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 "strategy complexity of concurrent stochastic games with safety and reachability objectives"):
  Abstract: We consider finite-state concurrent stochastic games, played by k>=2 players for an infinite number of rounds, where in every round, each player simultaneously and independently of the other players chooses an action, whereafter the successor state is determined by a probability distribution given by the current state and the chosen actions. We consider reachability objectives that given a target set of states require that some state in the target is visited, and the dual safety objectives that given a target set require that only states in the target set are visited. We are interested in the complexity of stationary strategies measured by their patience, which is defined as the inverse of the smallest nonzero probability employed. Our main results are as follows: We show that in two-player zero-sum concurrent stochastic games (with reachability objective for one player and the complementary safety objective for the other player): (i) the optimal bound on the patience of optimal and epsilon-optimal strategies, for both players is doubly exponential; and (ii) even in games with a single nonabsorbing state exponential (in the number of actions) patience is necessary. In general we study the class of non-zero-sum games admitting stationary epsilon-Nash equilibria. We show that if there is at least one player with reachability objective, then doubly-exponential patience may be needed for epsilon-Nash equilibrium strategies, whereas in contrast if all players have safety objectives, the optimal bound on patience for epsilon-Nash equilibrium strategies is only exponential.

Includes members:
  Member "the complexity of ergodic mean payoff games":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "ergodic mean payoff games for the analysis of attacks in crypto currencies")
  Member "exact algorithms for solving stochastic games":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "acceptable strategy profiles in stochastic games")
  Member "solving simple stochastic games with few coin toss positions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "solving simple stochastic games with few random nodes faster using bland s rule")
  Member "randomness for free":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "parameter independent strategies for pmdps via pomdps")
  Member "the complexity of solving reachability games using value and strategy iteration":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "reachability for branching concurrent stochastic 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)