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: "distributed resource allocation through utility design part ii applications to submodular supermodular and set covering problems"
  Abstract: A fundamental component of the game theoretic approach to distributed control is the design of local utility functions. In Part I of this work we showed how to systematically design local utilities so as to maximize the induced worst case performance. The purpose of the present manuscript is to specialize the general results obtained in Part I to a class of monotone submodular, supermodular and set covering problems. In the case of set covering problems, we show how any distributed algorithm capable of computing a Nash equilibrium inherits a performance certificate matching the well known 1-1/e approximation of Nemhauser. Relative to the class of submodular maximization problems considered here, we show how the performance offered by the game theoretic approach improves on existing approximation algorithms. We briefly discuss the algorithmic complexity of computing (pure) Nash equilibria and show how our approach generalizes and subsumes previously fragmented results in the area of optimal utility design. Two applications and corresponding numerics are presented: the vehicle target assignment problem and a coverage problem arising in distributed caching for wireless networks.

Connected through hyperedge HE-1 (induced by source paper "optimal mechanisms for distributed resource allocation"):
  with members:
    - "tight approximation bounds for maximum multi coverage"
    - "optimal price of anarchy in cost sharing games"
    - "distributed resource allocation through utility design part i optimizing the performance certificates via the price of anarchy"
    - "intense competition can drive selfish explorers to optimize coverage"
    - "multiagent maximum coverage problems the trade off between anarchy and stability"
    - "learning in games robustness of fast convergence"
    - "a market inspired approach for intersection management in urban road traffic networks"
    - "a unifying tool for bounding the quality of non cooperative solutions in weighted congestion games"

Connected through hyperedge HE-2 (induced by source paper "multiagent maximum coverage problems the trade off between anarchy and stability"):
  with members:
    - "distributed resource allocation through utility design part i optimizing the performance certificates via the price of anarchy"
    - "the pareto frontier of inefficiency in mechanism design"
    - "utility design for distributed resource allocation part ii applications to submodular covering and supermodular problems"
    - "potential games are necessary to ensure pure nash equilibria in cost sharing games"

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)