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: "the many faces of rationalizability"
  Abstract: The rationalizability concept was introduced in \cite{Ber84} and #R##N#\cite{Pea84} to assess what can be inferred by rational players in a non-cooperative game in the presence of common knowledge. However, this notion can be defined in a number of ways that differ in seemingly unimportant minor details. We shed light on these differences, explain their impact, and clarify for which games these definitions coincide. Then we apply the same analysis to explain the differences and similarities between various ways the iterated elimination of strictly dominated strategies was defined in the literature. This allows us to clarify the results of \cite{DS02} and \cite{CLL05} and improve upon them. We also consider the extension of these results to strict dominance by a mixed strategy. Our approach is based on a general study of the operators on complete lattices. We allow transfinite iterations of the considered operators and clarify the need for them. The advantage of such a general approach is that a number of results, including order independence for some of the notions of rationalizability and strict dominance, come for free.

Connected through hyperedge HE-1 (induced by source paper "distance based equilibria in normal form games"):
  with members:
    - "heuristic voting as ordinal dominance strategies"
    - "lipschitz continuity and approximate equilibria"
    - "a local dominance theory of voting equilibria"
    - "congestion games with distance based strict uncertainty"
    - "regret minimizing equilibria and mechanisms for games with strict type uncertainty"
    - "dominating manipulations in voting with partial information"

Connected through hyperedge HE-2 (induced by source paper "the role of monotonicity in the epistemic analysis of strategic games"):
  with members:
    - "a logical characterization of iterated admissibility"
    - "epistemic analysis of strategic games with arbitrary strategy sets"
    - "relative strength of strategy elimination procedures"

Connected through hyperedge HE-3 (induced by source paper "proof theoretic analysis of rationality for strategic games with arbitrary strategy sets"):
  with members:
    - "relative strength of strategy elimination procedures"

Connected through hyperedge HE-4 (induced by source paper "distributed iterated elimination of strictly dominated strategies"):
  with members:
    - "graphical models for game theory"
    - "the role of monotonicity in the epistemic analysis of strategic games"
    - "public announcements in strategic games with arbitrary strategy sets"
    - "common knowledge in interaction structures"
    - "relative strength of strategy elimination procedures"
    - "comparing the notions of optimality in cp nets strategic games and soft constraints"

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)