Thomas Hills and Peter Todd (2008)
Population Heterogeneity and Individual Differences in an Assortative Agent-Based Marriage and Divorce Model (MADAM) Using Search with Relaxing Expectations
Journal of Artificial Societies and Social Simulation
vol. 11, no. 4 5
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Received: 16-Nov-2007 Accepted: 02-Aug-2008 Published: 31-Oct-2008
Figure 1. Age at first marriage and divorce hazard rates for the United Kingdom, Iceland, and New Zealand. The curves show the mean for both sexes at a given year. Thick lines represent divorce |
(1) |
Figure 2. Age at first marriage and divorce hazard rates for differing levels of N population traits in a population with exponential rates of relaxing expectations. Lines represent mean results for 1000 replications each of 100 males and 100 females who meet only 4 individuals of the opposite sex per year. Individuals have 10 traits (k) sampled from the number of population traits. Satisfice levels start at 10 and are exponentially relaxed according to each individual's relaxation rate, λ, sampled from the normal distribution N(0.02, 0.01). Thin lines represent hazard rates for marriage; thick lines for divorce. Time is measured in model years from the onset of reproductive age (approximately 10) |
Figure 3. Age at first marriage and divorce hazard rates for differing levels of k individual traits (indicated in circles; thin upper lines represent marriage, thicker lower lines represent divorce), with N = 15. Satisfice levels start at j = k. Otherwise the simulation parameters are as in Figure 2. As the number of individual traits k are reduced relative to the number N of traits in the population, the peak age at first marriage and peak divorce rate move to older ages |
Figure 4. Marriage and divorce hazard rates for differing mean rates of relaxing expectations (μ). σ = μ / 2. Otherwise parameters are as in Figure 2, with N = 15 and k = 10. As individuals become pickier and relax their expectations more slowly, marriage rates go down in tandem with divorce rates |
Figure 5. Marriage and divorce hazard rates for different amounts of variance (σ) in the population's rate of relaxing expectations. μ = 0.02, N = 15, and k = 10. Otherwise, parameters are as in Figure 2. As variance in the rate of relaxing expectations increases, marriage rates go down and divorce rates go up. Also notice that age at first marriage is reduced on average with increasing variance |
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