human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "coordination games on weighted directed graphs"):
  Abstract: We study strategic games on weighted directed graphs, in which the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy, augmented by a fixed non-negative integer bonus for picking a given strategy. These games capture the idea of coordination in the absence of globally common strategies. #R##N#We identify natural classes of graphs for which finite improvement or coalition-improvement paths of polynomial length always exist, and, as a consequence, a (pure) Nash equilibrium or a strong equilibrium can be found in polynomial time. #R##N#The considered classes of graphs are typical in network topologies: simple cycles correspond to the token ring local area networks, while open chains of simple cycles correspond to multiple independent rings topology from the recommendation G.8032v2 on the Ethernet ring protection switching. For simple cycles these results are optimal in the sense that without the imposed conditions on the weights and bonuses a Nash equilibrium may not even exist. #R##N#Finally, we prove that the problem of determining the existence of a Nash equilibrium or of a strong equilibrium in these games is NP-complete already for unweighted graphs and with no bonuses assumed. This implies that the same problems for polymatrix games are strongly NP-hard.

Includes members:
  Member "self stabilization through the lens of game theory":
    also connected through other hyperedges:
      (none)
  Member "efficient local search in coordination games on graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "smoothed efficient algorithms and reductions for network coordination games")
  Member "coordination games on directed graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "self stabilization through the lens of game theory")
  Member "efficient equilibria in polymatrix coordination games":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "graphical one sided markets")
  Member "existence of stability in hedonic coalition formation games":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "anonymous hedonic game for task allocation in a large scale multiple agent system")
  Member "a classification of weakly acyclic games":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "self stabilization through the lens of game theory")
  Member "on dynamics in selfish network creation":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the efficiency of best response dynamics")
  Member "social network games":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "coordination games on directed graphs")

Question: Please tell me which class the source paper 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)