ArticleJournal of the Royal Society, Interface2023
Optimization of institutional incentives for cooperation in structured populations.
Article in Journal of the Royal Society, Interface, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Article
- Effect of emotional migration on Cooperation for public goods games on continuous two-dimensional space.Scientific reports · 2025Article
- Evolutionary dynamics of trust in hierarchical populations with varying investment strategies.Journal of the Royal Society, Interface · 2025Article
- Cooperative evolution with reward-based heterogeneous tax in spatial public goods games.iScience · 2025Article
- Revisiting institutional punishment in the N-person prisoner's dilemma.Theory in biosciences = Theorie in den Biowissenschaften · 2025Article
- Article
- Cost Optimisation of Individual-Based Institutional Reward Incentives for Promoting Cooperation in Finite Populations.Bulletin of mathematical biology · 2024Article
- Discipline and punishment in panoptical public goods games.Scientific reports · 2024Article
- Optimization of institutional incentives for cooperation in structured populations.Journal of the Royal Society, Interface · 2023Article
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Authors and funding
5 authors.
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Abstract
The application of incentives, such as reward and punishment, is a frequently applied way for promoting cooperation among interacting individuals in structured populations. However, how to properly use the incentives is still a challenging problem for incentive-providing institutions. In particular, since the implementation of incentive is costly, to explore the optimal incentive protocol, which ensures the desired collective goal at a minimal cost, is worthy of study. In this work, we consider the positive and negative incentives for a structured population of individuals whose conflicting interactions are characterized by a Prisoner's Dilemma game. We establish an index function for quantifying the cumulative cost during the process of incentive implementation, and theoretically derive the optimal positive and negative incentive protocols for cooperation on regular networks. We find that both types of optimal incentive protocols are identical and time-invariant. Moreover, we compare the optimal rewarding and punishing schemes concerning implementation cost and provide a rigorous basis for the usage of incentives in the game-theoretical framework. We further perform computer simulations to support our theoretical results and explore their robustness for different types of population structures, including regular, random, small-world and scale-free networks.
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