Abstract

Encouraging cooperation among selfish individuals is crucial in many real-world systems, where individuals’ collective behaviors can be analyzed using evolutionary public goods game. Along this line, extensive studies have shown that reputation is an effective mechanism to investigate the evolution of cooperation. In most existing studies, participating individuals in a public goods game are assumed to contribute unconditionally into the public pool, or they can choose partners based on a common reputation standard (e.g., preferences or characters). However, to assign one reputation standard for all individuals is impractical in many real-world deployment. In this paper, we introduce a reputation tolerance mechanism that allows an individual to select its potential partners and decide whether or not to contribute an investment to the public pool based on its tolerance to other individuals’ reputation. Specifically, an individual takes part in a public goods game only if the number of participants with higher reputation exceeds the value of its tolerance. Moreover, in this paper, an individual’s reputation can increase or decrease in a bounded interval based on its historical behaviors. We explore the principle that how the reputation tolerance and conditional investment mechanisms can affect the evolution of cooperation in spatial lattice networks. Our simulation results demonstrate that a larger tolerance value can achieve an environment that promote the cooperation of participants.

Highlights

  • In collaborative and distributed systems, such as Internet of Things (IoT) and Peer to Peer (P2P) networks, autonomous individuals cooperate with each other to accomplish relatively complicated tasks for their reciprocity targets

  • We aim to evaluate the effects of reputation tolerance T, multiplication factor r, selectoin strength K, maximum reputation θ and initial distribution of strategies on the evolution of cooperation in a public goods game (PGG)

  • We proposed a reputation-based investment mechanism to investigate the evolution of cooperation in a spatial public goods game

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Summary

Introduction

In collaborative and distributed systems, such as Internet of Things (IoT) and Peer to Peer (P2P) networks, autonomous individuals cooperate with each other to accomplish relatively complicated tasks for their reciprocity targets. In this paper, an individual will determine whether or not to contribute investment into the public pool based on the individual’s private and heterogeneous tolerances about their neighbors’ reputation in a spatial lattice network. We present a reputation-based investment model in a public goods game, and investigate the evolutionary dynamics of cooperation in a spatial lattice network. Different from typical PGGs, here a cooperative player will conditionally contribute investment to the public pool based on other players’ reputation. In the spatial lattice network G(V, E), each player will participate in five PGGs. In each PGG, the total amount of investment in the public pool is multiplied by the multiplication factor r, and be distributed to all group members irrespective of their strategies. Egoistic players prefer to adopt the strategy of more successful neighbors [48,49,50]

22 Record the frequency of cooperation for each iteration
Experiments and Results
Conclusion
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