The analysis of evolutionary prisoner’s dilemma game based on weighting effect

Author(s):  
Xinting Hu ◽  
Mengyun Wu

In this paper, an improved evolutionary prisoner’s dilemma (PD) game model is proposed by considering the weighting effect. Taking into account individual’s perceived payoff (benefits), the evolutionary tendency of the cooperators and three equilibrium points of the proposed model are obtained. We then numerically investigate how different exterior and interior factors influence on individuals’ cooperative behavior and their payoff both in the ER random network and the BA scale-free network. Our results reveal that the heterogeneous network structure is conducive to cooperation. In addition, the existence of leader nodes is an important driving force for promoting individuals’ cooperation. By further analyzing the rationality coefficient which appears in the weighting function, we obtain that a greater of irrationality could lead more people to take cooperative strategies. Finally, two indicators which are used to measure the real average payoff and perceived average payoff are defined. The results show that the real average payoff and perceived average payoff are larger in the heterogeneity network than that in homogeneous network.

2009 ◽  
Vol 20 (03) ◽  
pp. 491-499
Author(s):  
ZHI-XUAN YANG ◽  
XUE-QING WANG ◽  
XIAO-LI HUANG ◽  
SHOU-LIANG BU

We further study the competition among loner, cooperative and defective strategies by considering an evolutionary prisoner's dilemma (PD) game with some troublemakers in the random network by means of Monte Carlo simulations. It can be observed that the frequency of cooperators (fc) decreases with increasing of loners' (e) and defectors' payoffs (b). In particular, fc has a sharp decline when the loners' payoffs approximate 1.0. In addition, we find that introduction of troublemaker strategies prevents the uniform defection in the spatial evolutionary PD games for large b values and small e values. In practice, it also prevents cooperative strategies and defective strategies from vanishing for large e values.


2020 ◽  
Author(s):  
M Testori ◽  
M Kempf ◽  
RB Hoyle ◽  
Hedwig Eisenbarth

© 2019 Hogrefe Publishing. Personality traits have been long recognized to have a strong impact on human decision-making. In this study, a sample of 314 participants took part in an online game to investigate the impact of psychopathic traits on cooperative behavior in an iterated Prisoner's dilemma game. We found that disinhibition decreased the maintenance of cooperation in successive plays, but had no effect on moving toward cooperation after a previous defection or on the overall level of cooperation over rounds. Furthermore, our results underline the crucial importance of a good model selection procedure, showing how a poor choice of statistical model can provide misleading results.


1984 ◽  
Vol 55 (3) ◽  
pp. 687-696 ◽  
Author(s):  
Rick M. Gardner ◽  
Terry L. Corbin ◽  
Janelle S. Beltramo ◽  
Gary S. Nickell

Cooperation in pairs of rats playing the prisoner's dilemma game was investigated. Six pairs of animals were taught to make either cooperative or uncooperative responses by running to one or the other end of a T-maze. Two T-mazes were joined together such that animals could respond simultaneously. Animals were run under conditions in which visual communication was present and absent. Mutually uncooperative responses were the most common and mutually cooperative behaviors the least preferred. Introduction of a barrier between the mazes, which removed visual communication between pairs, sharply accentuated uncooperative behavior. Similarities of the present findings to results with human subjects and the implications of using game theory for studying cooperative behavior in animals are discussed.


Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Josef Spurný ◽  
Ivan Kopeček ◽  
Radek Ošlejšek ◽  
Jaromír Plhák ◽  
Francesco Caputo

Purpose The aim of the paper is to analyze the impact of cooperativeness of managers who occupy central positions in interaction networks on the performance and stress levels of a whole organization. Design/methodology/approach To explore this relationship, a multi-parameter agent-based model is proposed which implements the prisoner’s dilemma game approach on a scale-free network in the NetLogo environment. A description of the socioeconomic aspects and the key concepts implemented in the model is provided. Stability and correctness have been tested through a series of validation experiments, including sensitivity analysis. The source code is available for further exploration and testing. Findings The simulations revealed that improving the stress resistance of all employees moderately increases organizational performance. Analyzing managers’ roles showed that increasing only the stress resistance of managers does not account for significantly higher overall performance. However, a substantial increase in organizational performance and a decrease in stress levels are achieved when managers are unconditionally cooperative. This effect is stronger for the lowered stress resistance of employees. Therefore, the willingness of managers to cooperate under all circumstances can be a key factor in achieving better performance and building a more pleasant, stress-free working environment. Originality/value This paper aims to present a model for analyzing cooperation, specifically in the organizational context, extending the prisoner’s dilemma with novel concepts and mechanisms. Although the results confirm the existing theories about the importance of central nodes in complex networks, they also provide further details on how the cooperative behavior of central nodes (i.e. the managers) might benefit the organization.


2019 ◽  
Vol 31 (4) ◽  
pp. 371-408
Author(s):  
Valerio Capraro ◽  
Joseph Y Halpern

In the past few decades, numerous experiments have shown that humans do not always behave so as to maximize their material payoff. Cooperative behavior when noncooperation is a dominant strategy (with respect to the material payoffs) is particularly puzzling. Here we propose a novel approach to explain cooperation, assuming what Halpern and Pass call translucent players. Typically, players are assumed to be opaque, in the sense that a deviation by one player in a normal-form game does not affect the strategies used by other players. However, a player may believe that if he switches from one strategy to another, the fact that he chooses to switch may be visible to the other players. For example, if he chooses to defect in Prisoner’s Dilemma, the other player may sense his guilt. We show that by assuming translucent players, we can recover many of the regularities observed in human behavior in well-studied games such as Prisoner’s Dilemma, Traveler’s Dilemma, Bertrand Competition, and the Public Goods game. The approach can also be extended to take into account a player’s concerns that his social group (or God) may observe his actions. This extension helps explain prosocial behavior in situations in which previous models of social behavior fail to make correct predictions (e.g. conflict situations and situations where there is a trade-off between equity and efficiency).


2010 ◽  
Vol 24 (25) ◽  
pp. 2581-2589 ◽  
Author(s):  
WEN-BO DU ◽  
HONG ZHOU ◽  
ZHEN LIU ◽  
XIAN-BIN CAO

The evolutionary game on graphs provides a natural framework to investigate the cooperation behavior existing in natural and social society. In this paper, degree-based pinning control and random pinning control are introduced into the evolutionary prisoner's dilemma game on scale-free networks, and the effects of control mechanism and control cost on the evolution are studied. Numerical simulation shows that forcing some nodes to cooperate (defect) will increase (decrease) the frequency of cooperators. Compared with random pinning control, degree-based pinning control is more efficient, and degree-based pinning control costs less than random pinning control to achieve the same goal. Numerical results also reveal that the evolutionary time series is more stable under pinning control mechanisms, especially under the degree-based pinning control.


Author(s):  
REIJI SUZUKI ◽  
TAKAYA ARITA

The purpose of this paper is to consider the effects of spatial locality on the evolution of cooperative behavior in the N-person iterated Prisoner's Dilemma (N-IPD) by focusing on two essentially distinct factors: the scale of interaction (which decides the neighboring members playing the N-person games) and the scale of reproduction (which decides the neighboring candidates for an offspring in each cell). We conducted evolutionary experiments of strategies for one-dimensional N-IPD game with various settings of these two factors. Experimental results revealed that these two factors bring qualitatively different effects to the emergence of cooperative behavior. Furthermore, we investigated the dynamics of the evolution of spatial locality in N-IPD. When we introduced the evolution of the scale of interaction into our model, the dynamic evolution of the scale of interaction through generation facilitated the emergence of global cooperation when the scale of reproduction was relatively small. Experiments with the evolution of the scale of reproduction are also discussed.


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