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 "the complexity of subgame perfect equilibria in quantitative reachability games"):
  Abstract: We study multiplayer quantitative reachability games played on a finite directed graph, where the objective of each player is to reach his target set of vertices as quickly as possible. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame perfect equilibrium (SPE), a refinement of NE well-suited in the framework of games played on graphs. It is known that there always exists an SPE in quantitative reachability games and that the constrained existence problem is decidable. We here prove that this problem is PSPACE-complete. To obtain this result, we propose a new algorithm that iteratively builds a set of constraints characterizing the set of SPE outcomes in quantitative reachability games. This set of constraints is obtained by iterating an operator that reinforces the constraints up to obtaining a fixpoint. With this fixpoint, the set of SPE outcomes can be represented by a finite graph of size at most exponential. A careful inspection of the computation allows us to establish PSPACE membership.

Includes members:
  Member "constrained existence problem for weak subgame perfect equilibria with ω regular boolean objectives":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the complexity of subgame perfect equilibria in quantitative reachability games full version")
  Member "computer aided synthesis a game theoretic approach":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "energy mean payoff games")
  Member "on the existence of weak subgame perfect equilibria":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the complexity of subgame perfect equilibria in quantitative reachability games full version")
  Member "admissibility in quantitative graph games":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "reasoning about quality and fuzziness of strategic behaviours")
  Member "assume admissible synthesis":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "reasoning about quality and fuzziness of strategic behaviours")
  Member "non zero sum games for reactive synthesis":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "games where you can play optimally with finite memory")
  Member "the complexity of admissibility in omega regular games":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the complexity of subgame perfect equilibria in quantitative reachability games full version")
  Member "on subgame perfection in quantitative reachability games":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "determinacy in discrete bidding infinite duration games")

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)