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Controlling forever love.

Jorge Herrera de la Cruz1, José-Manuel Rey2

  • 1Department of Applied Mathematics and Statistics, CEU University, Madrid, Spain.

Plos One
|December 29, 2021
PubMed
Summary
This summary is machine-generated.

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This study models relationship effort as a control engineering problem, developing a mathematical framework to understand how couples maintain long-term happiness and stability. The findings offer insights into marital dynamics and the impact of differences within relationships.

Area of Science:

  • Mathematical Modeling
  • Social Psychology
  • Control Engineering

Background:

  • Stable relationships are crucial for happiness in Western societies.
  • Maintaining a long-term relationship can be conceptualized as a control problem.
  • Effort is a key variable in sustaining relationship quality.

Purpose of the Study:

  • To introduce a novel mathematical model for relationship effort control.
  • To formulate the problem as a dynamic game with nonlinearities.
  • To computationally explore factors influencing relationship stability and happiness.

Main Methods:

  • Developed a dynamic programming approach for computational formulation.
  • Created an algorithm to find numerical solutions for couple's effort.

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  • Utilized computational analysis and simulation for exploring relationship dynamics.
  • Main Results:

    • The model explores feeling trajectories and effort control paths.
    • Identified stabilization mechanisms for successful couples.
    • Analyzed the impact of heterogamy on marital quality and effort.

    Conclusions:

    • The mathematical model provides a framework for understanding relationship maintenance.
    • Simulation analysis offers insights into marital quality and effort patterns.
    • The study highlights the role of effort and couple dynamics in relationship success.