Harvey Picker

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The Picker-Chooser diameter game

Positional Games are played under several rules on the same hypergraph. We consider some intriguing connection among the outcome of the Maker-Breaker and the Picker-Chooser versions. The later ones were introduced by Beck in [5] and proved to be important in understanding Positional Games in general. Beck had the profound conjecture that playing on the same hypergraph, Picker has better chances...

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On Chooser-Picker positional games

Two new versions of the so-called Maker-Breaker Positional Games are defined by József Beck. In these variants Picker takes unselected pair of elements and Chooser keeps one of these elements and gives back the other to Picker. In the Picker-Chooser version Picker is Maker and Chooser is Breaker, while the roles are swapped in the Chooser-Picker version. It seems that both the Picker-Chooser an...

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ژورنال

عنوان ژورنال: BMJ

سال: 2008

ISSN: 0959-8138,1756-1833

DOI: 10.1136/bmj.a250