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» On Optimal Strategies for a Hat Game on Graphs
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SIAMDM
2010
131views more  SIAMDM 2010»
15 years 1 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»
15 years 6 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
15 years 10 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
16 years 14 days 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
16 years 19 days 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...