Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 11 1 2026 06 07 Designing an Efficient and Incentive-Compatible Mechanism of Self-Adjusting in the Smart Power Grid 101 115 2092 10.22128/ansne.2026.3234.1191 EN Fazeleh Akbarian Non Government Higher Education Institute of Fazilat, Semnan, Iran Esmaiel Abounoori Department of Economics, Semnan University, Semnan, Iran Mahdi Farzinfar School of Engineering, Damghan University, P.O. Box 36716-41167, Damghan, Iran Nader Asghari Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran Journal Article 2026 01 29 Given the increasing challenges in electricity supply and the necessity of optimizing energy consumption in public institutions, this article designs an efficient and incentive-compatible self-regulating mechanism in the smart electricity grid (based on mechanism design theory) to manage electricity consumption in public governmental institutions. Unlike existing mechanisms that rely on direct supervision or fixed quotas, our approach introduces a composite permitted ceiling that dynamically adapts to each institution's historical performance and operational constraints. The aim of this article is to design a mathematical model and create a mechanism through which agents (public governmental institutions) voluntarily and without coercion choose desirable and optimal consumption behavior. The proposed mechanism encourages agents to reduce consumption and adhere to the permitted ceiling without direct supervision. Our model achieves an improvement in energy balance compared to traditional fixed-ceiling approaches while maintaining voluntary participation.  The proposed mechanism encourages agents to reduce consumption and adhere to the permitted ceiling without direct supervision. The proposed mechanism includes a composite permitted ceiling, mission coefficient, and a system of rewards and penalties that aligns with the interests of each institution and leads to the reform of consumption behavior. https://ansne.du.ac.ir/article_2092_3e301937b2dd3dd6fe75c185906dea99.pdf