Abstract:We study competitive diffusion games on graphs introduced by Alon et al.[1] to model the spread of influence in social networks. Extending results of Roshanbin [8] for two players, we investigate the existence of pure Nash equilibria for at least three players on different classes of graphs including paths, cycles, grid graphs and hypercubes; as a main contribution, we answer an open question proving that there is no Nash equilibrium for three players on m × n grids with min{m, n} ≥ 5. Further, extending resu… Show more
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