creators_name: Takahashi, Taiki type: preprint datestamp: 2011-12-16 00:08:51 lastmod: 2011-12-16 00:08:51 metadata_visibility: show title: A neuroeconomic theory of rational addiction and nonlinear time-perception. subjects: behanal subjects: behav-neuro-sci subjects: bio-behav subjects: cog-psy subjects: comp-sci-stat-model subjects: neuro-pharm subjects: psy-bio subjects: psy-phys subjects: psycphs full_text_status: public keywords: Neuroeconomics; Econophysics; Addiction; Dopamine; Rationality; Tsallis' statistics abstract: 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” parameter of temporal discounting) and (ii) rationality in addicts is controlled by a nondimensionalization parameter of the logarithmic time-perception function. Furthermore, the present theory illustrates the possibility that addictive drugs increase impulsivity via dopaminergic neuroadaptation without increasing irrationality. Future directions in the application of the model to studies in neuroeconomics are discussed. date: 2011-11-22 date_type: completed refereed: TRUE referencetext: Anteneodo C, Tsallis C, Martinez AS. (2002) Risk aversion in economic transactions. Europhysics Letters 59 (5): 635-641. Arrow KJ (1965) Aspects of the Theory of Risk-Bearing. Helsinki: Yrjö Hahnsson Foundation. Becker GS and Murphy KM (1988) A theory of rational addiction Journal of Political Economy 96: 675-700. Bickel WK, Marsch LA (2001) Toward a behavioral economic understanding of drug dependence: delay discounting processes, Addiction 96: 73–86. Cajueiro DO (2006) A note on the relevance of the q-exponential function in the context of intertemporal choices. Physica A 364: 385–388. Estle SJ, Green L, Myerson J, Holt DD. (2006) Differential effects of amount on temporal and probability discounting of gains and losses. Mem Cognit. 34:914-928. Gruber J, Koszegi B. (2001) Is addiction rational? Theory and evidence. Quarterly Journal of Economics 116: 1261–1303. Kim KB, Zauberman G (2009), Perception of Anticipatory Time in Temporal Discounting, Journal of Neuroscience, Psychology, and Economics, 2(2), 91-101. Laibson, D (1997) Golden Eggs and Hyperbolic Discounting. Quarterly Journal of Economics 112: 443-477. Von Neumann, J., and Morgenstern O (1947): Theory of Games and Economic Behavior, 2nd ed. Princeton: Princeton University Press. Ohmura Y, Takahashi, T & Kitamura N (2005). Discounting delayed and probabilistic monetary gains and losses by smokers of cigarettes. Psychopharmacology, 182, 508–515. Pratt JW (1964) Risk Aversion in the Small and in the Large. Econometrica, Vol. 32, p.122-136. Prelec, D., (2004) Decreasing impatience: A criterion for non-stationary time preference and hyperbolic discounting. Scandinavian Journal of Economics, 106, 511-532 Rubia K, Halari R, Christakou A, Taylor E. (2009) Impulsiveness as a timing disturbance: neurocognitive abnormalities in attention-deficit hyperactivity disorder during temporal processes and normalization with methylphenidate. Philos Trans R Soc Lond B Biol Sci. 364(1525):1919-1931 Takahashi T. (2005) Loss of self-control in intertemporal choice may be attributable to logarithmic time-perception. Med Hypotheses. 65(4):691-693. Takahashi T. (2006) Time-estimation error following Weber-Fechner law may explain subadditive time-discounting. Med Hypotheses. 67:1372-1374. Takahashi T, Ono H, Radford MHB (2007) Empirical estimation of consistency parameter in intertemporal choice based on Tsallis' statistics Physica A: Statistical Mechanics and its Applications 381: 338-342 Takahashi T, Oono H, Radford MHB Psychophysics of time perception and intertemporal choice models. (2008) Physica A: Statistical Mechanics and its Applications, 87, 8-9: 2066-2074 Takahashi T, Oono H, Inoue T, Boku S, Kako Y, Kitaichi Y, Kusumi I, Masui T, Nakagawa S, Suzuki K, Tanaka T, Koyama T, Radford MH. (2008) Depressive patients are more impulsive and inconsistent in intertemporal choice behavior for monetary gain and loss than healthy subjects: an analysis based on Tsallis' statistics. NeuroEndocrinol Letters 29(3):351-358. Takahashi, T (2009) Theoretical frameworks for neuroeconomics of intertemporal choice. Journal of Neuroscience, Psychology, and Economics. 2: 75-90 Tsallis, C Química Nova 17 (1994), p. 468. Ward RD, Kellendonk C, Simpson EH, Lipatova O, Drew MR, Fairhurst S, Kandel ER, Balsam PD. (2009) Impaired timing precision produced by striatal D2 receptor overexpression is mediated by cognitive and motivational deficits. Behav Neurosci. 123:720-730. Williamson LL, Cheng RK, Etchegaray M, Meck WH. (2008) "Speed" warps time: methamphetamine's interactive roles in drug abuse, habit formation, and the biological clocks of circadian and interval timing. Curr Drug Abuse Rev. 1:203-212. Zauberman, G., Kim, BK, Malkoc, S, & Bettman, JR (2009). Discounting time and time discounting: Subjective time perception and intertemporal preferences. Journal of Marketing Research. 46: 543-556. citation: Takahashi, Ph.D Taiki (2011) A neuroeconomic theory of rational addiction and nonlinear time-perception. [Preprint] document_url: http://cogprints.org/7747/1/neuroeconomics%20addiction%20time.pdf