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Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game

Author

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  • René Carmona

    (Princeton University)

  • Christy V. Graves

    (Princeton University)

Abstract

A mean field game is proposed for the synchronization of oscillators facing conflicting objectives. Our motivation is to offer an alternative to recent attempts to use dynamical systems to illustrate some of the idiosyncrasies of jet lag recovery. Our analysis is driven by two goals: (1) to understand the long time behavior of the oscillators when an individual remains in the same time zone, and (2) to quantify the costs from jet lag recovery when the individual has traveled across time zones. Finite difference schemes are used to find numerical approximations to the mean field game solutions. They are benchmarked against explicit solutions derived for a special case. Numerical results are presented and conjectures are formulated. The numerics suggest that the cost the oscillators accrue while recovering is larger for eastward travel which is consistent with the widely admitted wisdom that jet lag is worse after traveling east than west.

Suggested Citation

  • René Carmona & Christy V. Graves, 2020. "Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game," Dynamic Games and Applications, Springer, vol. 10(1), pages 79-99, March.
    • Handle: RePEc:spr:dyngam:v:10:y:2020:i:1:d:10.1007_s13235-019-00315-1
    DOI: 10.1007/s13235-019-00315-1
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    References listed on IDEAS

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    1. Steven M. Reppert & David R. Weaver, 2002. "Coordination of circadian timing in mammals," Nature, Nature, vol. 418(6901), pages 935-941, August.
    2. Huibing Yin & Prashant Mehta & Sean Meyn & Uday Shanbhag, 2014. "On the Efficiency of Equilibria in Mean-Field Oscillator Games," Dynamic Games and Applications, Springer, vol. 4(2), pages 177-207, June.
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    Cited by:

    1. Paolo Dai Pra & Elena Sartori & Marco Tolotti, 2023. "Polarization and Coherence in Mean Field Games Driven by Private and Social Utility," Journal of Optimization Theory and Applications, Springer, vol. 198(1), pages 49-85, July.

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