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Dynamics of Bridging and Bonding in Social Groups: A Multi-Agent Model

Dynamics of Bridging and Bonding in Social Groups: A Multi-Agent Model. Jeffrey Baumes, Hung-Ching Chen Matthew Francisco, Mark Goldberg Malik Magdon-Ismail, Al Wallace. Rensselaer Polytechnic Institute, Troy, NY. Model overview. Dynamic group membership simulation

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Dynamics of Bridging and Bonding in Social Groups: A Multi-Agent Model

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  1. Dynamics of Bridging and Bonding in Social Groups:A Multi-Agent Model Jeffrey Baumes, Hung-Ching Chen Matthew Francisco, Mark Goldberg Malik Magdon-Ismail, Al Wallace Rensselaer Polytechnic Institute, Troy, NY

  2. Model overview • Dynamic group membership simulation • Agents may belong to more than one social group at a given time • Decisions are modeled by guided but random processes • Incorporates ideas of energy and social capital • Agents have a rank in each group based on their time in the group

  3. Agent main loop Compute excess energy Decide action LEAVE, JOIN, STAY Update social capital

  4. Compute excess energy Number of groups participating in Total rank in those groups Total energy Bridging (breadth) cost Bonding (depth) cost

  5. Compute excess energy Increasing social capital decreases the energy cost per group and the energy cost per quantity of rank Social capital

  6. Decide action Pr[Leave] Pr[Join] Pr[Stay] Probability of real action Expected action (social norm) Leave Stay Join Excess energy

  7. Update based on social interaction • If social capital is only contingent on the amount of social interaction Expected action Real action

  8. Update based on social norms • If social capital is only contingent upon following social norms Expected action Real action

  9. Expected action Expected action J S L J S L J + + + S 0 0 0 Real action J + 0 - L - - - S 0 + 0 Real action L - 0 + Combined update Expected action Real action

  10. Expected action Expected action J S L J S L J + + + S 0 0 0 Real action J 0 0 + L - - - S - 0 + Real action L - 0 0 “Ideal” configuration Expected action Real action

  11. Expected action Expected action J S L J S L J + + + S 0 0 0 Real action J + 0 - L - - - S + 0 - Real action L + 0 0 “Real” configuration Expected action Real action

  12. Experiment • 500 agents • 500 time step simulation • Sampled from range 140-240 • Both “ideal” and “real” configurations • 3 classes of agents • 10% prefer to join small groups • 30% prefer to join medium groups • 50% prefer to join large groups

  13. Bonding energy  total energy Prefer small groups Prefer medium groups Prefer large groups Frequency Uses more bonding “ideal” configuration “real” configuration

  14. Number of groups in which the agent participates Prefer small groups Prefer medium groups Prefer large groups Frequency In more groups “ideal” configuration “real” configuration

  15. Conclusions • A method of simulation of multiple groups per agent • Model simulation demonstrates bridging and bonding behavior • Can use different update matrices based on characteristics of population of interest

  16. Future • Compare social capital in model with network definitions for social capital • Look into using Repast • Michael North • Membership layout • Malcolm Alexander

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