Adaptive dynamics and its application to context dependent systems breaking the classical probability law

Authors:
Masanari Asano;Irina Basieva;Andrei Khrennikov;Masanori Ohya;Yoshiharu Tanaka;Ichiro Yamato
Affiliations:
Department of Information Sciences, Tokyo University of Science, Noda-shi, Chiba, Japan;International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, Växjö, Sweden;International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, Växjö, Sweden;Department of Information Sciences, Tokyo University of Science, Noda-shi, Chiba, Japan;Department of Information Sciences, Tokyo University of Science, Noda-shi, Chiba, Japan;Department of Biological Science and Technology, Tokyo University of Science, Noda-shi, Chiba, Japan
Venue:
QI'12 Proceedings of the 6th international conference on Quantum Interaction
Year:
2012

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Abstract

There exist several phenomena (systems) breaking the classical probability laws. In this report, we present a new mathematical formula to compute the probability in those context dependent systems by using the concepts of the adaptive dynamics and the lifting.