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A mathematical model for the dynamics of happiness
Gustavo Carrero1, Joel Makin2, Peter Malinowski3
1Centre for Science, Faculty of Science and Technology, Athabasca University, Edmonton, Canada.
Mathematical Biosciences and Engineering : MBE
|February 9, 2022
Summary
This study models happiness dynamics, revealing that sustainable happiness requires cultivating eudaimonic emotions, which transcend the limits of the hedonic treadmill. Lasting well-being is achievable beyond homeostatic levels.
Area of Science:
- Psychology
- Mathematical Modeling
- Well-being Science
Background:
- Positive psychology defines happiness through hedonic (pleasure) and eudaimonic (meaning/purpose) dimensions.
- Understanding happiness dynamics is crucial for achieving sustainable well-being.
- The 'hedonic treadmill' describes the tendency to return to a baseline happiness level despite positive events.
Purpose of the Study:
- To propose a mathematical model describing the time dynamics of an individual's happiness.
- To investigate the interplay between hedonic and eudaimonic well-being in happiness.
- To explore pathways toward achieving sustainable happiness beyond homeostatic limits.
Main Methods:
- Development of a mathematical model using nonlinear ordinary differential equations.
- Integration of hedonic and eudaimonic well-being components within the model.
- Analysis of the model's dynamics to identify conditions for lasting happiness.
Main Results:
- The mathematical model elucidates the role of emotions in happiness.
- It explains the struggle for sustainable happiness and the hedonic treadmill phenomenon.
- Distinct dynamical bifurcations indicate that eudaimonic emotions can lead to happiness beyond hedonic homeostasis.
Conclusions:
- Lasting happiness may be attainable by fostering consistent eudaimonic emotions or altruistic qualities.
- Eudaimonic well-being operates beyond the constraints of the hedonic homeostatic system.
- Mathematical modeling provides novel insights into the complex dynamics of human happiness.
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