Extension of the main theorem without condition (nu)

From papers

The Bachet's game with lottery moves model is governed by the assumptions preceding the main theorem, including condition

, which ensures that each move size from $1$ through $m$ can occur with positive probability. **Conjecture.** The main theorem remains true even when condition

is violated. The condition is used technically in the proof, but the authors believe it is not essential to the theorem's conclusion.

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Sources & referencesView supporting material

Primary source

Dmitry Dagaev and Ilya Schurov, “Bachet's game with lottery moves”, arXiv:1903.08646 (2019).

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