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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 8: Evolutionary Game Theory II (with BP)
SOE 8.5: Vortrag
Dienstag, 23. März 2010, 12:15–12:30, H44
Evolutionary Quantum Game Theory — •Matthias Hanauske1 and Jennifer Kunz2 — 1Institute of Information Systems — 2Chair of Controlling and Auditing, Goethe-University, Frankfurt/M.
Quantum game theory is a mathematical and conceptual amplification of classical game theory. The space of all conceivable decision paths is extended from the purely rational, measurable space in the Hilbertspace of complex numbers. Trough the concept of a potential entanglement of the imaginary quantum strategy parts, it is possible to include corporate decision path, caused by cultural or moral standards. If this strategy entanglement is large enough, then, additional Nash-equilibria can occur and previously present dominant strategies could become nonexistent. The main equation of evolutionary game theory, the Replicator equation, gets a more complex structure and other evolutionary stable strategies can appear. In addition to a detailed introduction in evolutionary quantum game theory several examples of applications will be presented during this talk. The current financial crisis will be discussed using a quantum extension of an anti-coordination game, the different publication patterns of scientist will be studied and the evolution of social norms in firms will be explained using a quantum coordination game.
(http://evolution.wiwi.uni-frankfurt.de/Lyon2009/, ArXiv: 0904.2113, arXiv: physics/0612234)