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: "pure nash equilibria hard and easy games"
  Abstract: We investigate complexity issues related to pure Nash equilibria of strategic games. We show that, even in very restrictive settings, determining whether a game has a pure Nash Equilibrium is NP-hard, while deciding whether a game has a strong Nash equilibrium is Σ2P-complete. We then study practically relevant restrictions that lower the complexity. In particular, we are interested in quantitative and qualitative restrictions of the way each player's payoff depends on moves of other players. We say that a game has small neighborhood if the utility function for each player depends only on (the actions of) a logarithmically small number of other players. The dependency structure of a game G can be expressed by a graph G(G) or by a hypergraph H(G). By relating Nash equilibrium problems to constraint satisfaction problems (CSPs), we show that if G has small neighborhood and if H(G) has bounded hypertree width (or if G(G) has bounded treewidth), then finding pure Nash and Pareto equilibria is feasible in polynomial time. If the game is graphical, then these problems are LOGCFL-complete and thus in the class NC2 of highly parallelizable problems.

Connected through hyperedge HE-1 (induced by source paper "graphical one sided markets"):
  with members:
    - "schelling games on graphs"
    - "swap stability in schelling games on graphs"
    - "maximin share allocations on cycles"
    - "schelling segregation with strategic agents"
    - "fair allocation of indivisible items with externalities"
    - "almost envy free allocations with connected bundles"
    - "fair division of a graph"
    - "fair division via social comparison"

Connected through hyperedge HE-2 (induced by source paper "computing equilibria in binary networked public goods games"):
  with members:
    - "graphical models for game theory"
    - "a game theoretic framework for incentives in p2p systems"

Connected through hyperedge HE-3 (induced by source paper "a quantum annealing algorithm for finding pure nash equilibria in graphical games"):
  with members:
    - "graphical models for game theory"

Connected through hyperedge HE-4 (induced by source paper "utility design for distributed resource allocation part ii applications to submodular covering and supermodular problems"):
  with members:
    - "distributed resource allocation through utility design part i optimizing the performance certificates via the price of anarchy"
    - "the impact of local information on the performance of multiagent systems"
    - "competitive caching of contents in 5g edge cloud networks"
    - "optimal approximation for submodular and supermodular optimization with bounded curvature"
    - "stochastic surveillance strategies for spatial quickest detection"
    - "efficient minimization of decomposable submodular functions"
    - "combinatorial auctions with decreasing marginal utilities"

Connected through hyperedge HE-5 (induced by source paper "distributed resource allocation through utility design part ii applications to submodular supermodular and set covering problems"):
  with members:
    - "distributed resource allocation through utility design part i optimizing the performance certificates via the price of anarchy"
    - "multiagent maximum coverage problems the trade off between anarchy and stability"
    - "competitive caching of contents in 5g edge cloud networks"
    - "optimal approximation for submodular and supermodular optimization with bounded curvature"
    - "stochastic surveillance strategies for spatial quickest detection"
    - "efficient minimization of decomposable submodular functions"
    - "combinatorial auctions with decreasing marginal utilities"

Connected through hyperedge HE-6 (induced by source paper "on existence mixtures computation and efficiency in multi objective games"):
  with members:
    - "graphical models for game theory"

Connected through hyperedge HE-7 (induced by source paper "ranked enumeration of minimal triangulations"):
  with members:
    - "constraint solving via fractional edge covers"
    - "on distance d independent set and other problems in graphs with few minimal separators"
    - "flexible caching in trie joins"
    - "reduction techniques for graph isomorphism in the context of width parameters"
    - "large induced subgraphs via triangulations and cmso"
    - "hypertree decompositions and tractable queries"

Connected through hyperedge HE-8 (induced by source paper "correlated equilibria for approximate variational inference in mrfs"):
  with members:
    - "graphical potential games"
    - "on sparse discretization for graphical games"
    - "projecting ising model parameters for fast mixing"
    - "graphical models for game theory"
    - "adaptive importance sampling for estimation in structured domains"
    - "a new class of upper bounds on the log partition function"
    - "polynomial time computation of exact correlated equilibrium in compact games"
    - "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)