Stability and Optimal Control of a Multiplayer Dynamic Game

Scheffran, J.

doi:10.1007/978-3-642-56656-1_3

J. Scheffran⁶

Part of the book series: Operations Research Proceedings ((ORP,volume 2000))

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Abstract

A framework is presented for optimal control in a dynamic game of value-cost interaction, with multiple players allocating costs to pursues objectives. For each time step, the stability of the interaction matrix in the equilibrium can be controlled by the cost allocation, leading to a cost-minimal coalition. In the repeated game the players can mutually adjust their costs non-cooperatively according to reaction functions. Cooperative control of cost allocation can help to stabilize the dynamics and achieve an optimal tradeoff between costs and objectives.

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References

Gandolfo, G. (1997): Economic Dynamics, Springer, Heidelberg, 115.
Google Scholar
Hofbauer, J. and Sigmund, K. (1998): Evolutionary Games and Population Dynamics. Cambridge University Press, Cambridge, 18.
Book Google Scholar
Krabs, W. (2000): On Local Controllability of Time Discrete Dynamical Systems into Steady States. To appear in Journal of Difference Equations and Applications.
Google Scholar
Krabs, W., Pickl, S. and Scheffran, J. (2000): An n-person game under linear side conditions, in: Dockner, E.J.,etal. (eds.), Optimization, Dynamics and Economic Analysis. Essays in Honor of Gustav Feichtinger, Springer, Heidelberg, 76–85.
Google Scholar
Murata, Y. (1977): Mathematics for Stability and Optimization of Economic Systems, Academic Press, New York.
Google Scholar
Scheffran, J. (2000): The Dynamic Interaction between Economy and Ecology, Mathematics and Computers in Simulation (in print).
Google Scholar

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Authors and Affiliations

Department of Mathematics, Darmstadt University of Technology, D-64289, Darmstadt, Germany
J. Scheffran

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J. Scheffran
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Editors and Affiliations

Lehrstuhl für Produktion und Logistik, Universität Augsburg, Universitätsstraße 16, D-86135, Augsburg, Germany
Bernhard Fleischmann
Lehrstuhl für Betriebswirtschaftslehre, insbesondere Logistik, Technische Universität Dresden, Mommsenstraße 13, D-01062, Dresden, Germany
Rainer Lasch
Seminar für Wirtschaftsinformatik und Operations Research, Universität zu Köln, Pohligstraße 1, D-50969, Köln, Germany
Ulrich Derigs
Institut für Betriebswirtschaftslehre, Fachgebiet Operations Research, Technische Universität Darmstadt, Hochschulstraße 1, D-64289, Darmstadt, Germany
Wolfgang Domschke
Abteilung Mathematik VII, Universität Ulm, D-89069, Ulm, Germany
Ulrich Rieder

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Scheffran, J. (2001). Stability and Optimal Control of a Multiplayer Dynamic Game. In: Fleischmann, B., Lasch, R., Derigs, U., Domschke, W., Rieder, U. (eds) Operations Research Proceedings. Operations Research Proceedings, vol 2000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56656-1_3

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DOI: https://doi.org/10.1007/978-3-642-56656-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41587-9
Online ISBN: 978-3-642-56656-1
eBook Packages: Springer Book Archive

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