Values for interior operator games

被引:2
|
作者
Bilbao, JM [1 ]
Jiménez-Losada, A [1 ]
Lebrón, E [1 ]
Chacón, C [1 ]
机构
[1] Escuela Super Ingn, Seville 41092, Spain
关键词
cooperative games; antimatroids; Shapley value; Banzhaf value; Ti[!text type='js']js[!/text] value;
D O I
10.1007/s10479-005-2251-x
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The aim of this paper is to study a new class of cooperative games called interior operator games. These games are additive games restricted by antimatroids. We consider several types of cooperative games as peer group games, big boss games, clan games and information market games and show that all of them are interior operator games. Next, we analyze the properties of these games and compute the Shapley, Banzhaf and Tijs values.
引用
收藏
页码:141 / 160
页数:20
相关论文
共 50 条
  • [1] Values for Interior Operator Games
    J. M. Bilbao
    A. Jiménez-Losada
    E. Lebrón
    C. Chacón
    Annals of Operations Research, 2005, 137 : 141 - 160
  • [2] Linear values for interior operator games
    Jimenez-Losada, A.
    Chacon, C.
    Lebron, E.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2012, 220 (01) : 182 - 186
  • [3] Convexity properties for interior operator games
    Bilbao, J. M.
    Chacon, C.
    Jimenez-Losada, A.
    Lebron, E.
    ANNALS OF OPERATIONS RESEARCH, 2008, 158 (01) : 117 - 131
  • [4] Convexity properties for interior operator games
    J. M. Bilbao
    C. Chacón
    A. Jiménez-Losada
    E. Lebrón
    Annals of Operations Research, 2008, 158 : 117 - 131
  • [5] Operator approach to values of stochastic games with varying stage duration
    Sylvain Sorin
    Guillaume Vigeral
    International Journal of Game Theory, 2016, 45 : 389 - 410
  • [6] Operator approach to values of stochastic games with varying stage duration
    Sorin, Sylvain
    Vigeral, Guillaume
    INTERNATIONAL JOURNAL OF GAME THEORY, 2016, 45 (1-2) : 389 - 410
  • [7] VALUES IN DIFFERENTIAL GAMES
    ELLIOTT, RJ
    KALTON, NJ
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 78 (03) : 427 - &
  • [8] VALUES IN DIFFERENTIAL GAMES
    DANSKIN, JM
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (03) : 449 - 455
  • [9] AMERICAN GAMES AND VALUES
    TOWNSHEND, P
    CURRENT ANTHROPOLOGY, 1979, 20 (01) : 188 - 188
  • [10] Synchronous Values of Games
    Helton, J. William
    Mousavi, Hamoon
    Nezhadi, Seyed Sajjad
    Paulsen, Vern I.
    Russell, Travis B.
    ANNALES HENRI POINCARE, 2024, 25 (10): : 4357 - 4397