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- W3081265119 abstract "We study the complexity of computing or approximating refinements of Nash equilibrium for finite n-player extensive form games of perfect recall (EFGPR), n≥3. Our results apply to a number of well-studied refinements, including sequential equilibrium, extensive-form perfect equilibrium, and quasi-perfect equilibrium. Informally, we show that, for all these refinements, approximating such a refined equilibrium for an n-player EFGPR is not any harder than (i.e., can be efficiently reduced to) approximating a Nash equilibrium for a 3-player normal form game. More specifically, we show that approximating such a refined equilibrium for a given EFGPR, within given desired precision, is FIXPa-complete. We also study corresponding notions of “almost” equilibrium for these refinements, and we show that computing one is PPAD-complete. (In all these cases our main results show containment in FIXPa and containment in PPAD. Hardness follows from earlier results for simpler games.)" @default.
- W3081265119 created "2020-09-01" @default.
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- W3081265119 date "2021-01-01" @default.
- W3081265119 modified "2023-09-28" @default.
- W3081265119 title "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game" @default.
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- W3081265119 doi "https://doi.org/10.1016/j.geb.2019.03.006" @default.
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