human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "the complexity of fairness through equilibrium"
  Abstract: Competitive equilibrium with equal incomes (CEEI) is a well known fair allocation mechanism; however, for indivisible resources a CEEI may not exist. It was shown in [Budish '11] that in the case of indivisible resources there is always an allocation, called A-CEEI, that is approximately fair, approximately truthful, and approximately efficient, for some favorable approximation parameters. This approximation is used in practice to assign students to classes. In this paper we show that finding the A-CEEI allocation guaranteed to exist by Budish's theorem is PPAD-complete. We further show that finding an approximate equilibrium with better approximation guarantees is even harder: NP-complete.

Connected through hyperedge HE-1 (induced by source paper "algorithms for competitive division of chores"):
  with members:
    - "fair division with minimal sharing"
    - "strategyproof and approximately maxmin fair share allocation of chores"
    - "universal growth in production economies"
    - "fair allocation of combinations of indivisible goods and chores"
    - "on the proximity of markets with integral equilibria"
    - "competitive division of a mixed manna"
    - "approximation algorithms for computing maximin share allocations"
    - "almost envy freeness with general valuations"

Connected through hyperedge HE-2 (induced by source paper "a learning framework for distribution based game theoretic solution concepts"):
  with members:
    - "forming probably stable communities with limited interactions"
    - "envy free classification"
    - "statistical cost sharing"
    - "a sample complexity measure with applications to learning optimal auctions"
    - "hedonic games with graph restricted communication"
    - "learning simple auctions"
    - "sample complexity of automated mechanism design"
    - "learning cooperative games"

Connected through hyperedge HE-3 (induced by source paper "scalable fair division for at most one preferences"):
  with members:
    - "computing large market equilibria using abstractions"
    - "fair division without disparate impact"
    - "pacing equilibrium in first price auction markets"
    - "convex program duality fisher markets and nash social welfare"

Connected through hyperedge HE-4 (induced by source paper "a truthful cardinal mechanism for one sided matching"):
  with members:
    - "nash social welfare approximation for strategic agents"
    - "social welfare in one sided matching mechanisms"
    - "social welfare in one sided matchings random priority and beyond"

Connected through hyperedge HE-5 (induced by source paper "monotonic and non monotonic solution concepts for generalized circuits"):
  with members:
    - "inapproximability of nash equilibrium"
    - "settling the complexity of computing two player nash equilibria"

Connected through hyperedge HE-6 (induced by source paper "competitive equilibrium for almost all incomes existence and fairness"):
  with members:
    - "approximating nash social welfare under submodular valuations through un matchings"
    - "competitive equilibrium with generic budgets beyond additive"
    - "monotonicity and competitive equilibrium in cake cutting"
    - "negotiation strategies for agents with ordinal preferences"
    - "on the proximity of markets with integral equilibria"
    - "the complexity of cake cutting with unequal shares"
    - "fair allocation of indivisible goods to asymmetric agents"
    - "competitive division of a mixed manna"

Connected through hyperedge HE-7 (induced by source paper "competitive equilibria with indivisible goods and generic budgets"):
  with members:
    - "fair allocation of indivisible goods to asymmetric agents"
    - "truthful allocation mechanisms without payments characterization and implications on fairness"
    - "almost envy freeness with general valuations"
    - "approximating the nash social welfare with budget additive valuations"
    - "communication complexity of discrete fair division"
    - "competitive equilibrium for almost all incomes"
    - "convex program duality fisher markets and nash social welfare"
    - "nash social welfare for indivisible items under separable piecewise linear concave utilities"

Connected through hyperedge HE-8 (induced by source paper "the query complexity of cake cutting"):
  with members:
    - "approximation algorithms for computing maximin share allocations"
    - "almost envy freeness with general valuations"
    - "consensus halving is ppa complete"
    - "resource monotonicity and population monotonicity in connected cake cutting"
    - "fair division of a graph"
    - "a discrete and bounded envy free cake cutting protocol for any number of agents"
    - "to give or not to give fair division for single minded valuations"
    - "characterization and computation of equilibria for indivisible goods"

Question: Please tell me which class the center node 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)