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» Fast winning strategies in positional games
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ENDM
2007
85views more  ENDM 2007»
13 years 5 months ago
Fast winning strategies in positional games
For the unbiased Maker-Breaker game, played on the hypergraph H, let τM (H) be the smallest integer t such that Maker can win the game within t moves (if the game is a Breaker’...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...
ITA
2002
163views Communications» more  ITA 2002»
13 years 4 months ago
Permissive strategies: from parity games to safety games
It is proposed to compare strategies in a parity game by comparing the sets of behaviours they allow. For such a game, there may be no winning strategy that encompasses all the be...
Julien Bernet, David Janin, Igor Walukiewicz
JCT
2010
92views more  JCT 2010»
13 years 3 months ago
Enumeration by kernel positions for strongly Bernoulli type truncation games on words
We find the winning strategy for a class of truncation games played on words. As a consequence of the present author’s recent results on some of these games we obtain new formul...
Gábor Hetyei
CORR
2006
Springer
103views Education» more  CORR 2006»
13 years 5 months ago
Positional Determinacy of Games with Infinitely Many Priorities
We study two-player games of infinite duration that are played on finite or infinite game graphs. A winning strategy for such a game is positional if it only depends on the current...
Erich Grädel, Igor Walukiewicz
CG
2002
Springer
13 years 5 months ago
New Winning and Losing Positions for 7x7 HEx
Abstract. In this paper, we applied the decomposition method to obtain a new winning strategy for 7x7 Hex. We also found that some positions on the 7x7 Hex board, called trivial po...
Jing Yang, Simon X. Liao, Miroslaw Pawlak