A Game-inspired Modeling Framework For Multiple Intelligent Agents Control Systems - A Water Resources Regulation Problem Application

Some interesting recent papers apply concepts and modeling approaches for multiple interacting intelligent autonomous agents control systems analysis and design inspired in Game Theory, where 'players' are treated as 'agents', in several conflicts of interests situations. This paper presents and uses the named Strategic Games Matrix (SGM) as a general framework for these new types of control problems. A methodology for analysis of hierarchical multilevel architectures models based on the SGM concept is applied to a water resources regulation control problem, with multiple interacting autonomous stakeholders, as posed by Hämäläinen et al as "The Päijänne Lake Regulation Policy" case. © 2007 IEEE.505510Shi, H., Wang, L., Chu, T., Coordination of multiple dynamic agents with asymmetric interactions (2005) Proc. 2005 IEEE Int. Symposium on Intelligent Control, , Limassol, Cyprus, JuneAlpcan, T., Basar, T., A game-theoretic framework for congestion control in general topology networks (2002) Proc. 41st IEEE CDC, , Las Vegas, Nevada, DecShao, J., Xie, G., Yu, J., Wang, L., Leader-following formation control of multiple mobile robots (2005) Proc. 2005 IEEE Int. Symposium on Intelligent Control, , Limassol, Cyprus, JuneDimarogonas, D.V., Kyriakopoulus, K.J., A feedback stabilization and collision avoidance scheme for multiple independent nonholonomic non-point agents (2005) Proc. 2005 IEEE Int. Symposium on Intelligent Control, , Limassol, Cyprus, JuneBohacek, S., Hespanha, J.P., Obraczka, K., Saddle policies for secure routing in communication networks (2002) Proc. 41st IEEE CDC, , Las Vegas, Nevada, DecRahimi-Kian, A., Tabarraei, H., Sadeghi, B., Reinforcement learning based supplier-agents for electricity markets (2005) Proc. 2005 IEEE Int. Symposium on Intelligent Control, , Limassol, Cyprus, JuneSouza, J., Simsek, T., Varaiya, P., Task planning and execution for UAV teams (2004) Proc. 43rd IEEE CDC, Atlantis, Paradise Island, , Bahamas, DecLiu, Y., Galati, D.G., Simaan, M.A., A game theoretic approach to team dynamics and tactics in mixed initiative control of automa-teams (2004) Proc. 43rd IEEE CDC, Atlantis, Paradise Islands, , Bahamas, DecCastañón, D.A., Pachter, M., Chandler, P.R., A game of deception (2004) Proc. 43rd IEEE, CDC, Atlantis, Paradise Islands, , Bahamas, DecAlpcan, T., Basar, T., A game theoretic analysis of intrusion detection in access control systems (2004) Proc. 43rd IEEE CDC, Atlantis, Paradise Islands, , Bahamas, DecMaheswaran, R.T., Basar, T., Social welfare of selfish agents: Motivating efficiency for divisible resources (2004) Proc. 43rd IEEE CDC, Atlantis, Paradise Islands, , Bahamas, DecE. A. Costa, C. P. Bottura. The Strategic Games Matrix (SGM) as a new tool for strategic management via Game Theory, Sistemas & Gestão, 1 (1) pp. 17-41 (in http://www.latec.com.br/sg/arevista/ Volume1/Numero1/V1_1_index.htm)Costa, E.A., Bottura, C.P., Boaventura, J.M.G., Fischmann, A.A., The game to play: Expanding the co-opetition proposal (2006) Proc. of the 2006 Academy of Management Annual Meeting, , Atlanta, EUA, August 11-16Schelling, T.C., (1960) The strategy of conflict, , New York, NY: Harvard University PressBrandenburg, A.M., Nalebuff, B.J., The right game: Use of Game Theory to shape strategy (1995) Harvard Business Review, pp. 57-81. , July-AugBrandenburger, A.M., Nalebuff, B.J., (1996) Co-opetition, , New York: DoubledayLado, A.A., Boyd, N.G., Hanlon, S.C., Competition, cooperation, and the search for economic rents: A syncretic model (1997) Academy of Management Review, 22, pp. 110-141Bottura, C.P., Costa, E.A., Business strategy formulation modeling via hierarchical dynamic game (2004) Proc. CSIMTA International Conference, , Cherbourgh, France, SeptBaşar, T., Olsder, G.J., Dynamic non-cooperative Game Theory (1999) Series in Classics in Applied Mathematics, , Philadelphia, PA: SIAMJ.T. Costa Fo, Proposta para computação assíncrona paralela e distribuída de estruturas especiais de jogos dinâmicos, Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica, Tese de Doutorado, Campinas, SP, Brazil, 1992Bryson Jr., A.E., Ho, Y.C., (1975) Applied optimal control, , Washington, DC: HemisphereCruz Jr., J.B., Leader-follower strategies for multilevel systems (1978) IEEE Trans. on Automatic Control, AC-23 (2), pp. 244-255Nash, J.F., Equilibrium point in N-person games (1950) Proc. Nat. Acad. Sci., USA, 36, pp. 48-49J. T. Costa Fo, and C. P. Bottura, Hierarchical multidecision making on a computer network with distributed coordination and control, Proc. 39th Annual Allerton Conference on Communication Control and Computing, Urbana, IL, Oct. 1991, pp. 703-704Haimes, Y.Y., Li, D., Hierarchical multiobjective analysis for large-scale systems: Review and current status (1988) Automatica, 24 (1), pp. 53-69J. T. Costa Fo, and C. P. Bottura, Parallel optimal hierarchical control using a MIMD architecture, Proc. 29th IEEE CDC, Honolulu, Dec. 1990Hämäläinen, R.P., Kettunen, E., Marttunen, M., Ehtamo, H., Towards decision and negotiation support in multi-stakeholder development of lake regulation policy (1999) Proc. 32nd Hawaii Int. Conf on System Science, , Hawaii, EUA, JanHaimes, Y.Y., Hall, W.A., Freedman, H.T., (1975) Multi-objective optimization in water resources systems, , New York, NY: ElsevierGoldberg, D.E., (1989) Genetic algorithms in search, optimization and machine learning, , Reading, MA: Addison-Wesle