1. Stress on Social Networks formed in a Mobile and Diverse World CS 460 December 8, 2005

2. What is it? This model simulate how stress affects the dynamics of social networks created in a mobile and diverse society. This model simulate how stress affects the dynamics of social networks created in a mobile and diverse society. In the original segregation model, we see that segregated communities results from even low levels of desire to live among others similar to oneself. In the original segregation model, we see that segregated communities results from even low levels of desire to live among others similar to oneself. We extend the model by including networks formed during a person’s searched for his/her desired community. We extend the model by including networks formed during a person’s searched for his/her desired community. We also examine how stress affect the formation of social network. We also examine how stress affect the formation of social network.

3. Few Simple Rules The world is simulated as a closed system so people cannot leave the world nor can new people come into the world. The world is simulated as a closed system so people cannot leave the world nor can new people come into the world. Based on the level of percent similar wanted, the agents move around till the specified percentage of similarity is satisfied. Based on the level of percent similar wanted, the agents move around till the specified percentage of similarity is satisfied. Along the way of finding their “desired” communities, people meet other people. Upon the meeting, a link or bond is created. Soon a network of “friends” is established. Along the way of finding their “desired” communities, people meet other people. Upon the meeting, a link or bond is created. Soon a network of “friends” is established. The strength of the relationship or bond between any two person is determined randomly. The strength is given a number between 0 and 9 with 9 between the strongest and 0 the weakest. The strength of the relationship or bond between any two person is determined randomly. The strength is given a number between 0 and 9 with 9 between the strongest and 0 the weakest.

4. Rules Cont. The observer can inject stress into the world anytime during the simulation. The observer can inject stress into the world anytime during the simulation. Once stress is injected, those who are affected will pass on their stress to their nearest friends/neighbors. It also dissipates over time. Once stress is injected, those who are affected will pass on their stress to their nearest friends/neighbors. It also dissipates over time. Each time that a portion of stress is passed on to your neighbor, the link is weaken. Each time that a portion of stress is passed on to your neighbor, the link is weaken. When the strength of the bond reaches 0, the link is broken When the strength of the bond reaches 0, the link is broken

5. Setup At setup, one can specify the number of persons and groups that he or she want in the world. One can also specify a single homogenous society. At setup, one can specify the number of persons and groups that he or she want in the world. One can also specify a single homogenous society. The world spawns an equal number of people for each group. The world spawns an equal number of people for each group. The world created at setup is stress free. The world created at setup is stress free. During the simulation, when stress can be injected into the system. During the simulation, when stress can be injected into the system. The person affected change color in the shade of red. The more stressed they are, the darker they become. The person affected change color in the shade of red. The more stressed they are, the darker they become. Choose the stress dissipation and disperse rate Choose the stress dissipation and disperse rate Dissipate rate – how fast stress dissipate over time Dissipate rate – how fast stress dissipate over time Disperse ratio – what percentage of stress is passed onto your friends through networks Disperse ratio – what percentage of stress is passed onto your friends through networks Choose percent of similarity wanted Choose percent of similarity wanted

6. Plots Log10 Plot Log10 Plot This first plot track the dissipation of stress in the system. Relation Length Distance Plot Relation Length Distance Plot This second plot display the distribution of the relation (i.e., link) length. The distribution is plotted for three different types of relations: This second plot display the distribution of the relation (i.e., link) length. The distribution is plotted for three different types of relations: 1) relations between similar group 2) relations between different groups 3) relations for the whole population Average Relation Length Plot Average Relation Length Plot This third plot gives the average relation length of the three relations groups (specified above). This third plot gives the average relation length of the three relations groups (specified above). Correlation Function Correlation Function This plot graph the number of neighbors each person has within a certain distance from themselves.

7. Results System does not stabilizes till stress is completely dissipated System does not stabilizes till stress is completely dissipated Bonds are continuously breaking due to stress Bonds are continuously breaking due to stress In a homogenous system (society), the relation length is 1 In a homogenous system (society), the relation length is 1 People don’t need to travel far to find a happy community People don’t need to travel far to find a happy community In a more diverse system (society), there observe some major differences In a more diverse system (society), there observe some major differences The relation length has a broader distribution. The relation length has a broader distribution. The broader distribution is contributed by diversity and intolerance. The broader distribution is contributed by diversity and intolerance. Observe that the contribution to the large relation length count is often due to one person’s connection to many other persons of different group. Observe that the contribution to the large relation length count is often due to one person’s connection to many other persons of different group. Stress eventually broke all bonds and long distance relations can only be maintained when stress have completely dissipated. Stress eventually broke all bonds and long distance relations can only be maintained when stress have completely dissipated.

8. Results Looking at the correlation graph, we find that similar relations have a higher close neighbor count than dissimilar relations. Looking at the correlation graph, we find that similar relations have a higher close neighbor count than dissimilar relations. This suggests that similar people are attracted to one another while dissimilar people repel one another. This suggests that similar people are attracted to one another while dissimilar people repel one another. Higher percentage of similar wanted (or intolerance level) also increases relations length for both similar and dissimilar relations Higher percentage of similar wanted (or intolerance level) also increases relations length for both similar and dissimilar relations Critical point at 50% Critical point at 50% Suggest that people have to wander around longer to find their desired community and along the way make more connections Suggest that people have to wander around longer to find their desired community and along the way make more connections