human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "inapproximability of nash equilibrium"
  Abstract: We prove that finding an $\epsilon$-approximate Nash equilibrium is PPAD-complete for constant $\epsilon$ and a particularly simple class of games: polymatrix, degree 3 graphical games, in which each player has only two actions. #R##N#As corollaries, we also prove similar inapproximability results for Bayesian Nash equilibrium in a two-player incomplete information game with a constant number of actions, for relative $\epsilon$-Well Supported Nash Equilibrium in a two-player game, for market equilibrium in a non-monotone market, for the generalized circuit problem defined by Chen, Deng, and Teng [CDT'09], and for approximate competitive equilibrium from equal incomes with indivisible goods.

Connected through hyperedge HE-1 (induced by source paper "the complexity of interactively learning a stable matching by trial and error"):
  with members:
    - "a general framework for robust interactive learning"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "deterministic and probabilistic binary search in graphs"
    - "a stable marriage requires communication"
    - "the complexity of non monotone markets"
    - "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"

Connected through hyperedge HE-2 (induced by source paper "envy regret and social welfare loss"):
  with members:
    - "the ad types problem"
    - "online learning for measuring incentive compatibility in ad auctions"
    - "note on vcg vs price raising for matching markets"
    - "communication complexity of approximate nash equilibria"
    - "the price of anarchy in auctions"
    - "setting lower bounds on truthfulness"
    - "learning in auctions regret is hard envy is easy"
    - "adam a method for stochastic optimization"

Connected through hyperedge HE-3 (induced by source paper "computing exact solutions of consensus halving and the borsuk ulam theorem"):
  with members:
    - "approximating the existential theory of the reals"
    - "the complexity of splitting necklaces and bisecting ham sandwiches"
    - "an improved envy free cake cutting protocol for four agents"
    - "consensus halving is ppa complete"
    - "a discrete and bounded envy free cake cutting protocol for any number of agents"
    - "hardness results for consensus halving"
    - "recognition and complexity of point visibility graphs"
    - "a discrete and bounded envy free cake cutting protocol for four agents"

Connected through hyperedge HE-4 (induced by source paper "on communication complexity of fixed point computation"):
  with members:
    - "complexity theory game theory and economics"
    - "near optimal communication lower bounds for approximate nash equilibria"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "communication lower bounds via critical block sensitivity"
    - "query complexity of approximate nash equilibria"
    - "tight bounds for lp samplers finding duplicates in streams and related problems"
    - "metric extension operators vertex sparsifiers and lipschitz extendability"

Connected through hyperedge HE-5 (induced by source paper "multi agent learning in network zero sum games is a hamiltonian system"):
  with members:
    - "introduction to online convex optimization"
    - "the mechanics of n player differentiable games"
    - "cycles in adversarial regularized learning"
    - "training gans with optimism"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "constant rank bimatrix games are ppad hard"
    - "settling the complexity of computing two player nash equilibria"

Connected through hyperedge HE-6 (induced by source paper "hardness amplification of optimization problems"):
  with members:
    - "on nondeterministic derandomization of freivalds algorithm consequences avenues and algorithmic progress"
    - "integer factoring and modular square roots"
    - "a birthday repetition theorem and complexity of approximating dense csps"
    - "simulating branching programs with edit distance and friends or a polylog shaved is a lower bound made"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "edit distance cannot be computed in strongly subquadratic time unless seth is false"
    - "settling the complexity of computing two player nash equilibria"

Connected through hyperedge HE-7 (induced by source paper "a tight analysis of greedy yields subexponential time approximation for uniform decision tree"):
  with members:
    - "generalized binary search for split neighborly problems"
    - "approximation algorithms for optimal decision trees and adaptive tsp problems"
    - "inapproximability of vc dimension and littlestone s dimension"
    - "efficient test selection in active diagnosis via entropy approximation"
    - "noisy bayesian active learning"
    - "adaptive submodularity theory and applications in active learning and stochastic optimization"
    - "average case active learning with costs"

Connected through hyperedge HE-8 (induced by source paper "monotonic and non monotonic solution concepts for generalized circuits"):
  with members:
    - "the complexity of fairness through equilibrium"
    - "settling the complexity of computing two player nash equilibria"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.GT(Computer Science and Game Theory)