Body Weight, Dieting and Obesity Traps

Barbieri, Paolo Nicola (2015): Body Weight, Dieting and Obesity Traps.

Abstract

This paper presents a theoretical investigation into why losing weight is so difficult even in the absence of rational addiction, time-inconsistent preferences or bounded rationality. We add to the existing literature by focusing on the role that individual metabolism has on weight loss. The results from the theoretical model provides multiple steady states and a threshold revealing a situation of ''obesity traps" that the individual must surpass in order to successfully lose weight. Given such a threshold we investigate if a short-run incentive scheme for weight loss is able to promote persistent weight-losses and what features an incentive scheme should have in order to sustain permanent weight loss. We find that a lump-sum incentive scheme is not always able to lead the individual to permanent weight loss. On the contrary, a non-decreasing incentive scheme with rewards for weight loss according to levels of body weight (i.e. progressive), is able to sustain a steady state reduction in body weight and food consumption.

• Item Type: MPRA Paper
• Language: English
• Keywords: Obesity, Dieting, Optimal Control, Multiple Equilibria.
• Subjects: D - Microeconomics > D9 - Intertemporal Choice > D91 - Intertemporal Household Choice ; Life Cycle Models and Saving; I - Health, Education, and Welfare > I1 - Health > I12 - Health Behavior; I - Health, Education, and Welfare > I1 - Health > I18 - Government Policy ; Regulation ; Public Health

References

Astrup, A., P. C. Gøtzsche, K. van de Werken, C. Ranneries, S. Toubro, A. Raben, and B. Buemann (1999). Meta-analysis of resting metabolic rate in formerly obese subjects. The American journal of clinical nutrition 69(6), 1117–1122.

Augurzky, B., T. K. Bauer, A. Reichert, C. Schmidt, and H. Tauchmann (2012). Does money burn fat? evidence from a randomized experiment.

Baradel, L., C. Gillespie, J. Kicklighter, M. Doucette, M. Penumetcha, H. Blanck, et al. (2009). Temporal changes in trying to lose weight and recommended weight-loss strategies among overweight and obese americans, 1996-2003. Preventive medicine 49(2-3), 158.

Bish, C., H. Blanck, M. Serdula, M. Marcus, H. Kohl, and L. Khan (2012). Diet and physical activity behaviors among americans trying to lose weight: 2000 behavioral risk factor surveillance system. Obesity Research 13(3), 596–607.

Catenacci, V., P. Maclean, L. Ogden, S. Polsky, H. Wyatt, and J. Hill (2011). Chapter 46 in: John Cawley (editor), The Oxford Handbook of the Social Science of Obesity,. Oxford University Press, USA.

Cawley, J. and J. A. Price (2013). A case study of a workplace wellness program that offers financial incentives for weight loss. Journal of health economics 32(5), 794–803.

Cunningham, J. J. (1991). Body composition as a determinant of energy expenditure: a synthetic review and a proposed general prediction equation. The American journal of clinical nutrition 54(6), 963–969.

Dodd, M. (2008). Obesity and time-inconsistent preferences. Obesity Research & Clinical Practice 2(2), 83–89.

Dragone, D. (2009). A rational eating model of binges, diets and obesity. Journal of health economics 28(4), 799–804.

Dragone, D., F. Manaresi, and L. Savorelli (2013). Obesity and smoking: can we catch two birds with one tax?

Dragone, D. and L. Savorelli (2011). Thinness and obesity: A model of food consumption, health concerns, and social pressure. Journal of Health Economics.

Ebbeling, C., J. Swain, H. Feldman, W. Wong, D. Hachey, E. Garcia-Lago, and D. Ludwig (2012). Effects of dietary composition on energy expenditure during weight-loss maintenance. JAMA: The Journal of the American Medical Association 307(24), 2627–2634.

Gale, S., V. Castracane, and C. Mantzoros (2004). Energy homeostasis, obesity and eating disorders: recent advances in endocrinology. The Journal of nutrition 134(2), 295–298.

Harris, J. A. and F. G. Benedict (1918). A biometric study of human basal metabolism. Proceedings of the National Academy of Sciences of the United States of America 4(12), 370.

Ikeda, S., M. Kang, and F. Ohtake (2010). Hyperbolic discounting, the sign effect, and the body mass index. Journal of health economics 29(2), 268–284.

John, L., G. Loewenstein, A. Troxel, L. Norton, J. Fassbender, and K. Volpp (2011). Financial incentives for extended weight loss: a randomized, controlled trial. Journal of general internal medicine 26 (6), 621–626.

