### Abstract

We develop a differential equation model of dyadic interaction that embodies the basic assumption that members of intimate couples form an interactive system in which the behavior of each member of a couple is influenced by the other's behavior and by goals that each person has for herself or himself. The dynamic solutions of this system suggest that when each person in the dyad is "cooperative", then an equilibrium can be approached. The equilibrium represents a compromise position between the individuals' own ideals and those of the partner. On the other hand, if one individual, or both, is uncooperative, then this system often, but not always, becomes unstable. One paradoxical deduction from the model is that, through mutual cooperation, couples can experience periods of stability, but such stable situations are not necessarily satisfying.

Original language | English (US) |
---|---|

Pages (from-to) | 155-180 |

Number of pages | 26 |

Journal | Journal of Mathematical Sociology |

Volume | 23 |

Issue number | 3 |

State | Published - 1999 |

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### Keywords

- Couples
- Differential equation model
- Dynamic model
- Relationship stability
- Systems theory

### ASJC Scopus subject areas

- Mathematics (miscellaneous)
- Social Sciences (miscellaneous)
- Sociology and Political Science

### Cite this

*Journal of Mathematical Sociology*,

*23*(3), 155-180.

**A dynamic systems model of dyadic interaction.** / Felmlee, Diane H.; Greenberg, David.

Research output: Contribution to journal › Article

*Journal of Mathematical Sociology*, vol. 23, no. 3, pp. 155-180.

}

TY - JOUR

T1 - A dynamic systems model of dyadic interaction

AU - Felmlee, Diane H.

AU - Greenberg, David

PY - 1999

Y1 - 1999

N2 - We develop a differential equation model of dyadic interaction that embodies the basic assumption that members of intimate couples form an interactive system in which the behavior of each member of a couple is influenced by the other's behavior and by goals that each person has for herself or himself. The dynamic solutions of this system suggest that when each person in the dyad is "cooperative", then an equilibrium can be approached. The equilibrium represents a compromise position between the individuals' own ideals and those of the partner. On the other hand, if one individual, or both, is uncooperative, then this system often, but not always, becomes unstable. One paradoxical deduction from the model is that, through mutual cooperation, couples can experience periods of stability, but such stable situations are not necessarily satisfying.

AB - We develop a differential equation model of dyadic interaction that embodies the basic assumption that members of intimate couples form an interactive system in which the behavior of each member of a couple is influenced by the other's behavior and by goals that each person has for herself or himself. The dynamic solutions of this system suggest that when each person in the dyad is "cooperative", then an equilibrium can be approached. The equilibrium represents a compromise position between the individuals' own ideals and those of the partner. On the other hand, if one individual, or both, is uncooperative, then this system often, but not always, becomes unstable. One paradoxical deduction from the model is that, through mutual cooperation, couples can experience periods of stability, but such stable situations are not necessarily satisfying.

KW - Couples

KW - Differential equation model

KW - Dynamic model

KW - Relationship stability

KW - Systems theory

UR - http://www.scopus.com/inward/record.url?scp=0033245712&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033245712&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033245712

VL - 23

SP - 155

EP - 180

JO - Journal of Mathematical Sociology

JF - Journal of Mathematical Sociology

SN - 0022-250X

IS - 3

ER -