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Shapley: stochastic games

Contribution grade

Multi-agent systems · THEORY

Reference score205,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Defined a class of two-player zero-sum stochastic games with state transitions and proved the existence and characterization of values for the discounted finite-state setting treated in the paper.

Scientific scope

The record is the exact 1953 PNAS paper. Repeated games, general-sum stochastic games, Markov decision processes, reinforcement-learning algorithms and later equilibrium refinements remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1953 PNAS paper. Repeated games, general-sum stochastic games, Markov decision processes, reinforcement-learning algorithms and later equilibrium refinements remain separate.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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