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 "proportional dynamics in exchange economies"):
  Abstract: We study the Proportional Response dynamic in exchange economies, where each player starts with some amount of money and a good. Every day, the players bring one unit of their good and submit bids on goods they like, each good gets allocated in proportion to the bid amounts, and each seller collects the bids received. Then every player updates the bids proportionally to the contribution of each good in their utility. This dynamic models a process of learning how to bid and has been studied in a series of papers on Fisher and production markets, but not in exchange economies. Our main results are as follows: - For linear utilities, the dynamic converges to market equilibrium utilities and allocations, while the bids and prices may cycle. We give a combinatorial characterization of limit cycles for prices and bids. - We introduce a lazy version of the dynamic, where players may save money for later, and show this converges in everything: utilities, allocations, and prices. - For CES utilities in the substitute range $[0,1)$, the dynamic converges for all parameters. This answers an open question about exchange economies with linear utilities, where tatonnement does not converge to market equilibria, and no natural process leading to equilibria was known. We also note that proportional response is a process where the players exchange goods throughout time (in out-of-equilibrium states), while tatonnement only explains how exchange happens in the limit.

Includes members:
  Member "an alternating algorithm for finding linear arrow debreu market equilibrium":
    also connected through other hyperedges:
      (none)
  Member "universal growth in production economies":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "algorithms for competitive division of chores")
  Member "a strongly polynomial algorithm for linear exchange markets":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "satiation in fisher markets and approximation of nash social welfare")
  Member "tracing equilibrium in dynamic markets via distributed adaptation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "balancing the robustness and convergence of tatonnement")
  Member "dynamics of distributed updating in fisher markets":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "balancing the robustness and convergence of tatonnement")
  Member "selling complementary goods dynamics efficiency and revenue":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "universal growth in production economies")
  Member "best response dynamics in combinatorial auctions with item bidding":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "pure nash equilibria and best response dynamics in random games")
  Member "the price of anarchy in auctions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "complexity theory game theory and economics the barbados lectures")

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)