785 |
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Volume 26, No 4, 2019, P. 34-55 UDC 519.83
Keywords: mixed economy with production, rationing, state order,equilibrium, undominated allocation, fuzzy core. DOI: 10.33048/daio.2019.26.632 Valery A. Vasil’ev 1,2 Received September 17, 2018 References[1] V. A. Vasil’ev, Fuzzy core allocations in a mixed economy of Arrow–Debreu type, in Optimization Problems and Their Applications (Rev. Sel. Pap. 7th Int. Conf. OPTA 2018, Omsk, Russia, July 8–14, 2018) (Springer, Cham, 2018), pp. 235–248 (Commun. Comput. Inf. Sci., Vol. 871).[2] V. L. Makarov, V. A. Vasil’ev, A. N. Kozyrev, and V. M. Marakulin, On some problems and results of modern mathematical economics, in Optimization, Vol. 30 (Inst. Mat. SO AN SSSR, Novosibirsk, 1982), [3] V. L. Makarov, V. A. Vasil’ev, A. N. Kozyrev, and V. M. Marakulin, Equilibria, rationing, and stability, Matekon. 25 (4), 4–95 (1989). [4] V. A. Vasil’ev and A. V. Sidorov, Equilibrium in a regulated market: I. Existence, Diskretn. Anal. Issled. Oper., Ser. 2, 8 (1), 3–21 (2001) [Russian]. [5] V. A. Vasil’ev and H. Wiesmeth, Equilibrium in a mixed economy of Arrow–Debreu type, J. Math. Econ. 44 (2), 132–147 (2008). [6] G. van der Laan, V. A. Vasil’ev, and R. J. G. Venniker, On the transition from the mixed economies to the market economies, Sib. Adv. Math. 10 (1), 1–33 (2000). [7] C. D. Aliprantis, D. J. Brown, and O. Burkinshaw, Existence and Optimality of Competitive Equilibria (Springer, Berlin, 1990; Mir, Moscow, 1995 [Russian]). [8] W. Hildenbrand, Core and Equilibria of a Large Economy (Princeton Univ. Press, Princeton, 1974; Nauka, Moscow, 1986 [Russian]). [9] V. A. Vasil’ev, On edgeworth equilibria for some types of nonclassical markets, Sib. Adv. Math. 6 (3), 96–150 (1996). [10] V. A. Vasil’ev, On the coincidence of cores and consistent distributions in mixed economic systems, Dokl. Akad. Nauk 352 (3), 446–450 (1997) [Russian] [Dokl. Math. 55 (1), 75–79 (1997)]. [11] V. A. Vasil’ev, Core equivalence in a mixed economy, in Theory and Markets (North-Holland, Amsterdam, 1999), pp. 59–82. [12] H. Nikaido, Convex Structures and Economic Theory (Academic Press, New York, 1968; Mir, Moscow, 1972 [Russian]). [13] I. Ekeland, Éléments d’économie mathématique (Hermann, Paris, 1979 [French]; Mir, Moscow, 1983 [Russian]). [14] J.-P. Aubin, Mathematical Methods of Game and Economic Theory (North-Holland, Amsterdam, 1979). [15] R. T. Rockafellar, Convex analysis (Princeton Univ. Press, Princeton, 1970; Nauka, Moscow, 1973 [Russian]). |
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