Complexity classes

PPAD (complexity)

In computer science, PPAD ("Polynomial Parity Arguments on Directed graphs") is a complexity class introduced by Christos Papadimitriou in 1994. PPAD is a subclass of TFNP based on functions that can be shown to be total by a parity argument. The class attracted significant attention in the field of algorithmic game theory because it contains the problem of computing a Nash equilibrium: this problem was shown to be complete for PPAD by Daskalakis, Goldberg and Papadimitriou with at least 3 players and later extended by Chen and Deng to 2 players. (Wikipedia).

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23. PPAD Reductions

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Related pages

Brouwer fixed-point theorem | Nash equilibrium | PPP (complexity) | NP-completeness | P versus NP problem | Algorithmic game theory | Arrow–Debreu model | FNP (complexity) | Function problem | PPA (complexity) | TFNP | Vertex (graph theory) | Epsilon-equilibrium | FP (complexity) | Envy-free cake-cutting | Complete (complexity) | Complexity class