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 "on the existence of pareto efficient and envy free allocations"):
  Abstract: Envy-freeness and Pareto Efficiency are two major goals in welfare economics. The existence of an allocation that satisfies both conditions has been studied for a long time. Whether items are indivisible or divisible, it is impossible to achieve envy-freeness and Pareto Efficiency ex post even in the case of two people and two items. In contrast, in this work, we prove that, for any cardinal utility functions (including complementary utilities for example) and for any number of items and players, there always exists an ex ante mixed allocation which is envy-free and Pareto Efficient, assuming the allowable assignments are closed under swaps, i.e. if given a legal assignment, swapping any two players' allocations produces another legal assignment. The problem remains open in the divisible case.

Includes members:
  Member "near optimal communication lower bounds for approximate nash equilibria":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "complexity theory game theory and economics the barbados lectures")
  Member "communication complexity of cake cutting":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "contiguous cake cutting hardness results and approximation algorithms")
  Member "almost envy freeness with general valuations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "equitable allocations of indivisible chores")
  Member "approximating the nash social welfare with budget additive valuations":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "efx exists for three agents")
  Member "communication complexity of discrete fair division":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the price of connectivity in fair division")
  Member "convex program duality fisher markets and nash social welfare":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "maximum nash welfare and other stories about efx")
  Member "computing equilibria in markets with budget additive utilities":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "approximating the nash social welfare with budget additive valuations")
  Member "nash social welfare for indivisible items under separable piecewise linear concave utilities":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "efx exists for three agents")

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)