We study a simple game-theoretic model for the spread of an innovation in a network. The diffiusion of the innovation is modeled as the dynamics of a coordination game in which the adoption of a common strategy between players has a higher payoff. Classical results in game theory provide a simple condition for the innovation to spread through the network. The present paper characterizes the rate of convergence as a function of graph structure. In particular, we derive a dichotomy between well-connected (e.g. random) graphs that show slow convergence and poorly connected, low dimensional graphs that show fast convergence.
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Convergence to equilibrium in local interaction games
Montanari, Andrea; Saberi, Amin
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, Volume 8 (1)
Association for Computing Machinery – Jul 1, 2009
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