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- Strategy-stealing_argument abstract "In combinatorial game theory, the strategy-stealing argument is a general argument that shows, for many two-player games, that the second player cannot have a guaranteed winning strategy. The strategy-stealing argument applies to any symmetric game (one in which either player has the same set of available moves with the same results, so that the first player can \"use\" the second player's strategy) in which an extra move can never be a disadvantage.The argument works by obtaining a contradiction. A winning strategy is assumed to exist for the second player, who is using it. But then, roughly speaking, after making their first move - which by the conditions above is not a disadvantage - the first player may then also play according to this winning strategy. The result is that both players are guaranteed to win - which is absurd, thus contradicting the assumption that such a strategy exists.Examples of games to which the argument applies are hex and the m,n,k-games such as gomoku. In hex ties are not possible, so the argument shows that it is a first-player win.".
- Strategy-stealing_argument wikiPageID "709783".
- Strategy-stealing_argument wikiPageLength "5036".
- Strategy-stealing_argument wikiPageOutDegree "21".
- Strategy-stealing_argument wikiPageRevisionID "707488261".
- Strategy-stealing_argument wikiPageWikiLink Argument.
- Strategy-stealing_argument wikiPageWikiLink Bar_induction.
- Strategy-stealing_argument wikiPageWikiLink Brouwer–Heyting–Kolmogorov_interpretation.
- Strategy-stealing_argument wikiPageWikiLink Category:Arguments.
- Strategy-stealing_argument wikiPageWikiLink Category:Mathematical_games.
- Strategy-stealing_argument wikiPageWikiLink Chess.
- Strategy-stealing_argument wikiPageWikiLink Combinatorial_game_theory.
- Strategy-stealing_argument wikiPageWikiLink Determinacy.
- Strategy-stealing_argument wikiPageWikiLink Go_(game).
- Strategy-stealing_argument wikiPageWikiLink Gomoku.
- Strategy-stealing_argument wikiPageWikiLink Hex_(board_game).
- Strategy-stealing_argument wikiPageWikiLink Komidashi.
- Strategy-stealing_argument wikiPageWikiLink Law_of_excluded_middle.
- Strategy-stealing_argument wikiPageWikiLink M,n,k-game.
- Strategy-stealing_argument wikiPageWikiLink Markovs_principle.
- Strategy-stealing_argument wikiPageWikiLink Reductio_ad_absurdum.
- Strategy-stealing_argument wikiPageWikiLink Symmetric_game.
- Strategy-stealing_argument wikiPageWikiLink Tic-tac-toe.
- Strategy-stealing_argument wikiPageWikiLink Two-player_game.
- Strategy-stealing_argument wikiPageWikiLink Zugzwang.
- Strategy-stealing_argument wikiPageWikiLinkText "Strategy-stealing argument".
- Strategy-stealing_argument wikiPageWikiLinkText "strategy-stealing argument".
- Strategy-stealing_argument wikiPageUsesTemplate Template:Main.
- Strategy-stealing_argument wikiPageUsesTemplate Template:Refimprove.
- Strategy-stealing_argument wikiPageUsesTemplate Template:Reflist.
- Strategy-stealing_argument subject Category:Arguments.
- Strategy-stealing_argument subject Category:Mathematical_games.
- Strategy-stealing_argument hypernym Argument.
- Strategy-stealing_argument type Argument.
- Strategy-stealing_argument type Statement.
- Strategy-stealing_argument type Statement.
- Strategy-stealing_argument comment "In combinatorial game theory, the strategy-stealing argument is a general argument that shows, for many two-player games, that the second player cannot have a guaranteed winning strategy.".
- Strategy-stealing_argument label "Strategy-stealing argument".
- Strategy-stealing_argument sameAs Q1158962.
- Strategy-stealing_argument sameAs Argument_de_robatori_destratxc3xa8gia.
- Strategy-stealing_argument sameAs Argument_o_kradení_strategie.
- Strategy-stealing_argument sameAs Dimostrazione_per_furto_di_strategia.
- Strategy-stealing_argument sameAs 전략_훔치기_논증.
- Strategy-stealing_argument sameAs m.034rpr.
- Strategy-stealing_argument sameAs Заимствование_стратегии.
- Strategy-stealing_argument sameAs Q1158962.
- Strategy-stealing_argument wasDerivedFrom Strategy-stealing_argument?oldid=707488261.
- Strategy-stealing_argument isPrimaryTopicOf Strategy-stealing_argument.