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- W3038058809 abstract "We prove that it is PPAD-hard to compute a Nash equilibrium in a tree polymatrix game with twenty actions per player. This is the first PPAD hardness result for a game with a constant number of actions per player where the interaction graph is acyclic. Along the way we show PPAD-hardness for finding an e-fixed point of a 2D-LinearFIXP instance, when e is any constant less than (√2 - 1)/2 ≈ 0.2071. This lifts the hardness regime from polynomially small approximations in k-dimensions to constant approximations in two-dimensions, and our constant is substantial when compared to the trivial upper bound of 0.5." @default.
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- W3038058809 date "2020-01-01" @default.
- W3038058809 modified "2023-09-26" @default.
- W3038058809 title "Tree Polymatrix Games Are PPAD-Hard." @default.
- W3038058809 doi "https://doi.org/10.4230/lipics.icalp.2020.38" @default.
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