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Optimal weight based on energy imbalance and utility maximization

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  • Sun, Ruoyan

Abstract

This paper investigates the optimal weight for both male and female using energy imbalance and utility maximization. Based on the difference of energy intake and expenditure, we develop a state equation that reveals the weight gain from this energy gap. We ​construct an objective function considering food consumption, eating habits and survival rate to measure utility. Through applying mathematical tools from optimal control methods and qualitative theory of differential equations, we obtain some results. For both male and female, the optimal weight is larger than the physiologically optimal weight calculated by the Body Mass Index (BMI). We also study the corresponding trajectories to steady state weight respectively. Depending on the value of a few parameters, the steady state can either be a saddle point with a monotonic trajectory or a focus with dampened oscillations.

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  • Sun, Ruoyan, 2016. "Optimal weight based on energy imbalance and utility maximization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 429-435.
    • Handle: RePEc:eee:phsmap:v:442:y:2016:i:c:p:429-435
    DOI: 10.1016/j.physa.2015.09.034
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    1. Savage, J.S. & Downs, D.S. & Dong, Y. & Rivera, D.E., 2014. "Control systems engineering for optimizing a prenatal weight gain intervention to regulate infant birth weight," American Journal of Public Health, American Public Health Association, vol. 104(7), pages 1247-1254.
    2. Ruhm, Christopher J., 2012. "Understanding overeating and obesity," Journal of Health Economics, Elsevier, vol. 31(6), pages 781-796.
    3. Charles Courtemanche & Garth Heutel & Patrick McAlvanah, 2015. "Impatience, Incentives and Obesity," Economic Journal, Royal Economic Society, vol. 125(582), pages 1-31, February.
    4. Dragone, Davide, 2009. "A rational eating model of binges, diets and obesity," Journal of Health Economics, Elsevier, vol. 28(4), pages 799-804, July.
    5. Levy, Amnon, 2002. "Rational eating: can it lead to overweightness or underweightness?," Journal of Health Economics, Elsevier, vol. 21(5), pages 887-899, September.
    6. Chen, Lijuan & Hattaf, Khalid & Sun, Jitao, 2015. "Optimal control of a delayed SLBS computer virus model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 244-250.
    7. Maoyong Fan & Yanhong Jin, 2014. "Obesity and Self-control: Food Consumption, Physical Activity, and Weight-loss Intention," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 36(1), pages 125-145.
    8. Eva Deuchert & Sofie Cabus & Darjusch Tafreschi, 2014. "A Short Note On Economic Development And Socioeconomic Inequality In Female Body Weight," Health Economics, John Wiley & Sons, Ltd., vol. 23(7), pages 861-869, July.
    9. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
    10. Strulik, Holger, 2014. "A mass phenomenon: The social evolution of obesity," Journal of Health Economics, Elsevier, vol. 33(C), pages 113-125.
    11. González-Parra, Gilberto & Acedo, L. & Villanueva Micó, Rafael-J. & Arenas, Abraham J., 2010. "Modeling the social obesity epidemic with stochastic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3692-3701.
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    Cited by:

    1. Barbieri, Paolo Nicola, 2017. "Modelling body weight, dieting and obesity traps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 139-146.

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