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» On Optimal Strategies for a Hat Game on Graphs
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SIAMDM
2010
131views more  SIAMDM 2010»
12 years 11 months ago
On Optimal Strategies for a Hat Game on Graphs
The following problem was introduced by Marcin Krzywkowski as a generalization of a problem of Todd Ebert. After initially coordinating a strategy, n players each occupy a differe...
Uriel Feige
SIAMDM
2008
99views more  SIAMDM 2008»
13 years 4 months ago
Hat Guessing Games
Hat problems have become a popular topic in recreational mathematics. In a typical hat problem, each of n players tries to guess the color of the hat they are wearing by looking a...
Steve Butler, Mohammad Taghi Hajiaghayi, Robert D....
CONCUR
2006
Springer
13 years 8 months ago
Strategy Improvement for Stochastic Rabin and Streett Games
A stochastic graph game is played by two players on a game graph with probabilistic transitions. We consider stochastic graph games with -regular winning conditions specified as Ra...
Krishnendu Chatterjee, Thomas A. Henzinger
QEST
2006
IEEE
13 years 10 months ago
Strategy Improvement for Concurrent Reachability Games
A concurrent reachability game is a two-player game played on a graph: at each state, the players simultaneously and independently select moves; the two moves determine jointly a ...
Krishnendu Chatterjee, Luca de Alfaro, Thomas A. H...
CONCUR
2007
Springer
13 years 11 months ago
Strategy Logic
We introduce strategy logic, a logic that treats strategies in two-player games as explicit first-order objects. The explicit treatment of strategies allows us to specify properti...
Krishnendu Chatterjee, Thomas A. Henzinger, Nir Pi...