Incentive Design in a Distributed Problem with Strategic Agents

TL;DR

This paper develops an incentive scheme for distributed systems with strategic, self-interested agents, addressing the challenge of aligning individual incentives with a centralized objective without assuming full knowledge of agents' costs or their anticipation of incentives.

Contribution

It introduces a novel incentive rule that bridges mechanism design and cost allocation, relaxing common assumptions and analyzing property satisfaction under various conditions.

Findings

Proposed incentive scheme satisfies several desirable properties.

Analyzed the impact of relaxing assumptions on incentive properties.

Bridged gap between mechanism design and cost allocation approaches.

Abstract

In this paper, we consider a general distributed system with multiple agents who select and then implement actions in the system. The system has an operator with a centralized objective. The agents, on the other hand, are selfinterested and strategic in the sense that each agent optimizes its own individual objective. The operator aims to mitigate this misalignment by designing an incentive scheme for the agents. The problem is difficult due to the cost functions of the agents being coupled, the objective of the operator not being social welfare, and the operator having no direct control over actions being implemented by the agents. This problem has been studied in many fields, particularly in mechanism design and cost allocation. However, mechanism design typically assumes that the operator has knowledge of the cost functions of the agents and the actions being implemented by the operator. On the other hand, cost allocation classically assumes that agents do not anticipate the effect of their actions on the incentive that they obtain. We remove these assumptions and present an incentive rule for this setup by bridging the gap between mechanism design and classical cost allocation. We analyze whether the proposed design satisfies various desirable properties such as social optimality, budget balance, participation constraint, and so on. We also analyze which of these properties can be satisfied if the assumptions of cost functions of the agents being private and the agents being anticipatory are relaxed.