scholarly journals Nodes with the highest control power play an important role at the final level of cooperation in directed networks

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ali Ebrahimi ◽  
Marzieh Yousefi ◽  
Farhad Shahbazi ◽  
Mohammad Ali Sheikh Beig Goharrizi ◽  
Ali Masoudi-Nejad

AbstractControllability of complex networks aims to seek the lowest number of nodes (the driver nodes) that can control all the nodes by receiving the input signals. The concept of control centrality is used to determine the power of each node to control the network. The more a node controls the nodes through connections in the network, the more it has the power to control. Although the cooperative and free-rider strategies and the final level of cooperation in a population are considered and studied in the public goods game. However, it is yet to determine a solution to indicate the effectiveness of each member in changing the strategies of the other members. In a network, the choice of nodes effective in changing the other nodes’ strategies, as free-riders, will lead to lower cooperation and vice versa. This paper uses simulated and real networks to investigate that the nodes with the highest control power are more effective than the hubs, local, and random nodes in changing the strategies of the other nodes and the final level of cooperation. Results indicate that the nodes with the highest control power as free-riders, compared to the other sets being under consideration, can lead to a lower level of cooperation and are, therefore, more effective in changing the strategies of the other nodes. The obtained results can be considered in the treatment of cancer. So that, destroying the tumoral cells with the highest control power should be a priority as these cells have a higher capability to change the strategies of the other cells from cooperators to free-riders (healthy to tumoral).

2021 ◽  
Author(s):  
Ali Ebrahimi ◽  
Marzieh Yousefi ◽  
Farhad Shahbazi ◽  
Ali Masoudi-Nejad

Abstract Controllability of complex networks seeks the lowest number of nodes (driver nodes) that controlling all nodes by receiving input signals. The concept of control centrality is used to determine the power of each nodes in the control of the network. The more nodes a node controls through connections in the network, the more the power to control. In the public goods game, cooperative and free-rider strategies are considered and the final level of cooperation in a population is studied. However, it is yet to determine a solution for indicating the effectiveness of each member to change other member's strategies. In a network, the choice of nodes effective in changing other nodes strategy, as free-riders, will lead to lower cooperation and vice versa. This paper uses simulated and real networks to investigate the effectiveness of nodes with the highest control power in changing other nodes strategies and the final level of cooperation compared to the hubs, local, and random nodes. Results indicate that choosing the nodes with the highest control power as free-riders will lead to a lower level of cooperation and is, therefore, more effective in changing the strategies of other nodes, compared to other sets in consideration. This result can be considered in the treatment of cancer; with the explanation that, destroying tumoral cells with the highest control power should be a priority as these cells have a higher capability in changing the strategy of other cells from cooperators to free-riders (healthy to tumoral).


2015 ◽  
Vol 282 (1816) ◽  
pp. 20151975 ◽  
Author(s):  
Attila Szolnoki ◽  
Matjaž Perc

Rewarding cooperation is in many ways expected behaviour from social players. However, strategies that promote antisocial behaviour are also surprisingly common, not just in human societies, but also among eusocial insects and bacteria. Examples include sanctioning of individuals who behave prosocially, or rewarding of free-riders who do not contribute to collective enterprises. We therefore study the public goods game with antisocial and prosocial pool rewarding in order to determine the potential negative consequences on the effectiveness of positive incentives to promote cooperation. Contrary to a naive expectation, we show that the ability of defectors to distribute rewards to their like does not deter public cooperation as long as cooperators are able to do the same. Even in the presence of antisocial rewarding, the spatial selection for cooperation in evolutionary social dilemmas is enhanced. Since the administration of rewards to either strategy requires a considerable degree of aggregation, cooperators can enjoy the benefits of their prosocial contributions as well as the corresponding rewards. Defectors when aggregated, on the other hand, can enjoy antisocial rewards, but due to their lack of contributions to the public good they ultimately succumb to their inherent inability to secure a sustainable future. Strategies that facilitate the aggregation of akin players, even if they seek to promote antisocial behaviour, thus always enhance the long-term benefits of cooperation.


Games ◽  
2021 ◽  
Vol 12 (3) ◽  
pp. 63
Author(s):  
Ramzi Suleiman ◽  
Yuval Samid

Experiments using the public goods game have repeatedly shown that in cooperative social environments, punishment makes cooperation flourish, and withholding punishment makes cooperation collapse. In less cooperative social environments, where antisocial punishment has been detected, punishment was detrimental to cooperation. The success of punishment in enhancing cooperation was explained as deterrence of free riders by cooperative strong reciprocators, who were willing to pay the cost of punishing them, whereas in environments in which punishment diminished cooperation, antisocial punishment was explained as revenge by low cooperators against high cooperators suspected of punishing them in previous rounds. The present paper reconsiders the generality of both explanations. Using data from a public goods experiment with punishment, conducted by the authors on Israeli subjects (Study 1), and from a study published in Science using sixteen participant pools from cities around the world (Study 2), we found that: 1. The effect of punishment on the emergence of cooperation was mainly due to contributors increasing their cooperation, rather than from free riders being deterred. 2. Participants adhered to different contribution and punishment strategies. Some cooperated and did not punish (‘cooperators’); others cooperated and punished free riders (‘strong reciprocators’); a third subgroup punished upward and downward relative to their own contribution (‘norm-keepers’); and a small sub-group punished only cooperators (‘antisocial punishers’). 3. Clear societal differences emerged in the mix of the four participant types, with high-contributing pools characterized by higher ratios of ‘strong reciprocators’, and ‘cooperators’, and low-contributing pools characterized by a higher ratio of ‘norm keepers’. 4. The fraction of ‘strong reciprocators’ out of the total punishers emerged as a strong predictor of the groups’ level of cooperation and success in providing the public goods.


