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» Fast winning strategies in positional games
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ENDM
2007
85views more  ENDM 2007»
13 years 10 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 10 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 9 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 11 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 10 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