Johnstone, A. M., S. D. Murison, J. S. Duncan, K. A. Rance, and J. R. Speakman (2005). Factors influencing variation in basal metabolic rate include fat-free mass, fat mass, age, and circulating thyroxine but not sex, circulating leptin, or triiodothyronine. The American journal of clinical nutrition 82(5), 941–948.

Kahneman, D. and A. Tversky (1979). Prospect theory: An analysis of decision under risk. Econometrica: Journal of the Econometric Society, 263–291.

Katan, M. and D. Ludwig (2010). Extra calories cause weight gain - but how much? JAMA: the journal of the American Medical Association 303(1), 65–66.

Kruger, J., D. Galuska, M. Serdula, D. Jones, et al. (2004). Attempting to lose weight: specific practices among us adults. American journal of preventive medicine 26(5), 402.

Leibel, R. and J. Hirsch (1984). Diminished energy requirements in reduced-obese patients. Metabolism 33 (2), 164–170.

Leibel, R., M. Rosenbaum, and J. Hirsch (1995). Changes in energy expenditure resulting from altered body weight. New England Journal of Medicine 332(10), 621–628.

Levy, A. (2002). Rational eating: can it lead to overweightness or underweightness? Journal of Health Economics 21(5), 887–899.

Loewenstein, G., T. Brennan, and K. Volpp (2007). Asymmetric paternalism to improve health behaviors. JAMA: The Journal of the American Medical Association 298(20), 2415–2417.

Loewenstein, G. and T. O’Donoghue (2004). Animal spirits: Affective and deliberative processes in economic behavior. Available at SSRN 539843.

Mifflin, M. D., S. St Jeor, L. A. Hill, B. J. Scott, S. A. Daugherty, and Y. Koh (1990). A new predictive equa- tion for resting energy expenditure in healthy individuals. The American journal of clinical nutrition 51 (2), 241–247.

Mozaffarian, D., T. Hao, E. B. Rimm, W. C. Willett, and F. B. Hu (2011). Changes in diet and lifestyle and long-term weight gain in women and men. New England Journal of Medicine 364(25), 2392–2404.

O’Donoghue, T. and M. Rabin (1999). Doing it now or later. American Economic Review, 103–124. Ogden, C. and M. Carroll (2010). Prevalence of overweight, obesity, and extreme obesity among adults: United states, trends 1960–1962 through 2007–2008. NCHS Health and Stats.

Ozdenoren, E., S. Salant, and D. Silverman (2006). Willpower and the optimal control of visceral urges. Technical report, National Bureau of Economic Research.

Ruhm, C. (2012). Understanding overeating and obesity. Journal of Health Economics.

Thomas, D. M., A. Ciesla, J. A. Levine, J. G. Stevens, and C. K. Martin (2009). A mathematical model of weight change with adaptation. Mathematical biosciences and engineering: MBE 6(4), 873.

Thomas, D. M., C. K. Martin, S. Heymsfield, L. M. Redman, D. A. Schoeller, and J. A. Levine (2011). A simple model predicting individual weight change in humans. Journal of biological dynamics 5 (6), 579–599.

Volpp, K., L. John, A. Troxel, L. Norton, J. Fassbender, and G. Loewenstein (2008). Financial incentive–based approaches for weight loss. JAMA: the journal of the American Medical Association 300(22), 2631–2637.

von Ruesten, A., A. Steffen, A. Floegel, G. Masala, A. Tjønneland, J. Halkjaer, D. Palli, N. Wareham, R. Loos, T. Sørensen, et al. (2011). Trend in obesity prevalence in european adult cohort populations during follow-up since 1996 and their predictions to 2015. PLoS One 6(11), e27455.

Wang, Z., S. Heshka, D. Gallagher, C. N. Boozer, D. P. Kotler, and S. B. Heymsfield (2000). Resting energy expenditure-fat-free mass relationship: new insights provided by body composition modeling. American Journal of Physiology-Endocrinology And Metabolism 279(3), E539–E545.

Wirl, F. (2004). Thresholds in concave renewable resource models. Ecological economics 48(2), 259–267. Wirl, F. and G. Feichtinger (2005). History dependence in concave economies. Journal of Economic Behaviour & Organization 57(4), 390–407.

Yaari, M. E. (1965). Uncertain lifetime, life insurance, and the theory of the consumer. The Review of Economic Studies 32(2), 137–150.