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Evolutionary minority games with small-world interactions

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  • Kirley, Michael

Abstract

In the evolutionary minority game (EMG), agents compete for a limited resource and are rewarded if they correctly select the minority behaviour. At each time step, agents make their decision based on the aggregate history of past moves and an internal parameter—the probability that the individual follows the given strategy. In this study, the effects of strategic imitation among agents are examined. Here, I combine and extend previous work using local information transmission mechanisms to promote coordination in the population. Extensive numerical simulations using different network architectures, ranging from regular lattices to random networks, are used to investigate the population dynamics. The results suggest that agents sharing information in small-world networks can coordinate their behaviour more effectively than agents playing the standard EMG. However, both the network re-wiring probability and level of imitation significantly impact on performance.

Suggested Citation

  • Kirley, Michael, 2006. "Evolutionary minority games with small-world interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 521-528.
  • Handle: RePEc:eee:phsmap:v:365:y:2006:i:2:p:521-528
    DOI: 10.1016/j.physa.2005.10.002
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    References listed on IDEAS

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    Cited by:

    1. Lustosa, Bernardo C. & Cajueiro, Daniel O., 2010. "Constrained information minority game: How was the night at El Farol?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1230-1238.
    2. Xin-Jie Zhang & Yong Tang & Jason Xiong & Wei-Jia Wang & Yi-Cheng Zhang, 2018. "Dynamics of Cooperation in Minority Games in Alliance Networks," Sustainability, MDPI, vol. 10(12), pages 1-17, December.
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    4. Park, Daehyeon & Ryu, Doojin & Webb, Robert I., 2024. "Fear of missing out and market stability: A networked minority game approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).

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