Model Description
This discrete time model represents a coupled system as seen through talk turns in a conversation between a wife and husband where each exerts influence dynamically on the other. Cook et al. (1995) develop this entirely social model based on empirical observations of marital conflict in the Gottman Love Lab, a University of Washington social laboratory studying marital conflict and resolution. The authors developed this model, then confirmed the model through turn-wise application of the model to several fifteen minute conversations between married couples. Many of the parameters in this model are person and situation specific.
$\begin{equation}
W_{(t+1)} = I_{HW}(H_t) + r_1 W_t + a
\end{equation}$ |
| This model represents a coupled system of seen through talk turns in a conversation between a wife and husband where each exerts influence dynamically on the other. The asymmetrical indices arise from the assumption that in this conversation the wife speaks first. In equation 1, the state of the wife at each instance of the interaction W_(t+1) is the sum of the influence that the husband exerts on the wife (I_WH) times the husband's current state (H_t) plus the rate a which the wife returns to her uninfluenced state (r_1) and the natural uninfluenced state of the wife, the person-specific constant, a. |
$\begin{equation}
H_{(t+1)} = I_{WH}(W_{t+1}) + r_2H_t + b
\end{equation}$ |
| In equation 2 , the state of the husband at each instance of the interaction (H_(t+1)) is the sum of the influence that the wife exerts on the husband (I_WH) times the wife's state (W_(t+1) plus the rate a which the husband returns to his uninfluenced state (r_2) and the natural uninfluenced state of the husband, the person-specific constant, b. |
# Marriage conflict for SES library par a= 1, b=1, r=0.7, s=0.1, I=1.2, J=1.1 W(t+1) =I*H + r*W + a H(t+1) = J*W + s*H + b @ xp=H,yp=W done
Bowers N, Arizona State University.
. 1995. Mathematics of Marital Conflict: Qualitative Dynamic Mathematic Modeling of Marital Interaction. Journal of Family Psychology. 9(2)
