Multi-player Diffusion Games on Graph ClassesReport as inadecuate




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1 SWT - TUB - Department of Software Engineering and Theoretical Computer Science

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 7 for two players, we investigate the existence of pure Nash equilibria for at least three players on different classes of graphs including paths, cycles, and grid graphs. As a main result, we answer an open question proving that there is no Nash equilibrium for three players on m × n grids with min{m, n} ≥ 5.





Author: Laurent Bulteau - Vincent Froese - Nimrod Talmon -

Source: https://hal.archives-ouvertes.fr/



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