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Neuroeconomic conditions for "rational addiction" (Becker and Murphy, 1988 ) have been unknown. This paper derived the conditions for "rational addiction" by utilizing a nonlinear time-perception theory of "hyperbolic" discounting, which is mathematically equivalent to the q-exponential intertemporal choice model based on Tsallis' statistics. It is shown that (i) Arrow-Pratt measure for temporal cognition corresponds to the degree of irrationality (i.e., Prelec's "decreasing impatience"doi:10.2139/ssrn.1878913 fatcat:q7xkqlwxbbh7xbs5imm4fcsgd4