MODELLING CONFLICT DYNAMICS IN AN ENERGY SUPPLY SYSTEM
Abstract
This paper presents a model of conflict, the precise definition of which is also presented in this paper. The system dynamics paradigm is often used to model the dynamics of social interactions. The basic ideas leading to conflict models in form of difference, i.e. differential equations, and finally to an expanded model with fuzzy logic inference are presented. Tremendous progress in this field has been made by two groups of researchers. Gottman et al., [1], modelled marital interactions and set up a model in the form of differential equations. Coleman in his group, [2], established the model of group interaction in the form of differential equations. There are many types of social interactions; conflict is merely one of them. We define conflict as a destructive, dysfunctional interaction between actors. According to this
view, we developed a conflict model, arising from the model of Coleman et al., first in the form of differential equations and then in the form of a stock-and-flow diagram, according to paradigm of system dynamics. We attempted to keep the results of the model understandable for a broad range of managers and officials at different levels within the energy sector. At the end, a numerical example is given.
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Gottman, J. M., Murray, J. D., Swanson, C. C., Tayson, R., Swanson, K. R. (2005). The Mathematics of Marriage. Cambridge: MIT Press. Journal of Family Psychology, 13(1), pp. 3–19.
Coleman, P. T., Vallacher, R., Nowak, A., & Bui-Wrzosinska, L. (2006). Intractable Conflict as an Attractor: Presenting a Dynamical Model of Conflict, Escalation, and Intractability. American Behavioral Scientist.
Deutsch, M. (1973). The resolution of Conflict: and Destructive Processes. New Haven: Yale University Press.
Deutsch, M. (2006). Corporation and Competition. In The Handbook of Conflict: Theory and Practice. Deutsch M., Colman P.T. & Marcus E. C. as editors. John Wiley Press, pp.23–42.
Richardson, L. F. (1967). Arms and Insecurity. Chicago: Quadrangle.
Pruitt D. G. (1969). Stability and sudden change in interpersonal and international affairs. Journal of Conflict Resolution 13, pp.1838.
Pruitt D. G. (2006). A graphical Interpretation of Escalation and De-escalation. Presented at Dynamics and Complexity of Intractable Conflicts. Kamimierz, Poland, pp. 19–22.
Rubin, J. Z., Pruit D. G., & Kim S. H. (1994). Social Conflict Escalation, Stalemate and settlement. McGraw Hill.
Pruitt D. G., Kim (2004). Social Conflict Escalation, Stalemate, and Settlement. McGraw Hill.
Coleman, P. T. (2000). Fostering ripeness in seemingly intractable conflict: An experimental study. International Journal of Conflict Management, 11(4), pp. 300–317.
Deutsch, M. (2005). Cooperation and Conflict: A personal perspective on the history of the social psychological study of Conflict resolution. In The Essentials of Team working: International Perspectives, Edited by West, M. A., and all, John Wiley & Sons, Ltd., pp. 1–36.
Vallacher, R.R., & Nowak, A. (2005). Dynamical social psychology: finding order in the flow of human experiences. In A.W. Kruglanski & E.T. Higgins (Eds.), Social Psychology: Handbook of Basic Principles. New York: Guilford Publications.
Gottman, J., Swanson, C., & Murray (1999). The Mathematics of Marital, Conflict: Dynamic Mathematical Nonlinear Modeling of Newlywed Marital Interaction.
Liebovitch, L. S., Naudot, V., Vallacher, R. A. Nowak, A., Bui-Wrzosinska, L., Coleman, P.T. (2008). Dynamics of two-actor cooperation-competition conflict models. Physica A doi:10.1016/j.physa.2008.07.020.
Robbins, S. P. (2005). Organizational Behavior. New Jersey Pearson Education Inc.
Kreyszig E (2011). Advanced Engineering Mathematics. John Wiley & Sons. Inc. 10 TH edition.
Usenik, J. (2009). Mathematical model of the power supply system control. Journal of Energy Technology, Aug. 2009, vol. 2, iss. 3, pp. 29–46.
Usenik, J., Repnik, M. (2012). System control in conditions of discrete stochastic input process, Journal of energy technology, Feb. 2012, vol. 5, iss. 1, pp.37–53.
Forrester J. W. (1968). Principle of Systems (1980); 2nd. Preliminary Edition; MIT Press.
Sterman J. D. (2000). Business Dynamics Systems Thinking and Modeling for a Complex World; Irwin McGraw-Hill.
Bossel, H. (2004). Systeme Dynamik Simulation Modellbildung, Analyse und Simulation komplexer Systeme. Books on Demand GmbH, Norderstedt.
Liu, S. (2007). Three Essays on Travel Demand Management Strategies for Traffic Congestion Mitigation. Dissertation Submitted to the Faculty of Virginia Polytechnic Institute and State University in partial fulfillment of the requirement for the degree of Doctor of Philosophy in Industrial & Systems Engineering.
Liu, S, Triantis, K. P., & Sarangi, S., (2011). Representing Qualitative Variables and Their Interactions With Fuzzy Logic in System Dynamics Modeling. Systems Research and Behavioral Science Syst. Res. Published online in Wiley Online Library Research Paper, pp.245–263.
Usenik, J., Turnšek, T. (2013). Modeling Conflict Dynamics With Fuzzy Logic Inference, Journal of US-China Public Administration 10 (5).