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).


2021 ◽  
Vol 94 (11) ◽  
Author(s):  
Tetsushi Ohdaira

Abstract In the previous studies, the author proposes the payoff-difference-based probabilistic peer-punishment that the probability of punishing a defector increases as the difference of payoff between a player and a defector increases and shows that the proposed peer-punishment effectively increases the number of cooperators and the average payoff of all players. On the other hand, reward as well as punishment is considered to be a mechanism promoting cooperation, and many studies have discussed the effect of reward in the public goods game, a multiplayer version of the prisoner’s dilemma game. Based on the discussion of those existing studies, this study introduces the payoff-difference-based probabilistic reward that the probability of rewarding a cooperator increases as the difference of payoff between a player and a cooperator increases. The author utilizes the framework of the spatial prisoner’s dilemma game of the previous study and shows that the reward of this study realizes the evolution of cooperation except some cases. Graphic abstract


2012 ◽  
Vol 26 (3) ◽  
pp. 245-254 ◽  
Author(s):  
Benjamin E. Hilbig ◽  
Ingo Zettler ◽  
Timo Heydasch

Contributions in the public goods game—a classical social dilemma situation—have been shown to depend strongly on the presence versus absence of punishment or sanctions for free riders. Also, there appear to be noteworthy individual differences in the degree to which decision makers cooperate. Herein, we aimed to bring these two lines of research together. Firstly, we predicted that both presence of punishment and high dispositional Honesty–Humility (as conceptualized in the Honesty–Humility, Emotionality, eXtraversion, Agreeableness, Conscientiousness, Openness to experience model of personality) should yield higher contributions. Secondly, and more importantly, we expected an interaction, such that only those low in Honesty–Humility would condition their behaviour on the presence versus absence of punishment, thus employing cooperation strategically. In line with the hypothesis, the results of two experiments (one of which comprised a longitudinal design) corroborated that the degree to which decision makers shift towards higher contributions when punishment is introduced depends on their dispositional level of Honesty–Humility. Copyright © 2011 John Wiley & Sons, Ltd.


PLoS ONE ◽  
2021 ◽  
Vol 16 (8) ◽  
pp. e0254860
Author(s):  
Mohammad Salahshour

A large body of empirical evidence suggests that altruistic punishment abounds in human societies. Based on such evidence, it is suggested that punishment serves an important role in promoting cooperation in humans and possibly other species. However, as punishment is costly, its evolution is subject to the same problem that it tries to address. To suppress this so-called second-order free-rider problem, known theoretical models on the evolution of punishment resort to one of the few established mechanisms for the evolution of cooperation. This leaves the question of whether altruistic punishment can evolve and give rise to the evolution of cooperation in the absence of such auxiliary cooperation-favoring mechanisms unaddressed. Here, by considering a population of individuals who play a public goods game, followed by a public punishing game, introduced here, we show that altruistic punishment indeed evolves and promotes cooperation in the absence of a cooperation-favoring mechanism. In our model, the punishment pool is considered a public resource whose resources are used for punishment. We show that the evolution of a punishing institution is facilitated when resources in the punishment pool, instead of being wasted, are used to reward punishers when there is nobody to punish. Besides, we show that higher returns to the public resource or punishment pool facilitate the evolution of prosocial instead of antisocial punishment. We also show that an optimal cost of investment in the punishment pool facilitates the evolution of prosocial punishment. Finally, our analysis shows that being close to a physical phase transition facilitates the evolution of altruistic punishment.


Author(s):  
Herbert Gintis

The folk theorem requires that each action taken by each player carry a signal that is conveyed to the other players. A signal is imperfect if all players receive the same signal; the signal is perfect if it accurately reports the player's action. The question of the signal quality required to obtain efficient cooperation is especially critical when the size of the game is considered. Generally, the folk theorem does not even mention the number of players, but in most situations in real life, the larger the number of players participating in a cooperative endeavor, the lower the average quality of the cooperation vs. defection signal because generally a player observes only a small number of other players with a high degree of accuracy, however large the group involved. This chapter explores this issue and illustrates the problem by applying the Fudenberg et al. (1994) framework to the Public Goods Game, which in many respects is representative of contexts for cooperation in humans.


2016 ◽  
Vol 8 (4) ◽  
pp. 268-308 ◽  
Author(s):  
Marco Battaglini ◽  
Salvatore Nunnari ◽  
Thomas R. Palfrey

We report the results of an experiment that investigates free riding in the accumulation of durable public goods. We consider economies with reversibility, where contributions can be positive or negative; and economies with irreversibility, where contributions are nonnegative. Aggregate outcomes support the qualitative predictions of the Markov Perfect Equilibria (MPE) characterized in Battaglini, Nunnari, and Palfrey (2014): steady state levels of public good are lower with reversibility than irreversibility; accumulation is inefficiently slow; and the public good is under-provided in both regimes. On the other hand, public good levels are higher than MPE, and some evidence of history dependence is detected. (JEL C91, H41)


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