The Prisoner’s Dilemma with Image Scoring on Networks: How Does a Player’s Strategy Depend on Its Place in the Social Network?

Author(s):  
Markus Brede
Author(s):  
Jie Lu ◽  
Peipei Zhang ◽  
Dandan Li

To remember or forget our acquaintances’ strategies can influence our decision-making significantly. In this paper, we explore the evolutionary prisoner’s dilemma (PD) game model with punishment and memory mechanism in the time-varying network. Our results show that a larger temptation gain [Formula: see text] or a larger the number of connected edges of activated individuals [Formula: see text] would result in the decrease of the final fraction of cooperators. However, with the increase of the maximum penalty cost, the maximum punishment intensity or the value of individual’s “memory factor”, players are more inclined to choose cooperative strategy. In addition, an effective way to promote the cooperation is to improve the social subsidy. Remarkably, only when the social subsidy is greater than the temptation gain, the density of cooperators could increase significantly. Interestingly, there is a linear relationship between the threshold of social subsidy and the temptation gain. The final results show that ones’ activity rates have no significant correlation with their strategies.


2020 ◽  
Vol 3 (1) ◽  
pp. p39
Author(s):  
Leehu Zysberg

In the popular media and from time to time in the social science literature, voices are heard describing a process of social disintegration and the deterioration of common values in western societies. What may account for this fragmentation? This article uses the theoretical framework of the prisoner’s dilemma to conceptualize the phenomenon, analyze its causes and processes, and to try and outline directions for dealing with it, using processes and data regarding the Israeli society in recent years.


2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Wang Liming ◽  
Feng Wu

We study the effects of empty sites in the prisoner’s dilemma game based on social diversity by introducing some empty sites into a square lattice. The results reveal that the empty sites dramatically enhance the cooperation level for a wide range of temptation to defection values if two types of players coexist. By calculating the chances of different type-combinations of the players located on the square lattice, we find that there is an intermediate region where five social ranks are induced to satisfy the certain rank distributions and the cooperation level is significantly enhanced. Moreover, simulation results also show that the moderate gaps among the social ranks can favor cooperation for a larger occupation density.


2021 ◽  
Vol 8 (2) ◽  
pp. 200910
Author(s):  
Flávio L. Pinheiro ◽  
Jorge M. Pacheco ◽  
Francisco C. Santos

The exploration of different behaviours is part of the adaptation repertoire of individuals to new environments. Here, we explore how the evolution of cooperative behaviour is affected by the interplay between exploration dynamics and social learning, in particular when individuals engage on prisoner’s dilemma along the edges of a social network. We show that when the population undergoes a transition from strong to weak exploration rates a decline in the overall levels of cooperation is observed. However, if the rate of decay is lower in highly connected individuals (Leaders) than for the less connected individuals (Followers) then the population is able to achieve higher levels of cooperation. Finally, we show that minor differences in selection intensities (the degree of determinism in social learning) and individual exploration rates, can translate into major differences in the observed collective dynamics.


1981 ◽  
Vol 29 (3) ◽  
pp. 339-351 ◽  
Author(s):  
Iain McLean

The familiar problem of whether Hobbesian men in the state of nature would ever abide by an agreement to obey a Sovereign is a version of the puzzle now known as ‘Prisoner's Dilemma’. The present paper has the following aims: (1) To establish that the game-theory approach is a legitimate way to study Hobbes. (2) To see whether a proposed ‘solution’ to the paradox of Prisoner's Dilemma applies to this example. The paradox is that individually rational self-interested calculations sum to an outcome that is suboptimal not only for society but also for every single member of it. The solution is the Supergame which consists of indefinitely repeated plays of the simple Prisoner's Dilemma game. (3) To compare the results of the above with the similar conclusions reached by a different route by recent arguments in sociobiology.


2016 ◽  
Vol 30 (04) ◽  
pp. 1650029 ◽  
Author(s):  
Zhipeng Wang ◽  
Miao Li ◽  
Dan Wang ◽  
Qinghe Chen

The introduction of extortion strategy has attracted much attention since it dominates any evolutionary opponent in iterated prisoner’s dilemma games. Despite several studies argue that extortion is difficult to survive under strategy imitation and birth–death updating rules in well-mixed populations, it has recently been proven that a myopic best response rule facilitate the evolution of cooperation and extortion. However, such updating rules require a strong assumption of complete knowledge of all players, which is unlikely to hold in social networks in reality. To solve this problem, we introduce the concept of social influence into the model to limit players’ knowledge within their neighborhood. It turns out that this myopia initiated by social influence prevents players from observing superior strategies and therefore enables cooperators and extortioners to be evolutionarily stable. We also suggest that heterogeneous networks contribute to the evolution of cooperation and extortion under such social influence.


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