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August 10, 2026Applied Mathematics and ComputationOpen Access

Social welfare optimisation under institutional reward and punishment

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Authors

VNVan An NguyenVHVuong Khang HuynhHBHuu Loi Bui

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Overview

This theoretical exploration derives conditions for maximizing social welfare in cooperative multi-agent systems, focusing on institutional incentives.

Key Points

  • This research aims to develop a framework for understanding how institutional incentives can maximize social welfare in cooperative scenarios.
  • Developed a welfare-centric framework for social dilemmas such as the Donation Game and Public Goods Game.
  • Derived expressions for expected social welfare based on rewards for cooperators and punishments for defectors.
  • Identified parameter regimes for optimal incentive levels and phase transitions in welfare dynamics.
  • Outlined conditions under which rewards outperform punishments for social welfare within a given budget.
  • Proved that welfare-maximizing incentives are either zero or centered around a target value.
  • Revealed a gap between incentives designed for cost minimization and those aimed at maximizing welfare.

Cite This Study

Nguyen et al. (2026) studied this question.

synapsesocial.com/papers/6a797d089c20a9bbd3184167https://doi.org/10.1016/j.amc.2026.130268
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