Phase transitions for rock-scissors-paper game on different networks

被引:74
|
作者
Szolnoki, Attila [1 ]
Szabó, György [1 ]
机构
[1] Res. Inst. Tech. Phys. and Mat. Sci., P.O. Box 49, H-1525 Budapest, Hungary
来源
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2004年 / 70卷 / 3 2期
关键词
Algorithms - Annealing - Approximation theory - Bifurcation (mathematics) - Computer simulation - Estimation - Graph theory - Mathematical models - Monte Carlo methods - Phase diagrams;
D O I
10.1103/PhysRevE.70.037102
中图分类号
学科分类号
摘要
The effect of phase transitions for rock-scissor-paper game on different host networks was analyzed using Monte Carlo simulations and dynamical mean-field approximations. The system exhibited two subsequent transitions, self-organizing patterns and global oscillation, if the transition was increased. It was found that the transition point depends on the dimension d of the original lattice. The results show that the value of clustering coefficient is irrelevant in the emergence of a global oscillating phase.
引用
收藏
页码:037102 / 1
相关论文
共 50 条
  • [21] A robot designed to play the game "Rock, Paper, Scissors"
    Hasuda, Yuko
    Ishilbashi, Shintaro
    Kozuka, Hiroaki
    Okano, Hideharu
    Ishikawa, Jyun
    2007 IEEE INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS, PROCEEDINGS, VOLS 1-8, 2007, : 2065 - +
  • [22] Formalizing Opponent Modeling with the Rock, Paper, Scissors Game
    Brockbank, Erik
    Vul, Edward
    GAMES, 2021, 12 (03):
  • [23] STOPPING TIMES IN THE GAME ROCK-PAPER-SCISSORS
    Jeong, Kyeonghoon
    Yoo, Hyun Jae
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (06) : 1497 - 1510
  • [24] A genetic approach to the rock-paper-scissors game
    Barreto, Wendell P.
    Marquitti, Flavia M. D.
    de Aguiar, Marcus A. M.
    JOURNAL OF THEORETICAL BIOLOGY, 2017, 421 : 146 - 152
  • [25] Human Randomness in the Rock-Paper-Scissors Game
    Komai, Takahiro
    Kurokawa, Hiroaki
    Kim, Song-Ju
    APPLIED SCIENCES-BASEL, 2022, 12 (23):
  • [26] Rock-Paper-Scissors Game against Computer
    Tekeli, Nihat
    Ogul, Burcin Buket
    Duygulu, Pinar
    2016 24TH SIGNAL PROCESSING AND COMMUNICATION APPLICATION CONFERENCE (SIU), 2016, : 489 - 492
  • [27] The game of Rock-Paper Scissors between two teams
    Cho, Daehyeon
    KOREAN JOURNAL OF APPLIED STATISTICS, 2019, 32 (02) : 277 - 289
  • [28] MODELS OF THE POPULATION PLAYING THE ROCK-PAPER-SCISSORS GAME
    Bak, Wlodzimierz
    Nadzieja, Tadeusz
    Wrobel, Mateusz
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (01): : 1 - 11
  • [29] Predictive Systems: The Game Rock-Paper-Scissors as an Example
    Zink, Mathias
    Friemann, Paulina
    Ragni, Marco
    PRICAI 2019: TRENDS IN ARTIFICIAL INTELLIGENCE, PT I, 2019, 11670 : 514 - 526
  • [30] An actuarial artificial intelligence for the game rock-paper-scissors
    Jordan, Michael B.
    SOUTH AFRICAN JOURNAL OF SCIENCE, 2016, 112 (5-6) : 6 - 8