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 "an empirical study on computing equilibria in polymatrix games"):
  Abstract: The Nash equilibrium is an important benchmark for behaviour in systems of strategic autonomous agents. Polymatrix games are a succinct and expressive representation of multiplayer games that model pairwise interactions between players. The empirical performance of algorithms to solve these games has received little attention, despite their wide-ranging applications. In this paper we carry out a comprehensive empirical study of two prominent algorithms for computing a sample equilibrium in these games, Lemke's algorithm that computes an exact equilibrium, and a gradient descent method that computes an approximate equilibrium. Our study covers games arising from a number of interesting applications. We find that Lemke's algorithm can compute exact equilibria in relatively large games in a reasonable amount of time. If we are willing to accept (high-quality) approximate equilibria, then we can deal with much larger games using the descent method. We also report on which games are most challenging for each of the algorithms.

Includes members:
  Member "approximating nash equilibria in tree polymatrix games":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "tree polymatrix games are ppad hard")
  Member "from duels to battefields computing equilibria of blotto and other games":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal strategies of blotto games beyond convexity")
  Member "an empirical study of finding approximate equilibria in bimatrix games":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "distributed methods for computing approximate equilibria")
  Member "coordination games on graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "constrained pure nash equilibria in polymatrix games")
  Member "on the complexity of computing an equilibrium in combinatorial auctions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on simultaneous two player combinatorial auctions")
  Member "inapproximability of nash equilibrium":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the complexity of interactively learning a stable matching by trial and error")
  Member "computing approximate nash equilibria in polymatrix games":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "tree polymatrix games are ppad hard")
  Member "computing nash equilibria of action graph games":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "computational analysis of perfect information position auctions")

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)