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: "efficient equilibria in polymatrix coordination games"
  Abstract: We consider polymatrix coordination games with individual preferences where every player corresponds to a node in a graph who plays with each neighbor a separate bimatrix game with non-negative symmetric payoffs. In this paper, we study $\alpha$-approximate $k$-equilibria of these games, i.e., outcomes where no group of at most $k$ players can deviate such that each member increases his payoff by at least a factor $\alpha$. We prove that for $\alpha \ge 2$ these games have the finite coalitional improvement property (and thus $\alpha$-approximate $k$-equilibria exist), while for $\alpha < 2$ this property does not hold. Further, we derive an almost tight bound of $2\alpha(n-1)/(k-1)$ on the price of anarchy, where $n$ is the number of players; in particular, it scales from unbounded for pure Nash equilibria ($k = 1)$ to $2\alpha$ for strong equilibria ($k = n$). We also settle the complexity of several problems related to the verification and existence of these equilibria. Finally, we investigate natural means to reduce the inefficiency of Nash equilibria. Most promisingly, we show that by fixing the strategies of $k$ players the price of anarchy can be reduced to $n/k$ (and this bound is tight).

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 "coordination games on weighted directed graphs"):
  with members:
    - "self stabilization through the lens of game theory"
    - "efficient local search in coordination games on graphs"
    - "coordination games on directed graphs"
    - "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-3 (induced by source paper "self stabilization through the lens of game theory"):
  with members:
    - "coordination games on directed graphs"
    - "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-4 (induced by source paper "efficient local search in coordination games on graphs"):
  with members:
    - "coordination games on directed graphs"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"
    - "on the structure of weakly acyclic games"

Connected through hyperedge HE-5 (induced by source paper "price of anarchy for graph coloring games with concave payoff"):
  with members:
    - "coordination games on graphs"
    - "anti coordination games and stable graph colorings"
    - "approximate graph coloring by semidefinite programming"

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)