Passive network evolution promotes group welfare in complex networks

Abstract

The Parrondo's paradox is a counter-intuitive phenomenon in which individually losing strategies, canonically termed Game A and Game B, are combined to produce winning outcomes. In this paper, a co-evolution of game dynamics and network structure is adopted to study adaptability and survivability in multi-agent dynamics. The model includes Action A, representing a rewiring process on the network, and a two-branch Game B, representing redistributive interactions between agents. Simulation results indicate that stochastically mixing Action A and Game B can produce enhanced, and even winning outcomes, despite Game B being individually losing. In other words, a Parrondo-type paradox can be achieved, but unlike canonical variants, the source of agitation is provided by passive network evolution instead of an active second game. The underlying paradoxical mechanism is analyzed, revealing that the rewiring process drives a topology shift from initial regular lattices towards scale-free characteristics, and enables exploitative behavior that grants enhanced access to the favourable branch of Game B.

Relieving Cost of Epidemic by Parrondo's Paradox: A COVID‐19 Case Study

“…It has since been applied across a wide range of disciplines in the physical sciences and engineering-related fields, [34,35] such as diffusive and granular flow dynamics, [36,37] information thermodynamics, [38][39][40] chaos theory, [41][42][43][44][45][46][47] switching problems, [48][49][50] and quantum phenomena. [51][52][53][54][55][56][57] The paradox has also found numerous applications in life science, [58][59][60][61][62] ecology and evolutionary biology, [63][64][65] social dynamics, [66][67][68][69][70] and interdisciplinary work. [71] In this paper, we propose a compartmental population model, which we call the SIADE model, that takes into account the health and well-being of the population, as well as economic impacts.…”

Generate two-dimensional belief function based on an improved similarity measure of trapezoidal fuzzy numbers

“…All these factors contribute Communicated by Leonardo Tomazeli Duarte. to the uncertainty of information to some extent. There are many powerful mathematical frameworks are established to handle uncertain information, Such as the extended probability theory , fuzzy sets (Zadeh 1965(Zadeh , 2008, Dempster-Shafer evidence theory (DS evidence theory) (Dempster 1967;Shafer 1976), D numbers (Chatterjee et al 2018b;Liu and Deng 2019), rough sets (Chatterjee et al 2018a;Fujita et al 2019), granular computing (Fujita et al 2018a, b), Quantum decision-making (Tan et al 2020; and complex network (Fan et al 2020;Wen et al 2020;Ye et al 2020). Due to the unavoidability of uncertainty in real world, many methods have been presented and applied in various fields, such as classification (Xiao 2019;Maldonado et al 2019), medical diagnosis (Cao et al 2019a, b), decision making (Garg and Chen 2020;Song et al 2019), information fusion Tan and Cheong 2018;Song et al 2020), industrial alarm system (Xu et al 2018), and reliability evaluation (Song et al 2018).…”

Generalized Solutions of Parrondo's Games

“…[15,16] Quantum paradoxical systems have also been studied, some suggesting implications on quantum information processing, [17] and algorithms exploiting the paradox have been devised for engineering optimization. [18,19] In biophysics, evolutionary processes, [20][21][22][23][24][25] population biology, [26] ecological dynamics, [27][28][29] cellular machinery, [30][31][32] and social behavior [33][34][35] have all been linked to the paradox, and a degree of universality across scales is suspected. [36] The seminal results in genetics include the possibility of proliferation and fixation of lower-fitness autosomal alleles amidst antagonistic selection and epistasis, [37] and selection for random phase variation [23,38] and phenotypic switching [24,25] in microorganisms, despite the strategy being likely locally maladaptive; in ecological systems, environmental fluctuations have been shown to enable the persistence of rare species in invaded habitats.…”