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Deterministic quasipolynomial-time mean-payoff games

OpenAI

OpenAI Mathopenai-math/Deterministic-quasipolynomial-time-mean-payoff-gamesSep 25, 2026cs.CCAI-generatedscore 0

We give a deterministic algorithm that computes the complete zero-threshold winning set of a finite mean-payoff game with arbitrary signed integer edge weights encoded in binary. For total explicit input length L , it uses $2^{O((\log(L+2))^2)}$ bit operations. A reduction also computes the exact rational value at every vertex and globally optimal positional strategies for both players within the same quasipolynomial bound.

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