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: "coordination games on directed graphs"
  Abstract: We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of determining their existence is NP-complete. The same holds for strong equilibria. We also exhibit some classes of games for which strong equilibria exist and prove that a strong equilibrium can then be found in linear time.

Connected through hyperedge HE-1 (induced by source paper "coordination games on weighted directed graphs"):
  with members:
    - "self stabilization through the lens of game theory"
    - "efficient local search in coordination games on graphs"
    - "efficient equilibria in polymatrix coordination games"
    - "existence of stability in hedonic coalition formation games"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"
    - "social network games"
    - "diffusion in social networks with competing products"

Connected through hyperedge HE-2 (induced by source paper "self stabilization through the lens of game theory"):
  with members:
    - "efficient equilibria in polymatrix coordination games"
    - "self stabilizing uncoupled dynamics"
    - "petri games synthesis of distributed systems with causal memory"
    - "a classification of weakly acyclic games"
    - "computer science and game theory a brief survey"
    - "rational secret sharing and multiparty computation extended abstract"

Connected through hyperedge HE-3 (induced by source paper "reasoning about social choice and games in monadic fixed point logic"):
  with members:
    - "fair allocation of indivisible items with externalities"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"
    - "arithmetic first order logic and counting quantifiers"

Connected through hyperedge HE-4 (induced by source paper "computational aspects of equilibria in discrete preference games"):
  with members:
    - "on discrete preferences and coordination"
    - "how bad is forming your own opinion"

Connected through hyperedge HE-5 (induced by source paper "efficient local search in coordination games on graphs"):
  with members:
    - "efficient equilibria in polymatrix coordination games"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"
    - "on the structure of weakly acyclic games"

Connected through hyperedge HE-6 (induced by source paper "constrained pure nash equilibria in polymatrix games"):
  with members:
    - "coordination games on graphs"
    - "graphical models for game theory"
    - "pure nash equilibria hard and easy games"

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)