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 alternating algorithm for finding linear arrow debreu market equilibrium"):
  Abstract: Motivated by the convergence of mirror-descent algorithms to market equilibria in linear Fisher markets, it is natural to consider designing dynamics (specifically, iterative algorithms) for agents to arrive at linear Arrow-Debreu market equilibria. Jain reduced equilibrium computation in linear Arrow-Debreu markets to that in bijective markets, where everyone is a seller of only one good and also a buyer for a bundle of goods. #R##N#In this paper, we simply design algorithms to solve a rational convex program for bijective markets. Our algorithm for computing linear Arrow-Debreu market equilibrium is based on solving the rational convex program formulated by Devanur et al., repeatedly alternating between a step of gradient-descent-like updates and a follow-up step of optimization. Convergence can be achieved by a new analysis different from that for linear Fisher markets.

Includes members:
  Member "generalized mirror descents in congestion games":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "leadership in singleton congestion games what is hard and what is easy")
  Member "a rational convex program for linear arrow debreu markets":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "proportional dynamics in exchange economies")
  Member "settling the complexity of arrow debreu equilibria in markets with additively separable utilities":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the complexity of interactively learning a stable matching by trial and error")

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)