Lattices of Games

被引:0
|
作者
Michael Henry Albert
Richard J. Nowakowski
机构
[1] University of Otago,Department of Computer Science
[2] Dalhousie University,Department of Mathematics & Statistics
来源
Order | 2012年 / 29卷
关键词
Combinatorial game; Distributive lattices;
D O I
暂无
中图分类号
学科分类号
摘要
We show that, for any set S of combinatorial games, the set of games all of whose immediate options belong to S forms a complete lattice. If every option of a game in S also lies in S, then this lattice is completely distributive.
引用
收藏
页码:75 / 84
页数:9
相关论文
共 50 条
  • [21] Cooperative behavior in evolutionary snowdrift games with the unconditional imitation rule on regular lattices
    Li, Ping-Ping
    Ke, Jianhong
    Lin, Zhenquan
    Hui, P. M.
    [J]. PHYSICAL REVIEW E, 2012, 85 (02):
  • [22] Diversity of interaction intensity enhances the cooperation of spatial multi-games on interdependent lattices
    Liu, Chengwei
    Wang, Juan
    Li, Xiaopeng
    Xia, Chengyi
    [J]. PHYSICS LETTERS A, 2020, 384 (36)
  • [23] Spatial prisoner’s dilemma games with increasing size of the interaction neighborhood on regular lattices
    WANG Juan1
    2 Key Laboratory of Computer Vision and System (Ministry of Education)
    3 School of Life Science
    4 Institute of Computer Network Systems
    [J]. Science Bulletin, 2012, (07) : 724 - 728
  • [24] Spatial prisoner's dilemma games with increasing size of the interaction neighborhood on regular lattices
    Wang Juan
    Xia ChengYi
    Wang YiLing
    Ding Shuai
    Sun JunQing
    [J]. CHINESE SCIENCE BULLETIN, 2012, 57 (07): : 724 - 728
  • [25] Spatial prisoner's dilemma games with increasing neighborhood size and individual diversity on two interdependent lattices
    Meng, Xiao-Kun
    Xia, Cheng-Yi
    Gao, Zhong-Ke
    Wang, Li
    Sun, Shi-Wen
    [J]. PHYSICS LETTERS A, 2015, 379 (08) : 767 - 773
  • [26] Parallel Lattices、Planar Lattices and Dismantlable Lattices
    李双杰
    魏利
    白瑞蒲
    [J]. 河北大学学报(自然科学版), 1997, (03) : 64 - 65
  • [27] ON CONGRUENCE LATTICES OF LATTICES
    PUDLAK, P
    [J]. ALGEBRA UNIVERSALIS, 1985, 20 (01) : 96 - 114
  • [28] IDEAL LATTICES OF LATTICES
    FREESE, R
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1975, 57 (01) : 125 - 133
  • [29] Embedding lattices into derived lattices
    Semenova, M. V.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 278 : S116 - S130
  • [30] Hochschild lattices and shuffle lattices
    Muehle, Henri
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2022, 103