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 "maximum nash welfare and other stories about efx"):
  Abstract: We consider the classic problem of fairly allocating indivisible goods among agents with additive valuation functions and explore the connection between two prominent fairness notions: maximum Nash welfare (MNW) and envy-freeness up to any good (EFX). We establish that an MNW allocation is always EFX as long as there are at most two possible values for the goods, whereas this implication is no longer true for three or more distinct values. As a notable consequence, this proves the existence of EFX allocations for these restricted valuation functions. While the efficient computation of an MNW allocation for two possible values remains an open problem, we present a novel algorithm for directly constructing EFX allocations in this setting. Finally, we study the question of whether an MNW allocation implies any EFX guarantee for general additive valuation functions under a natural new interpretation of approximate EFX allocations.

Includes members:
  Member "envy freeness up to any item with high nash welfare the virtue of donating items":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "fair and truthful mechanisms for dichotomous valuations")
  Member "almost envy freeness in group resource allocation":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "almost group envy free allocation of indivisible goods and chores")
  Member "approximating nash social welfare under submodular valuations through un matchings":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "efx exists for three agents")
  Member "maximin aware allocations of indivisible goods":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "multiple birds with one stone beating 1 2 for efx and gmms via envy cycle elimination")
  Member "greedy algorithms for fair division of mixed manna":
    also connected through other hyperedges:
      (none)
  Member "an improved approximation algorithm for maximin shares":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "maximin fairness with mixed divisible and indivisible goods")
  Member "greedy algorithms for maximizing nash social welfare":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "greedy algorithms for fair division of mixed manna")
  Member "groupwise maximin fair allocation of indivisible goods":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "maximin fairness with mixed divisible and indivisible goods")

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)