Public Goods in Directed Networks: A Kernel Approach
Published:Dec 29, 2025 04:09
•1 min read
•ArXiv
Analysis
This paper explores how public goods can be provided in decentralized networks. It uses graph theory kernels to analyze specialized equilibria where individuals either contribute a fixed amount or free-ride. The research provides conditions for equilibrium existence and uniqueness, analyzes the impact of network structure (reciprocity), and proposes an algorithm for simplification. The focus on specialized equilibria is justified by their stability.
Key Takeaways
- •Applies graph theory kernels to analyze public goods provision in directed networks.
- •Provides conditions for the existence and uniqueness of specialized equilibria.
- •Demonstrates the impact of network reciprocity on equilibrium.
- •Proposes an algorithm for network simplification while preserving equilibrium properties.
- •Justifies the focus on specialized equilibria through stability analysis.
Reference
“The paper establishes a correspondence between kernels in graph theory and specialized equilibria.”