A characterization of the nucleolus for convex games

被引：10

作者：

Arin, J ^{[1
]}

Inarra, E ^{[1
]}

机构：

[1] Univ Basque Country, Dpto Ftos A Econ, Bilbao 48015, Spain

来源：

GAMES AND ECONOMIC BEHAVIOR | 1998年 / 23卷 / 01期

关键词：

D O I：

10.1006/game.1997.0601

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper presents a characterization of the nucleolus in terms of partitions and anti-partitions for convex games. The results used in this characterization are applied to bankruptcy games. The characterization is easily derived in a procedure for computing the nucleolus for convex games. This procedure is shortened by a method that disregards irrelevant partitions and anti-partitions. (C) 1998 Academic Press.

引用

页码：12 / 24

页数：13

共 14 条

[1] The nucleolus and kernel of veto-rich transferable utility games [J].

Arin, J ;

Feltkamp, V .

INTERNATIONAL JOURNAL OF GAME THEORY, 1997, 26 (01) :61-73

[2]

ARIN J, 1995, THESIS U PAIS VASCO

[3] GAME THEORETIC ANALYSIS OF A BANKRUPTCY PROBLEM FROM THE TALMUD [J].

AUMANN, RJ ;

MASCHLER, M .

JOURNAL OF ECONOMIC THEORY, 1985, 36 (02) :195-213

[4] A noncooperative view of consistent bankruptcy rules [J].

Dagan, N ;

Serrano, R ;

Volij, O .

GAMES AND ECONOMIC BEHAVIOR, 1997, 18 (01) :55-72

[5] KERNEL OF A COOPERATIVE GAME [J].

DAVIS, M ;

MASCHLER, M .

NAVAL RESEARCH LOGISTICS QUARTERLY, 1965, 12 (3-4) :223-&

[6] NUCLEOLUS OF A CHARACTERISTIC FUNCTION GAME [J].

KOHLBERG, E .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 20 (01) :62-&

[7]

Maschler M., 1972, International Journal of Game Theory, V1, P73

[8] STRUCTURE OF KERNEL OF A COOPERATIVE GAME [J].

MASCHLER, M ;

PELEG, B .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1967, 15 (03) :569-&

[9] A CHARACTERIZATION EXISTENCE PROOF AND DIMENSION BOUNDS FOR KERNEL OF A GAME [J].

MASCHLER, M ;

PELEG, B .

PACIFIC JOURNAL OF MATHEMATICS, 1966, 18 (02) :289-&

[10]

MASCHLER M, 1992, HDB KGAME THEORY, V1, pCH18

← 1 2 →