On Unblockable States in Multiregional Economic Systems

We study conditions for the existence of unblockable states in a class of models considered in a series of articles on multiregional economic systems. We describe cooperative games associated to these models and reduce some questions of coalition stability of regional development plans to the corresponding problems of game-theoretic analysis. Using the classical Scarf core nonemptiness theorem for cooperative games, we establish sufficiently simple conditions for the existence of unblockable states in the models of interregional economic interaction in question. Important roles in the implementation of our approach belong to the linearity of the models considered and the ensuing polyhedrality of the sets of balanced plans of regional coalitions.