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研究生:李傑豪
研究生(外文):Jie-Hau Li
論文名稱:不可分割成本之等量分配與一致性
論文名稱(外文):Associated Consistency and Equal Allocation of Nonseparable Costs
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:2002
畢業學年度:90
語文別:英文
論文頁數:20
中文關鍵詞:關聯局EANS一致性
外文關鍵詞:associated gameconsistencyEANS
相關次數:
  • 被引用被引用:0
  • 點閱點閱:252
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  • 下載下載:20
  • 收藏至我的研究室書目清單書目收藏:0
在這一篇論文之中,我們對於某一個分配規則建立它的關聯局,並且定義了一組由關聯局構成的序列,在這序列中的第m項可以用第(m-1)項來表示。如果這個分配規則滿足有效性,非基本局,一致性和連續性等公設,我們證明了這個序列收斂而且它的極限局是非基本局。最後,我們提供了一個動態過程,使得無論從哪個邊界點出發,我們都可以經由這個過程,進而達到EANS這個分配規則。
We construct an associated game with respect to some allocation rule and define a sequence of associated games, when the term of order m, in this sequence, is the associated game of the term of order (m-1). If the
allocation rule satisfies the Pareto-optimality axiom, the inessential game axiom, the associated consistency axiom and the continuity axiom, we show that the sequence converges and that the limit game is an inessential game.
Finally, we find a dynamic process that lead the players to the EANS, starting from an arbitrary boundary point.
1 Introduction 1
2 Framework 2
3 Associated Game and Axioms 3
4 Limit of the Sequence of Associated Games 5
5 ADynamic Approach to the EANS 16
6 Conclusion 20
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Consistency,' Econometrica 57: 589-614.

[2] G. Hamiache (1999), ``A Value with Incomplete
Communication,' Games and Economic Behavior 26: 59-78.

[3] G. Hamiache (2001), ``Associated Consistency and
Shapley Value,' International Journal of Game Theory
30: 279-289.

[4] RB. Myerson (1977), ``Graphs and Cooperation in Games,'
Mathematics of Operations Research 2: 225-229.

[5] H. Moulin (1985), ``The Separablity Axiom and Equal
Sharing Method,' Journal of Economic Theory 36: 120-
148.

[6] M. Maschler and G. Owen (1989), ``The Consistent Shapley
Value for Hyperplane Games,' International Journal of
Game Theory 18: 389-407.

[7] B. Peleg (1980), ``On the Reduced Game Property
and its Converse,' International Journal of Game
Theory 3: 187-200.

[8] J. S. Ransmeier (1942), ``The Tennessee Valley
Authority,' Vanderbilt Univ. Press, Nashville.

[9] P. Young (1985), ``Monotonic Solutions of Cooperative
Games,' International Journal of Game Theory 14: 65-72.
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