Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Wednesday, July 31, 2013, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Gal Kronenberg (Tel Aviv University)

Random-turn Maker-Breaker games

We consider random-turn Maker-Breaker games, firstly introduced by Peres, Schramm, Sheeld and Wilson in 2007. A p-random-turn Maker-Breaker game is the same as an ordinary Maker-Breaker game, except that instead of alternating turns, a coin is being tossed before each turn to decide the identity of the next player to move (the probability of Maker to move is p). We analyze the random-turn version of several classical games such as the game Box (introduced by Chvátal and Erdős in 1987) and its balancing version, the Hamilton cycle game, the game of creating a copy of a fixed graph H (both played on the edge set of Kn), etc. For each such game we establish the asymptotic order of the minimum value of p for which Maker typically wins the game. Joint work with: Asaf Ferber and Michael Krivelevich

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