Von Neumann–Morgenstern stable-set solutions in the assignment market
نویسندگان
چکیده
Existence of von Neumann–Morgenstern solutions (stable sets) is proved for any assignment game. For each optimal matching, a stable set is defined as the union of the core of the game and the core of the subgames that are compatible with this matching. All these stable sets exclude third-party payments and form a lattice with respect to the same partial order usually defined on the core.
منابع مشابه
Von Neumann-Morgenstern solutions in the assignment market
The existence of von Neumann–Morgenstern solutions (stable sets) for assignment games has been an unsolved question since Shapley and Shubik [11]. For each optimal matching between buyers and sellers, Shubik [12] proposed considering the union of the core of the game and the core of the subgames that are compatible with this matching. We prove in the present paper that this set is the unique st...
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