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 "competitive equilibrium for almost all incomes"):
  Abstract: Competitive equilibrium from equal incomes (CEEI) is a well-known rule for fair allocation of resources among agents with different preferences. It has many advantages, among them is the fact that a CEEI allocation is both Pareto efficient and envy-free. However, when the resources are indivisible, a CEEI allocation might not exist even when there are two agents and a single item. #R##N#In contrast to this discouraging non-existence result, Babaioff, Nisan and Talgam-Cohen (2017) recently suggested a new and more encouraging approach to allocation of indivisible items: instead of insisting that the incomes be equal, they suggest to look at the entire space of possible incomes, and check whether there exists a competitive equilibrium for almost all income-vectors (CEFAI) --- all income-space except a subset of measure zero. They show that a CEFAI exists when there are at most 3 items, or when there are 4 items and two agents. They also show that when there are 5 items and two agents there might not exist a CEFAI. They leave open the cases of 4 items with three or four agents. #R##N#This paper presents a new way to implement a CEFAI, as a subgame-perfect equilibrium of a sequential game. This new implementation allows us both to offer much simpler solutions to the known cases (at most 3 items, and 4 items with two agents), and to prove that a CEFAI exists even in the much more difficult case of 4 items and three agents. Moreover, we prove that a CEFAI might not exist with 4 items and four agents. When the items to be divided are bads (chores), CEFAI exists for two agents with at most 4 chores, but does not exist for two agents with 5 chores or with three agents with 3 or more chores. Thus, this paper completes the characterization of CEFAI existence for monotone preferences.

Includes members:
  Member "competitive division of a mixed manna":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "equitable allocations of indivisible chores")
  Member "to give or not to give fair division for single minded valuations":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "algorithms for competitive division of chores")
  Member "characterization and computation of equilibria for indivisible goods":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "algorithms for competitive division of chores")
  Member "competitive equilibrium with equal incomes for allocation of indivisible objects":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "competitive equilibrium for almost all incomes existence and fairness")
  Member "the complexity of fairness through equilibrium":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "algorithms for competitive division of chores")
  Member "a social welfare optimal sequential allocation procedure":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "online fair division a survey")

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)