Cooperation under interval uncertainty

被引:109
作者
Alparslan-Goek, S. Zeynep [1 ,2 ]
Miquel, Silvia [3 ]
Tijs, Stef H. [4 ]
机构
[1] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey
[2] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, TR-32260 Isparta, Turkey
[3] Univ Lleida, Dept Math, Lleida 25001, Spain
[4] Tilburg Univ, Ctr & Dept Econometr & OR, NL-5000 LE Tilburg, Netherlands
关键词
Cooperative game theory; Interval uncertainty; Core; Value; Balancedness; DIVISION; TALMUD;
D O I
10.1007/s00186-008-0211-3
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 [运筹学与控制论]; 120117 [社会管理工程];
摘要
In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions called psi(alpha)-values are introduced and characterizations are given.
引用
收藏
页码:99 / 109
页数:11
相关论文
共 16 条
[1]
[Anonymous], 1987, Z OPER RES
[2]
[Anonymous], 1963, PROBLEMY KYBERNETIKI
[3]
[Anonymous], 2003, ECON BULL
[4]
GAME THEORETIC ANALYSIS OF A BANKRUPTCY PROBLEM FROM THE TALMUD [J].
AUMANN, RJ ;
MASCHLER, M .
JOURNAL OF ECONOMIC THEORY, 1985, 36 (02) :195-213
[5]
BORM P, 2001, TOP, V9, P139
[6]
How to cope with division problems under interval uncertainty of claims? [J].
Branzei, R ;
Dimitrov, D ;
Pickl, S ;
Tijs, S .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2004, 12 (02) :191-200
[7]
Branzei R, 2005, LECT NOTES ECON MATH, V556, P1, DOI 10.1007/3-540-28509-1
[8]
CARPENTE L, 2005, U OREGON EC DEP WORK, V16
[9]
Gillies D. B., 1953, THESIS
[10]
Moore R.E., 1979, Methods and applications of interval analysis