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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…

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Relations to other complexity classes

PPAPPPNP-completenessNash equilibriaComputing fixed points
11 related topics

Definition

Function problemsFNPTotalVertex
4 related topics

Other notable complete problems

Epsilon-equilibriumSperner's LemmaEnvy-free cake-cutting
3 related topics

Proving membership in PPAD

Irrational numbers
1 related topics

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Definition

Proving membership in PPAD

Relations to other complexity classes

Other notable complete problems

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PPAD (complexity)

Nodes32
Edges31
Triples0
Avg. degree1.94
Density0.0625
Components1

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Important terminology

ppad class tfnp problems parity complete complexity finding nash given solution known cases subclass based functions game computing equilibrium papadimitriou

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SubjectPredicateObjectConfidenceSrc

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