PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Rights accessOpen Access
This work solves a model-free resource allocation problem with two objectives. These objectives represent both cooperation and competition directions. It is proposed a solution that combines a centralized cooperative game approach using the Shapley value to determine a proper partitioning of the system, and a decentralized non-cooperative game approach using the Nash equilibrium to achieve the control objective by means of both partial and local information. Furthermore, invariant set and stability analysis are discussed for the noncooperative game approach. Another contribution regarding the cooperative game approach relies on a novel and alternative way to compute the Shapley value for the chosen characteristic function. This alternative computational way is proposed in order to mitigate the commonly high computational burden issue, which is associated to the combinatorial explosion associated to the cooperative game approach.
CitationBarreiro, J., Ocampo-Martinez, C.A., Maestre, J., Quijano, N. Multi-objective model-free control based on population dynamics and cooperative games. A: IEEE Annual Conference on Decision and Control. "2015 IEEE 54th Annual Conference on Decision and Control (CDC)". Osaka: Institute of Electrical and Electronics Engineers (IEEE), 2015, p. 5296-5301.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: firstname.lastname@example.org