Core stability and core-like solutions for three-sided assignment games
Ata Atay () and
Marina Núñez ()
No 1806, IEHAS Discussion Papers from Institute of Economics, Centre for Economic and Regional Studies
In this paper, we study different notions of stability for three-sided assignment games. Since the core may be empty in this case, we first focus on other notions of stability such as the notions of subsolution and von Neumann-Morgenstern stable sets. The dominant diagonal property is necessary for the core to be a stable set, and also sufficient in the case where each sector of the market has two agents. Furthermore, for any three-sided assignment market, we prove that the union of the extended cores of all µ-compatible subgames, for a given optimal matching µ, is the core with respect to those allocations that are compatible with that matching, and this union is always non-empty.
Keywords: Assignment game; core; subsolution; von Neumann-Morgenstern stable set (search for similar items in EconPapers)
JEL-codes: C71 C78 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-des, nep-gth and nep-hpe
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Persistent link: https://EconPapers.repec.org/RePEc:has:discpr:1806
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