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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2025 Volume 17, Issue 2, Pages 56–74 (Mi mgta367)

Comparative analysis of incentive-based and structural control in games on networks with linear best-response

Ilya V. Petrov

Institute of Control Sciences of RAS

Abstract: This paper examines network games with linear best responses, which allow for the analysis of how interaction structures influence agents' strategic behavior. Special attention is given to intervention issues in such models, particularly in selecting optimal intervention strategies aimed at maximizing the central planner’s objective function. Two main control policies are analyzed: individual agent incentives and modifications of the interaction structure. The concept of a representative agent is introduced to simplify equilibrium analysis and control problems in network games. Both aggregate outcome maximization problems and adversarial scenarios between competing central planners are considered. Analytical conditions are derived to determine when controlling the interaction structure is more effective than influencing individual incentives. Numerical experiments confirm the theoretical results and demonstrate their applicability to different types of network structures.

Keywords: games on networks, network interventions, peer effects.

UDC: 519.83+330.46
BBK: 22.185

Received: 10.02.2025
Revised: 22.03.2025
Accepted: 19.06.2025



© Steklov Math. Inst. of RAS, 2026