Promoting cooperation in public goods games is a long-standing problem in multiple branches of science. Reward is an effective means of promoting cooperation, but can be costly if distributed on a large scale or over long periods of time. Avoiding excessive costs is naturally of critical concern. We introduce group rewarding into public goods games and explore the impacts of such rewarding on cooperation. Cooperators are rewarded in small groups based on the number of members of cooperative groups and those members' contributions. We consider a control parameter whose adjustments lead to more cooperation while cutting costs. Simulations performed on square lattice show that group rewarding can cost-effectively lead to higher contributions to the public good. Depending on returns from the public good, which are determined by the value of the synergy factor, rewards can be kept manageable while still promoting cooperation. By running simulations on large lattices, we reveal that o...

中文翻译：

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团体奖励可以促进合作并节省公益游戏的成本

促进公益游戏的合作是多个科学领域的长期存在的问题。奖励是促进合作的有效手段，但是如果大规模或长期分配，奖励可能会很昂贵。避免过多的费用自然是至关重要的问题。我们将团体奖励引入公益游戏，并探索这种奖励对合作的影响。根据合作社成员的人数和成员的贡献，以小团体形式奖励合作者。我们考虑一个控制参数，其调整可导致更多合作，同时降低成本。在方格上进行的模拟显示，团体奖励可以经济有效地导致对公共物品的更大贡献。根据公共物品的回报，取决于协同作用的价值，在保持奖励的同时仍可促进合作。通过在大型晶格上运行模拟，我们可以发现...