On the unblockable states of multiregional economic systems |
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Authors: | V A Vasil’ev V I Suslov |
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Institution: | (2) Department of Mathematics, Ocean University of China, Qingdao, China; |
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Abstract: | We study conditions for the existence of unblockable states for a class of models studied in a series of articles on multiregional
economic systems. We describe the cooperative games that are associated to these models and reduce some questions of coalition
stability of regional development plans to the appropriate game theory problems. Using the classical Scarf theorem on the
nonemptiness of the cores of cooperative games, we establish quite simple conditions for the existence of unblockable states
of these models of interregional economic interaction. Important roles in the realization of this approach belong to the linearity
of these models and the ensuing polyhedrality of the sets of balanced plans of the regional coalitions. |
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Keywords: | |
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