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List of PPAD-complete problems

This is a list of PPAD-complete problems.

Fixed-point theorems Sperner's lemma Brouwer fixed-point theorem Kakutani fixed-point theorem

Game theory Nash equilibrium Core of Balanced Games

Equilibria in game theory and economics Fisher market equilibria Arrow-Debreu equilibria Approximate Competitive Equilibrium from Equal Incomes Finding clearing payments in financial networks

Graph theory Fractional stable paths problems Fractional hypergraph matching (see also the NP-complete Hypergraph matching) Fractional strong kernel

Miscellaneous Scarf's lemma Fractional bounded budget connection games

References Papadimitriou, Christos (1994). "On the Complexity of the Parity Argument and Other Inefficient Proofs of Existence". Journal of Computer and System Sciences. 48 (3): 498–532. CiteSeerX 10.1.1.321.7008. doi:10.1016/S0022-0000(05)80063-7. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help) Paper available online at Papadimitriou's Homepage. C. Daskalakis, P. W. Goldberg and C.H. Papadimitriou (2009). "The Complexity of Computing a Nash Equilibrium". SIAM Journal on Computing. 39 (3): 195–259. CiteSeerX 10.1.1.68.6111. doi:10.1137/070699652. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help) Xi Chen; Xiaotie Deng (2006). "Settling the complexity of two-player Nash equilibrium". Proc. 47th FOCS. pp. 261–272.

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