Misère canonical forms of partizan games

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dc.creatorSiegel, Aaron N.
dc.date2007-03-20
dc.date.accessioned2026-07-07T07:52:52Z
dc.date.available2026-07-07T07:52:52Z
dc.descriptionWe show that partizan games admit canonical forms in misère play. The proof is a synthesis of the canonical form theorems for normal-play partizan games and misère-play impartial games. It is fully constructive, and algorithms readily emerge for comparing misère games and calculating their canonical forms. We use these techniques to show that there are precisely 256 games born by day 2, and to obtain a bound on the number of games born by day 3.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0703565
dc.identifierhttp://arxiv.org/abs/math/0703565
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126035
dc.subjectCombinatorics
dc.subject91A46
dc.titleMisère canonical forms of partizan games
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