This paper proposes new centrality measures to characterise the 'key class', when agents in a network are sorted into … role-equivalent classes, such that its removal results in an optimal change in the network activity. The notion of role … theoretical applicability. Players in the network engage in a non-cooperative game with local payoff complementarities. We …

placing its data on others’ storage devices, given the prevailing data loss rate in the network. The cost function of an agent … captures the cost that the agent incurs to maintain links in the network. With this utility function, we analyze what network … exists a pairwise stable network, which is also efficient. We show that all pairwise stable networks are efficient, and hence …

neighbors in the social network. The same activities often exert externalities that cumulate in "stocks" affecting agents … network of social relations, as agents display strategic substitution with distance-two neighbors. We show that behavior is … behavior and key-players tend to move to the periphery of the network, and we discuss the effect of close-knit communities and …

, learning and diffusion, and network games. I also include some background on social network characteristics and measurements …, models of network formation, models for the statistical analysis of social networks, as well as community detection. …

networks form, the impact of network structure on agents' outcomes, and the evolution of networks over time. For this purpose …, we combine a network game introduced by Ballester et al. [2006], where the Nash equilibrium action of each agent is … proportional to her Bonacich centrality, with an endogenous network formation process. Links are formed on the basis of agents …

) embedded in a network have to decide how much effort they exert in some activity (say education). We show that the more central … minority agents are in the social network, the more they assimilate to the majority culture. We also show that denser networks … tend to favor assimilation so that, for example, it is easier to assimilate in a complete network than in a star …

This paper analyses a simultaneous game of network formation and information acquisition where the benefit structure is … such that the benefit that an agent derives from the network she is located in depends on the maximum information that … someone in her neighbourhood, including herself, acquires. It turns out that in equilibrium star network emerges as the unique …