Structural Models in Sociology

Douglas R. White, Frank Harary

Let's tell a simple story: people born of social networks meet markets for schooling, friendships, work, ownership and interact through actor choices under constraint.

  1. Formal Reasoning
    1. graph theory with properties = networks
    2. formal theory and substantive models
  2. Structural Endogamy through Relinking
    1. marriage and offspring
    2. graph theoretic blocks and cycles, dfs tree traversal
    3. social units: ethnicity, occupation, social class, elites
    4. property consolidation
  3. Communities and Segregation
    1. The Grannis Connection I: Neighborhood Relinking and Ethnic Homogeneity
    2. The Grannis Connection II: The Urban Transport Corridors
  4. Markets
    1. reciprocity, friendship, pooling, exchange
    2. core and periphery: how markets are structured
    3. social games and the economy
  5. Network Flows and Game Theory email: ask Elisa Bienenstock for copy of her article here
    1. empirical base of economy: matching, allocation, scarcity
    2. empirical base of society: Mobility, Education, Cultural Capital
    3. Possession, Ownership, Inheritance, Exchange
    4. Corporations, Domestic Spheres, Social Networks