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: "existence of secure equilibrium in multi player games with perfect information"
  Abstract: Secure equilibrium is a refinement of Nash equilibrium, which provides some security to the players against deviations when a player changes his strategy to another best response strategy. The concept of secure equilibrium is specifically developed for assume-guarantee synthesis and has already been applied in this context. Yet, not much is known about its existence in games with more than two players. In this paper, we establish the existence of secure equilibrium in two classes of multi-player perfect information turn-based games: (1) in games with possibly probabilistic transitions, having countable state and finite action spaces and bounded and continuous payoff functions, and (2) in games with only deterministic transitions, having arbitrary state and action spaces and Borel payoff functions with a finite range (in particular, qualitative Borel payoff functions). We show that these results apply to several types of games studied in the literature.

Connected through hyperedge HE-1 (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-2 (induced by source paper "on the existence of weak subgame perfect equilibria"):
  with members:
    - "computer aided synthesis a game theoretic approach"
    - "infinite subgame perfect equilibrium in the hausdorff difference hierarchy"
    - "weak subgame perfect equilibria and their application to quantitative reachability"
    - "assume admissible synthesis"
    - "non zero sum games for reactive synthesis"
    - "secure equilibria in weighted games"
    - "infinite sequential games with real valued payoffs"
    - "doomsday equilibria for omega regular games"

Connected through hyperedge HE-3 (induced by source paper "pure nash equilibria in concurrent deterministic games"):
  with members:
    - "robust equilibria in concurrent games"
    - "the complexity of nash equilibria in limit average games"
    - "on the expressiveness and complexity of atl"

Connected through hyperedge HE-4 (induced by source paper "secure equilibria in weighted games"):
  with members:
    - "the complexity of multi mean payoff and multi energy games"
    - "on subgame perfection in quantitative reachability games"
    - "multiplayer cost games with simple nash equilibria"
    - "the complexity of nash equilibria in limit average games"
    - "better quality in synthesis through quantitative objectives"

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)