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: "on the structure of weakly acyclic games"
  Abstract: The class of weakly acyclic games, which includes potential games and dominance-solvable games, captures many practical application domains. In a weakly acyclic game, from any starting state, there is a sequence of better-response moves that leads to a pure Nash equilibrium; informally, these are games in which natural distributed dynamics, such as better-response dynamics, cannot enter inescapable oscillations. We establish a novel link between such games and the existence of pure Nash equilibria in subgames. Specifically, we show that the existence of a unique pure Nash equilibrium in every subgame implies the weak acyclicity of a game. In contrast, the possible existence of multiple pure Nash equilibria in every subgame is insufficient for weak acyclicity in general; here, we also systematically identify the special cases (in terms of the number of players and strategies) for which this is sufficient to guarantee weak acyclicity.

Connected through hyperedge HE-1 (induced by source paper "coordination games on weighted directed graphs"):
  with members:
    - "self stabilization through the lens of game theory"
    - "efficient local search in coordination games on graphs"
    - "coordination games on directed graphs"
    - "efficient equilibria in polymatrix coordination games"
    - "existence of stability in hedonic coalition formation games"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"
    - "social network games"

Connected through hyperedge HE-2 (induced by source paper "pure nash equilibria and best response dynamics in random games"):
  with members:
    - "best response dynamics in combinatorial auctions with item bidding"
    - "flows and decompositions of games harmonic and potential games"

Connected through hyperedge HE-3 (induced by source paper "approximate best response dynamics in random interference games"):
  with members:
    - "asymptotically optimal distributed channel allocation a competitive game theoretic approach"
    - "distributed learning algorithms for spectrum sharing in spatial random access wireless networks"
    - "dynamics in near potential games"
    - "game theory and the frequency selective interference channel"
    - "on the complexity of nash dynamics and sink equilibria"
    - "cooperative game theory and the gaussian interference channel"

Connected through hyperedge HE-4 (induced by source paper "learning based dynamic pinning of parallelized applications in many core systems"):
  with members:
    - "measurement based efficient resource allocation with demand side adjustments"
    - "an evolutionary stochastic local search framework for one dimensional cutting stock problems"
    - "stochastic stability of perturbed learning automata in positive utility games"
    - "efficient dynamic pinning of parallelized applications by distributed reinforcement learning"
    - "aspiration learning in coordination games"

Connected through hyperedge HE-5 (induced by source paper "fictitious play with inertia learns pure equilibria in distributed games with incomplete information"):
  with members:
    - "diffusion adaptation over networks"
    - "learning equilibria with partial information in decentralized wireless networks"
    - "higher dimensional consensus learning in large scale networks"
    - "gossip algorithms for distributed signal processing"
    - "methodologies for analyzing equilibria in wireless games"

Connected through hyperedge HE-6 (induced by source paper "efficient local search in coordination games on graphs"):
  with members:
    - "coordination games on directed graphs"
    - "efficient equilibria in polymatrix coordination games"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"

Connected through hyperedge HE-7 (induced by source paper "acyclic games and iterative voting"):
  with members:
    - "plurality voting under uncertainty"
    - "a local dominance theory of voting equilibria"
    - "dominating manipulations in voting with partial information"

Connected through hyperedge HE-8 (induced by source paper "a classification of weakly acyclic games"):
  with members:
    - "choosing products in social networks"
    - "on dynamics in selfish network creation"
    - "order independence and rationalizability"

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)