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: "strong nash equilibria in games with the lexicographical improvement property"
  Abstract: We introduce a class of finite strategic games with the property that every deviation of a coalition of players that is profitable to each of its members strictly decreases the lexicographical order of a certain function defined on the set of strategy profiles. We call this property the Lexicographical Improvement Property (LIP) and show that it implies the existence of a generalized strong ordinal potential function. We use this characterization to derive existence, efficiency and fairness properties of strong Nash equilibria. We then study a class of games that generalizes congestion games with bottleneck objectives that we call bottleneck congestion games. We show that these games possess the LIP and thus the above mentioned properties. For bottleneck congestion games in networks, we identify cases in which the potential function associated with the LIP leads to polynomial time algorithms computing a strong Nash equilibrium. Finally, we investigate the LIP for infinite games. We show that the LIP does not imply the existence of a generalized strong ordinal potential, thus, the existence of SNE does not follow. Assuming that the function associated with the LIP is continuous, however, we prove existence of SNE. As a consequence, we prove that bottleneck congestion games with infinite strategy spaces and continuous cost functions possess a strong Nash equilibrium.

Connected through hyperedge HE-1 (induced by source paper "congestion games with mixed objectives"):
  with members:
    - "routing games with progressive filling"
    - "efficient computation of approximate pure nash equilibria in congestion games"
    - "approximate pure nash equilibria in weighted congestion games existence efficient computation and structure"

Connected through hyperedge HE-2 (induced by source paper "approximate equilibrium and incentivizing social coordination"):
  with members:
    - "group activity selection problem"
    - "approximate strong equilibrium in job scheduling games"
    - "strong price of anarchy and coalitional dynamics"
    - "assignment games with conflicts price of total anarchy and convergence results via semi smoothness"
    - "on discrete preferences and coordination"
    - "combinatorial auctions with restricted complements"
    - "stable partitions in additively separable hedonic games"
    - "dynamics of profit sharing games"

Connected through hyperedge HE-3 (induced by source paper "routing games with progressive filling"):
  with members:
    - "bottleneck congestion games with logarithmic price of anarchy"

Connected through hyperedge HE-4 (induced by source paper "packing scheduling and covering problems in a game theoretic perspective"):
  with members:
    - "approximate strong equilibrium in job scheduling games"
    - "parametric packing of selfish items and the subset sum algorithm"
    - "on allocating goods to maximize fairness"
    - "on pure and approximate strong equilibria of facility location games"
    - "distributed selfish load balancing"
    - "greedy facility location algorithms analyzed using dual fitting with factor revealing lp"

Connected through hyperedge HE-5 (induced by source paper "polynomial bottleneck congestion games with optimal price of anarchy"):
  with members:
    - "bottleneck congestion games with logarithmic price of anarchy"

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)