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: "the complexity of nash equilibria in limit average games"
  Abstract: We study the computational complexity of Nash equilibria in concurrent games with limit-average objectives. In particular, we prove that the existence of a Nash equilibrium in randomised strategies is undecidable, while the existence of a Nash equilibrium in pure strategies is decidable, even if we put a constraint on the payoff of the equilibrium. Our undecidability result holds even for a restricted class of concurrent games, where nonzero rewards occur only on terminal states. Moreover, we show that the constrained existence problem is undecidable not only for concurrent games but for turn-based games with the same restriction on rewards. Finally, we prove that the constrained existence problem for Nash equilibria in (pure or randomised) stationary strategies is decidable and analyse its complexity.

Connected through hyperedge HE-1 (induced by source paper "the complexity of subgame perfect equilibria in quantitative reachability games full version"):
  with members:
    - "constrained existence problem for weak subgame perfect equilibria with ω regular boolean objectives"
    - "computer aided synthesis a game theoretic approach"
    - "on the existence of weak subgame perfect equilibria"
    - "admissibility in quantitative graph games"
    - "the complexity of admissibility in omega regular games"
    - "multiplayer cost games with simple nash equilibria"

Connected through hyperedge HE-2 (induced by source paper "nash equilibria in games over graphs equipped with a communication mechanism"):
  with members:
    - "games on graphs with a public signal monitoring"

Connected through hyperedge HE-3 (induced by source paper "computer aided synthesis a game theoretic approach"):
  with members:
    - "on the existence of weak subgame perfect equilibria"
    - "extending finite memory determinacy to multiplayer games"
    - "conditionally optimal algorithms for generalized buchi games"
    - "weak subgame perfect equilibria and their application to quantitative reachability"
    - "assume admissible synthesis"
    - "on the complexity of heterogeneous multidimensional quantitative games"
    - "non zero sum games for reactive synthesis"
    - "pure nash equilibria in concurrent deterministic games"

Connected through hyperedge HE-4 (induced by source paper "games on graphs with a public signal monitoring"):
  with members:
    - "decidability results for atl with imperfect information and perfect recall"
    - "deviator detection under imperfect monitoring"
    - "strategy logic with imperfect information"
    - "hierarchical information and the synthesis of distributed strategies"
    - "infinite games with finite knowledge gaps"
    - "model checking an alternating time temporal logic with knowledge imperfect information perfect recall and communicating coalitions"
    - "algorithms for omega regular games with imperfect information"

Connected through hyperedge HE-5 (induced by source paper "stochastic equilibria under imprecise deviations in terminal reward concurrent games"):
  with members:
    - "partial observation stochastic games how to win when belief fails"

Connected through hyperedge HE-6 (induced by source paper "games with delays a frankenstein approach"):
  with members:
    - "two player perfect information shift invariant submixing stochastic games are half positional"
    - "doomsday equilibria for omega regular games"
    - "robust equilibria in concurrent games"
    - "on equilibria in quantitative games with reachability safety objectives"

Connected through hyperedge HE-7 (induced by source paper "pure nash equilibria in concurrent deterministic games"):
  with members:
    - "existence of secure equilibrium in multi player games with perfect information"
    - "robust equilibria in concurrent games"
    - "on the expressiveness and complexity of atl"

Connected through hyperedge HE-8 (induced by source paper "incentive stackelberg mean payoff games"):
  with members:
    - "multiplayer cost games with simple 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)