【摘要】：準(zhǔn)許樹(shù)結(jié)構(gòu)是對(duì)具有等級(jí)劃分的組織結(jié)構(gòu)的抽象.例如公司或團(tuán)體的成員結(jié)構(gòu),只有上級(jí)準(zhǔn)許的情況下下級(jí)成員才能執(zhí)行某些活動(dòng).此外,在同一組織中下級(jí)成員間的合作往往多于競(jìng)爭(zhēng),但這種合作必須得到上級(jí)成員的許可才能進(jìn)行.本文研究了具有準(zhǔn)許樹(shù)結(jié)構(gòu)的博弈(即準(zhǔn)許樹(shù)博弈)的解.首先提出了權(quán)重準(zhǔn)許分支公平公理,并由此得到了一個(gè)與權(quán)重系統(tǒng)相關(guān)的解,即權(quán)重準(zhǔn)許值.其次,利用有效性,非本質(zhì)元性質(zhì)和權(quán)重準(zhǔn)許分支公平這三個(gè)公理,對(duì)給定權(quán)重系統(tǒng)解的唯一性進(jìn)行了完全刻畫(huà).最后,證明了當(dāng)準(zhǔn)許樹(shù)博弈滿足錐模性質(zhì)時(shí)由權(quán)重系統(tǒng)集確定的解集與它的準(zhǔn)許樹(shù)限制核是等價(jià)的.
[Abstract]:A permitted tree structure is an abstraction of a hierarchical organizational structure. For example, the membership structure of a company or group allows a subordinate member to perform certain activities only with the permission of a superior. In addition, cooperation among junior members in the same organization is often greater than competition, but such cooperation must be carried out with the permission of the superior member. In this paper, we study the solution of a game with permitted tree structure (i.e., a permitted tree game). Firstly, the justice axiom of the permitted branch of weights is proposed, and a solution related to the weight system is obtained, that is, the permitted value of weights. Secondly, the uniqueness of the solution of a given weight system is completely characterized by using the three axioms of validity, non-essential element property and the fairness of the permitted branch of weight. Finally, it is proved that the solution set determined by the set of weight systems is equivalent to its restricted kernel of permitted tree when the game of permitted tree satisfies the cone-module property.
【作者單位】： 上海大學(xué)管理學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11571222,11471210)~~
【分類號(hào)】：F224.32
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本文編號(hào)：2167279