Geodesic
Edgeworth equilibrium in a~model of interregional economic relations
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 18-33

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We introduce an analog of Edgeworth equilibrium for a class of multiregional economic systems. We analyze the game-theoretic aspects of the coalition stability of regional development plans and establish a rather general existence theorem for Edgeworth equilibria. We discuss the questions of coincidence of the set of these equilibria with fuzzy kernel and the set of Walras equilibria of the multiregional systems under study. The methods used rest on systematically accounting for the polyhedrality of the sets of balanced coalition plans of the models under consideration.
Keywords: model of a multiregional system, $k$-partitioning of a model, Edgeworth equilibrium, fuzzy $\mathbb Q$-kernel, Walras equilibrium. 
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     author = {V. A. Vasil'ev and V. I. Suslov},
     title = {Edgeworth equilibrium in a~model of interregional economic relations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {18--33},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a1/}
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V. A. Vasil'ev; V. I. Suslov. Edgeworth equilibrium in a~model of interregional economic relations. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 18-33. http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a1/