A psychophysical theory of Shannon entropy.
Connections between information theory and decision under uncertainty have been attracting attention in econophysics, neuroeconomics and quantum decision theory. This paper proposes a psychophysical theory of Shannon entropy based on a mathematical equivalence of delay and uncertainty in decision-making, and psychophysics of the perception of waiting time in probabilistic choices. Furthermore, it is shown that the well-known Shannon entropy is a special case of the general psychophysical entropy. Future directions in the application of the present theory to studies in econophysics and neuroeconomics are discussed.
Department of Behavioral Science, Faculty of Letters, Hokkaido University, Sapporo, Japan. taikitakahashi@gmail.com.
Taiki
T
Takahashi
D003657:Decision Making; D019277:Entropy; D006801:Humans; D008960:Models, Psychological; D011601:Psychophysics; D035501:Uncertainty