Lecture: Optgame - approximating equilibrium solutions of multi decision maker...
Master data
Title: | Optgame - approximating equilibrium solutions of multi decision maker difference games |
Description: | Games taking place in a shared environment are characterized by the fact that the effectiveness of individual decisions heavily depends on the decisions of other players. Our algorithm OPTGAME is able to approximate the evolution of choices to be made if a number of independent decision makers seek to reach individually desirable states. The evolution of states subject to control is described by a system of nonlinear difference equations. We call this a „tracking game“, since is an extension of the linear regulator problem (also known as „tracking problem“) that is well known from LQ optimal control theory. OPTGAME is a tool that steers the control and state paths towards desired outcomes. It is novel in a way that it works for game theoretic systems with nonlinear constraints. It searches for equilibrium solutions by iteratively applying a sequence of local linearization and optimization over the entire planning horizon. The tool yields three types of non-cooperative equilibrium solutions (open-loop Nash equilibrium, feedback Nash equilibrium, feedback Stackelberg equilibrium) plus one cooperative solution (Pareto-optimal strategy). |
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Type: | Guest lecture |
Homepage: | http://demesos.blogspot.co.at/2014/03/solving-tracking-game.html |
Event: | SOCraTES (Seminar on Complexity, Smart grids, Evolution and Embedded Systems) (Alpen-Adria Universität Klagenfurt) |
Date: | 04.07.2013 |
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Fakultät für Wirtschafts- und Rechtswissenschaften
Institut für Volkswirtschaftslehre
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AT - A-9020 Klagenfurt |
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Fakultät für Wirtschafts- und Rechtswissenschaften
Institut für Unternehmensführung Abteilung für Controlling und Strategische Unternehmensführung
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AT - 9020 Klagenfurt |
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