Leaders should not be conformists in evolutionary social dilemmas

Szolnoki, Attila; Perc, Matjaž

doi:10.1038/srep23633

Cited by 120 publications

(61 citation statements)

References 80 publications

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“…Particularly interesting possibilities have been recently studied in Refs. [24][25][26][27][28], and the systems may perhaps develop behavior similar to the ones shown in Fig. 9, if they can be controlled to cease biodiversity.…”

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confidence: 99%

Hamming distance and mobility behavior in generalized rock-paper-scissors models

Bazeia¹,

Menezes²,

Oliveira³

et al. 2017

EPL

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-This work reports on two related investigations of stochastic simulations which are widely used to study biodiversity and other related issues. We first deal with the behavior of the Hamming distance under the increase of the number of species and the size of the lattice, and then investigate how the mobility of the species contributes to jeopardize biodiversity. The investigations are based on the standard rules of reproduction, mobility and predation or competition, which are described by specific rules, guided by generalization of the rock-paper-scissors game, valid in the case of three species. The results on the Hamming distance indicate that it engenders universal behavior, independently of the number of species and the size of the square lattice. The results on the mobility confirm the prediction that it may destroy diversity, if it is increased to higher and higher values.Introduction. -Despite the many ways to study complex systems, stochastic simulations represent an important tool that has been largely used to investigate collective behavior in nature. The procedure is based on a set of simple rules that are assessed randomly and, in particular, has been employed to model and understand biodiversity in nature; see, e.g., Refs. [1-11] and references therein.In this work we deal with generalized rock-paper-scissors models to describe stochastic network simulations of the May and Leonard type [3,6]. We consider a square lattice of size N × N and follow three recent investigations, the first [8] describing how local dispersal may promote biodiversity in a real-life game, in which the predictions based on the rock-paper-scissors rules are empirically tested using a non-transitive model community containing three populations of Escherichia coli, the second [10] suggesting that population mobility may be central feature to describe real ecosystems, and the third [12] that shows how to use the Hamming distance [13] to unveil the presence

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confidence: 99%

Hamming distance and mobility behavior in generalized rock-paper-scissors models

Bazeia¹,

Menezes²,

Oliveira³

et al. 2017

EPL

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“…If player i adopts a cooperation strategy, then , otherwise . We focus on the weak prisoner’s dilemma3334. For simplicity, we rescale the payoff matrix for the PDG to be R = 1, S = 0 and P = 0.…”

Section: Methodsmentioning

confidence: 99%

The co-evolution of networks and prisoner’s dilemma game by considering sensitivity and visibility

Han

et al. 2017

Sci Rep

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Strategies adopted by individuals in a social network significantly impact the network, and they strongly affect relationships between individuals in the network. Links between individuals also heavily influence their levels of cooperation. Taking into account the evolution of each individual’s connection, we explore how sensitivity and visibility affect the prisoner’s dilemma game. The so-called ‘sensitivity’ and ‘visibility’ respectively present one’s self-protection consciousness and the ability of gaining information. We find that at moderate levels of player sensitivity cooperative behavior increases, but that at high levels it is inhibited. We also find that the heterogeneity of the weight of individuals at the end of the game is higher when sensitivity and visibility are increased, but that the successful-defection-payoff has less impact on the weight of individuals and on the relationship between the heterogeneity of the weight of individuals and the density of cooperators. This framework can be used to clarify the interaction mechanism between the micro-level of individual behavior and the macro-level of individual co-evolutionary processes.

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“…Nowadays, the importance of the dynamic games has been fully recognized [1][2][3][4][5][6][7][8][9] . For the most of dynamic games, the number of players participating at each time in the game and the time interval, in which the players are involved, in the game are fixed.…”

Section: Introductionmentioning

confidence: 99%

A matrix approach to modeling and optimization for dynamic games with random entrance

Zhao

Wang

2016

Applied Mathematics and Computation

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Leaders should not be conformists in evolutionary social dilemmas

Cited by 120 publications

References 80 publications

Hamming distance and mobility behavior in generalized rock-paper-scissors models

Hamming distance and mobility behavior in generalized rock-paper-scissors models

The co-evolution of networks and prisoner’s dilemma game by considering sensitivity and visibility

A matrix approach to modeling and optimization for dynamic games with random entrance

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