paper
Ising Game on Graphs
Andrey Leonidov, Alexey Savvateev, Andrew G. Semenov
Ising Game on Graphs
Andrey Leonidov, Alexey Savvateev, Andrew G. Semenov
Paper2021-07-20English
game theory economicsarxiv
Description
Static and dynamic equilibria in noisy binary choice (Ising) games on complete and random graphs in the annealed approximation are analysed. Two versions, an Ising game with interaction term defined in accordance with the Ising model in statistical physics and a reduced Ising game with a customary definition of interaction term in game theory on graphs, are considered. A detailed analysis of hysteresis phenomenon shaping the pattern of static equilibria based on consideration of elasticity with ...
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