The transmission of continuous cultural traits in endogenous social networks

We study a model of transmission of continuous cultural traits across generations where children learn their cultural trait from their parents and their social environment modeled by a network. Parents can engage in the socialization process of their children by biasing links in the network in order for their children to adopt a cultural trait similar to their own. In this endogenous network, we study the emergence of positive and negative role models, the existence of a steady state cultural trait, its characterization in terms long-run influence of each dynasty, and the speed of convergence.