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 in concurrent deterministic games"
  Abstract: We study pure-strategy Nash equilibria in multi-player concurrent deterministic games, for a variety of preference relations. We provide a novel construction, called the suspect game, which transforms a multi-player concurrent game into a two-player turn-based game which turns Nash equilibria into winning strategies (for some objective that depends on the preference relations of the players in the original game). We use that transformation to design algorithms for computing Nash equilibria in finite games, which in most cases have optimal worst-case complexity, for large classes of preference relations. This includes the purely qualitative framework, where each player has a single omega-regular objective that she wants to satisfy, but also the larger class of semi-quantitative objectives, where each player has several omega-regular objectives equipped with a preorder (for instance, a player may want to satisfy all her objectives, or to maximise the number of objectives that she achieves.)

Connected through hyperedge HE-1 (induced by source paper "nash equilibrium and bisimulation invariance"):
  with members:
    - "reasoning about strategies on the satisfiability problem"
    - "mcmas slk a model checker for the verification of strategy logic specifications"
    - "reasoning about strategies on the model checking problem"

Connected through hyperedge HE-2 (induced by source paper "equilibria in quantitative concurrent games"):
  with members:
    - "settling the complexity of computing two player nash equilibria"

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"
    - "secure equilibria in weighted games"

Connected through hyperedge HE-4 (induced by source paper "infinite duration bidding games"):
  with members:
    - "determinacy in discrete bidding infinite duration games"
    - "infinite duration poorman bidding games"
    - "how much lookahead is needed to win infinite games"
    - "discrete all pay bidding games"
    - "non zero sum games for reactive synthesis"
    - "variations on the stochastic shortest path problem"
    - "the odds of staying on budget"
    - "secure equilibria in weighted games"

Connected through hyperedge HE-5 (induced by source paper "strategy logic with imperfect information"):
  with members:
    - "decidability results for atl with imperfect information and perfect recall"
    - "games on graphs with a public signal monitoring"
    - "the fixed initial credit problem for partial observation energy games is ack complete"
    - "hierarchical information and the synthesis of distributed strategies"
    - "hierarchical information patterns and distributed strategy synthesis"
    - "atlsc with partial observation"
    - "games with a weak adversary"
    - "mcmas slk a model checker for the verification of strategy logic specifications"

Connected through hyperedge HE-6 (induced by source paper "efficient energy distribution in a smart grid using multi player 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.LO(Logic in Computer Science)