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: "equilibria under the probabilistic serial rule"
  Abstract: The probabilistic serial (PS) rule is a prominent randomized rule for assigning indivisible goods to agents. Although it is well known for its good fairness and welfare properties, it is not strategyproof. In view of this, we address several fundamental questions regarding equilibria under PS. Firstly, we show that Nash deviations under the PS rule can cycle. Despite the possibilities of cycles, we prove that a pure Nash equilibrium is guaranteed to exist under the PS rule. We then show that verifying whether a given profile is a pure Nash equilibrium is coNP-complete, and computing a pure Nash equilibrium is NP-hard. For two agents, we present a linear-time algorithm to compute a pure Nash equilibrium which yields the same assignment as the truthful profile. Finally, we conduct experiments to evaluate the quality of the equilibria that exist under the PS rule, finding that the vast majority of pure Nash equilibria yield social welfare that is at least that of the truthful profile.

Connected through hyperedge HE-1 (induced by source paper "investigating the characteristics of one sided matching mechanisms under various preferences and risk attitudes"):
  with members:
    - "egalitarianism of random assignment mechanisms"
    - "manipulating the probabilistic serial rule"
    - "allocation of divisible goods under lexicographic preferences"
    - "strategyproof quota mechanisms for multiple assignment problems"
    - "social welfare in one sided matching mechanisms"
    - "hybrid mechanisms trading off efficiency and strategyproofness in one sided matching"
    - "social welfare in one sided matchings random priority and beyond"
    - "fair assignment of indivisible objects under ordinal preferences"

Connected through hyperedge HE-2 (induced by source paper "equilibria in sequential allocation"):
  with members:
    - "complexity of manipulating sequential allocation"
    - "possible and necessary allocations via sequential mechanisms"
    - "fair assignment of indivisible objects under ordinal preferences"
    - "bidding games and efficient allocations"
    - "a social welfare optimal sequential allocation procedure"
    - "how to make the most of a shared meal plan the last bite first"

Connected through hyperedge HE-3 (induced by source paper "social welfare in one sided matching mechanisms"):
  with members:
    - "size versus truthfulness in the house allocation problem"
    - "manipulating the probabilistic serial rule"
    - "efficiency of truthful and symmetric mechanisms in one sided matching"
    - "strategic aspects of the probabilistic serial rule for the allocation of goods"
    - "social welfare in one sided matchings random priority and beyond"
    - "welfare maximization and truthfulness in mechanism design with ordinal preferences"
    - "truthful approximations to range voting"
    - "the computational complexity of random serial dictatorship"

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)