Happy family of stable marriages

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Tác giả: Gershon Wolansky

Ngôn ngữ: eng

Ký hiệu phân loại: 204.41 Marriage and family life

Thông tin xuất bản: 2018

Mô tả vật lý:

Bộ sưu tập: Metadata

ID: 161939

Comment: 15 pages, 4 figuresSome aspects of the problem of stable marriage are discussed. There are two distinguished marriage plans: the fully transferable case, where money can be transferred between the participants, and the fully non transferable case where each participant has its own rigid preference list regarding the other gender. We continue to discuss intermediate partial transferable cases. Partial transferable plans can be approached as either special cases of cooperative games using the notion of a core, or as a generalization of the cyclical monotonicity property of the fully transferable case (fake promises). We shall introduced these two approaches, and prove the existence of stable marriage for the fully transferable and non-transferable plans.
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