Before revision:  These are then mapped to a generalized Ising model , describing the correlations between the players ' outcomes in a way that is agnostic to the existence of a link, but that coincides with the correlation device if there is one.
After revision:  These are then mapped to a generalized Ising model . Using the response strategy framework, we describe how the actions of the players can bring the network into a steady configuration, starting from an out-of-equilibrium one. We obtain these configurations using game-theoretical tools, and describe the results using Ising parameters. We exhaust the two-player case, giving a detailed account of all the equilibrium possibilities.