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: "near optimal communication lower bounds for approximate nash equilibria"
  Abstract: We prove an $N^{2-o(1)}$ lower bound on the randomized communication complexity of finding an $\epsilon$-approximate Nash equilibrium (for constant $\epsilon>0$) in a two-player $N\times N$ game.

Connected through hyperedge HE-1 (induced by source paper "complexity theory game theory and economics the barbados lectures"):
  with members:
    - "a round collapse theorem for computationally sound protocols or tfnp is hard on average in pessiland"
    - "on communication complexity of fixed point computation"
    - "query to communication lifting for bpp"
    - "lifting randomized query complexity to randomized communication complexity"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "the price of anarchy in auctions"
    - "communication complexity for algorithm designers"

Connected through hyperedge HE-2 (induced by source paper "on the existence of pareto efficient and envy free allocations"):
  with members:
    - "communication complexity of cake cutting"
    - "almost envy freeness with general valuations"
    - "approximating the nash social welfare with budget additive valuations"
    - "communication complexity of discrete fair division"
    - "convex program duality fisher markets and nash social welfare"
    - "computing equilibria in markets with budget additive utilities"
    - "nash social welfare for indivisible items under separable piecewise linear concave utilities"
    - "communication complexity of approximate nash equilibria"

Connected through hyperedge HE-3 (induced by source paper "on communication complexity of fixed point computation"):
  with members:
    - "complexity theory game theory and economics"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "inapproximability of nash equilibrium"
    - "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-4 (induced by source paper "smoothed efficient algorithms and reductions for network coordination games"):
  with members:
    - "improving the smoothed complexity of flip for max cut problems"
    - "efficient local search in coordination games on graphs"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "the price of anarchy in auctions"
    - "inapproximability of nash equilibrium"
    - "constant rank bimatrix games are ppad hard"
    - "reducibility among fractional stability problems"

Connected through hyperedge HE-5 (induced by source paper "nash equilibrium in smoothed polynomial time for network coordination games"):
  with members:
    - "local max cut in smoothed polynomial time"
    - "an empirical study on computing equilibria in polymatrix games"
    - "communication complexity of approximate nash equilibria"
    - "inapproximability of nash equilibrium"
    - "constant rank bimatrix games are ppad hard"
    - "query complexity of approximate nash equilibria"
    - "bilinear games polynomial time algorithms for rank based subclasses"
    - "an experimental analysis of lemke howson algorithm"

Connected through hyperedge HE-6 (induced by source paper "the communication complexity of local search"):
  with members:
    - "combinatorial auctions with endowment effect"
    - "query to communication lifting for bpp"
    - "lifting randomized query complexity to randomized communication complexity"
    - "communication complexity of approximate nash equilibria"
    - "communication lower bounds via critical block sensitivity"

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.CC(Computational Complexity)