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 "complexity results about nash equilibria"):
  Abstract: Noncooperative game theory provides a normative framework for analyzing strategic interactions. However, for the toolbox to be operational, the solutions it defines will have to be computed. In this paper, we provide a single reduction that 1) demonstrates NP-hardness of determining whether Nash equilibria with certain natural properties exist, and 2) demonstrates the #P-hardness of counting Nash equilibria (or connected sets of Nash equilibria). We also show that 3) determining whether a pure-strategy Bayes-Nash equilibrium exists is NP-hard, and that 4) determining whether a pure-strategy Nash equilibrium exists in a stochastic (Markov) game is PSPACE-hard even if the game is invisible (this remains NP-hard if the game is finite). All of our hardness results hold even if there are only two players and the game is symmetric. #R##N#Keywords: Nash equilibrium; game theory; computational complexity; noncooperative game theory; normal form game; stochastic game; Markov game; Bayes-Nash equilibrium; multiagent systems.

Includes members:
  Member "complexity of mechanism design":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "mechanism design for public projects via neural networks")
  Member "graphical models for game theory":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "complexity theory game theory and economics the barbados lectures")
  Member "computationally feasible vcg mechanisms":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "machine learning powered iterative combinatorial auctions")
  Member "pure nash equilibria hard and easy games":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "graphical one sided markets")
  Member "vote elicitation complexity and strategy proofness":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "communication distortion and randomness in metric voting")
  Member "effectiveness of preference elicitation in combinatorial auctions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "vote elicitation complexity and strategy proofness")
  Member "complexity of manipulating elections with few candidates":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "often harder than in the constructive case destructive bribery in cp nets")
  Member "on the np completeness of finding an optimal strategy in games with common payoffs":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a continuation method for nash equilibria in structured games")

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)