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: "extending finite memory determinacy to multiplayer games"
  Abstract: We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding class of multi-player multi-outcome games. This generalizes a previous result by Brihaye, De Pril and Schewe. For most of our conditions we provide counterexamples showing that they cannot be dispensed with. Our proofs are generally constructive, that is, provide upper bounds for the memory required, as well as algorithms to compute the relevant winning strategies.

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"
    - "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"
    - "secure equilibria in weighted games"

Connected through hyperedge HE-2 (induced by source paper "finite state strategies in delay games"):
  with members:
    - "games with costs and delays"
    - "finite state strategies in delay games full version"
    - "how much lookahead is needed to win infinite games"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "what are strategies in delay games borel determinacy for games with lookahead"
    - "delay games with wmso u winning conditions"
    - "degrees of lookahead in regular infinite games"

Connected through hyperedge HE-3 (induced by source paper "finite state strategies in delay games full version"):
  with members:
    - "games with costs and delays"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "finite state strategies in delay games"
    - "easy to win hard to master optimal strategies in parity games with costs"
    - "what are strategies in delay games borel determinacy for games with lookahead"
    - "delay games with wmso u winning conditions"
    - "weak mso with the unbounding quantifier"

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)