salehi, zeinabChen, YijunRatnam, ElizabethPetersen, IanShi, Guodong2024-04-1025-26 Nove9781665416511http://hdl.handle.net/1885/316656In this paper, we study multi-agent systems with distributed resource allocation at individual agents. The agents make local resource allocation decisions including, in some cases, trading decisions - incurring income or expenditure subject to the resource price and system-level resource availability. The agents seek to maximize their individual payoffs, which accrue from both resource allocation income and expenditure. We define a social shaping problem for the system and show that the optimal price is always below a prescribed socially resilient price threshold. By exploring optimality conditions for each agent, we express resource allocation decisions in terms of piece-wise linear functions with respect to the price for unit resource. We further establish a tight range for the coefficients of the linear-quadratic utilities, under which optimal pricing is proven to be always socially resilient.This work was supported by the Australian Research Council under grants DP190102158 and DP190103615.application/pdfen-AU© 2021 IEEESocial Shaping of Linear Quadratic Multi-Agent Systems202110.1109/ANZCC53563.2021.96283892022-11-20