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研究生:朱儷
研究生(外文):Rahma Julia
論文名稱:全體補集的相關對局
論文名稱(外文):Associated Game with Respect to All Complement
指導教授:黃延安
指導教授(外文):Yan-An Hwang
學位類別:碩士
校院名稱:國立東華大學
系所名稱:應用數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2013
畢業學年度:101
論文頁數:20
中文關鍵詞:可交換對局等量分配不可分割成本解相關一致性
外文關鍵詞:TU gamesEANSCAssociated consistency
相關次數:
  • 被引用被引用:0
  • 點閱點閱:117
  • 評分評分:
  • 下載下載:3
  • 收藏至我的研究室書目清單書目收藏:0
在這篇文章中,我們修改相關對局的定義,使每個聯盟只能與其所有補集的成員,同時重新交涉並且利用柏拉圖最佳化,遞移不變性、對稱性,與這新的相關對局定義所導出的一致性及連續性來刻劃等量分配不可分割成本解。
In this work, we modified the definition of associated game with respect to all complement to characterize the equal allocation of nonseparable costs (EANSC) by means of Pareto Optimality (PO), Translation Covariance (TC), Symmetry (SYM),
Associated Consistency(AC) and Continuity(CONT).
1 Introduction 1
2 Definitions and notations 5
3 Characterization of the EANSC on TU Games 9
4 Independence of the axioms 17
[1] Driessen, T.S.H., 1991. A survey of consistency properties in cooperative game
theory, SIAM Review 33, 43–59.
[2] Driessen, T.S.H., 2010. Associated consistency and values for TU games, International
Journal of Game Theory 39, 467–482.
[3] Hamiache, G., 2001. Associated consistency and Shapley value, International
Journal of Game Theory 30, 279–289.
[4] Hart, S., Mas-Collel, A. 1989. Potential, value and consistency. Econometrica
57, 589–614.
[5] Hwang, Y., 2006. Associated consistency and equal allocation of nonseparable
costs, Economic Theory 28, 709–719.
[6] Moulin, H., (1985). The Separability Axiom and Equal Sharing Method. Journal
of Economic Theory 36, 120–148.
[7] Moulin, H., 1991. The Separability Axiom and Equal Sharing Method, International
Journal of Game Theory 36, 120–148.
[8] Myerson, R.B., 1977. Graphs and cooperation in games, Mathematics of Operations
Research 2, 225–229.
[9] Naumova, N.I., 2009. Associated consistency based on utility functions of
coalitions, UBS 26, St. Petersburg State University, 79–99.
[10] Peleg B, Tijs S, 1996. The consistency principle for games in strategic form.
costs, International Journal of Game Theory 36, 19–34.
[11] Thomson, W., 1996. Consistent allocation rule, RCER Working Paper 418,
University of Rochester.
[12] Xu, G., Driessen T., Sun, H., (2008). Matrix analysis for associated consistency
in coop- erative game theory. Linear Algebra and its Applications 428,
pp. 1571-1586.
[13] Xu, G., Driessen T., Sun, H., (2009). Matrix approach to dual similar associated
consis- tency for the Shapley value. Linear Algebra and its Applications
430, pp. 2896-2897.

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