Volume 110, Number 3, May 2015
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||18 May 2015|
Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
1 Institute of Technical Physics and Materials Science, Centre for Energy Research, Hungarian Academy of Sciences P.O. Box 49, H-1525 Budapest, Hungary
2 Faculty of Natural Sciences and Mathematics, University of Maribor - Koroška cesta 160, SI-2000 Maribor, Slovenia
3 Department of Physics, Faculty of Sciences, King Abdulaziz University - Jeddah, Saudi Arabia
4 CAMTP - Center for Applied Mathematics and Theoretical Physics, University of Maribor Krekova 2, SI-2000 Maribor, Slovenia
Received: 28 March 2015
Accepted: 28 April 2015
Knowing the strategy of an opponent in a competitive environment conveys obvious evolutionary advantages. But this information is costly, and the benefit of being informed may not necessarily offset the additional cost. Here we introduce social dilemmas with informed strategies, and we show that this gives rise to two cyclically dominant triplets that form defensive alliances. The stability of these two alliances is determined by the rotation velocity of the strategies within each triplet. A weaker strategy in a faster rotating triplet can thus overcome an individually stronger competitor. Fascinating spatial patterns favor the dominance of a single defensive alliance, but enable also the stable coexistence of both defensive alliances in very narrow regions of the parameter space. A continuous reentrant phase transition reveals before unseen complexity behind the stability of strategic alliances in evolutionary social dilemmas.
PACS: 87.23.Kg – Dynamics of evolution / 87.23.Cc – Population dynamics and ecological pattern formation / 89.65.-s – Social and economic systems
© EPLA, 2015
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