Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore

被引：0

作者：

Hwang, Yan-An ^{[1
]}

Liao, Yu-Hsien ^{[2
]}

机构：

[1] Natl Dong Hwa Univ, Dept Appl Math, Hualien 974, Taiwan

[2] Natl Pingtung Univ, Dept Appl Math, Pingtung 900, Taiwan

来源：

MATHEMATICS | 2023年 / 11卷 / 13期

关键词：

the precore; the dominance core; non-emptiness; reduction; SUFFICIENT CONDITION; CORE; GAMES;

D O I：

10.3390/math11132812

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Taking into account the definition of the precore, we initially analyze its non-emptiness using duality results from linear programming theory. We then introduce the dominance core to investigate the coincident relations between the precore and dominance core. Finally, we propose specific reduction approaches to axiomatize the precore.

引用

页数：12

共 20 条

[1] Decomposing a balanced game: A necessary and sufficient condition for the nonemptiness of the core
Abe, Takaaki
[J]. ECONOMICS LETTERS, 2019, 176 : 9 - 13
[2] [Anonymous], 1963, Problemy Kybernetiki
[3] Non-emptiness of the alpha-core: sufficient and necessary conditions
Basile, Achille
Scalzo, Vincenzo
[J]. INTERNATIONAL JOURNAL OF GAME THEORY, 2020, 49 (04) : 1143 - 1153
[4] Cesco J.C., 2009, INT GAME THEORY REV, V11, P383, DOI [10.1142/S0219198909002376, DOI 10.1142/S0219198909002376]
[5] Chang C, 2000, NAV RES LOG, V47, P455, DOI 10.1002/1520-6750(200008)47:5<455::AID-NAV6>3.0.CO
[6] 2-D
[7] The supreme-core on multicriteria fuzzy games
Chen, Kelvin H-C
Wei, Hui-Chuan
Li, Ai-Tzu
Wang, Wei-Ni
Liao, Yu-Hsien
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (02) : 1753 - 1760
[8] KERNEL OF A COOPERATIVE GAME
DAVIS, M
MASCHLER, M
[J]. NAVAL RESEARCH LOGISTICS QUARTERLY, 1965, 12 (3-4): : 223 - &
[9] Hwang YA, 2005, ECON BULL, V3
[10] Consistent extensions and subsolutions of the core for the multichoice transferable-utility games
Hwang, Yan-An
Liao, Yu-Hsien
Yeh, Chun-Hsien
[J]. OPTIMIZATION, 2015, 64 (04) : 913 - 928

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