On weight function methods in Chooser-Picker games

@article{BednarskaBzdega2013OnWF,
  title={On weight function methods in Chooser-Picker games},
  author={Malgorzata Bednarska-Bzdega},
  journal={Theor. Comput. Sci.},
  year={2013},
  volume={475},
  pages={21-33}
}
We study NP-hard Chooser–Picker biased games on hypergraphs and their connections to classic Maker–Breaker games. We prove two weight-function-based winning criteria for Picker and show that the Erdős–Selfridge winning criterion for Breaker’s win is also the winning criterion for Picker in (1 : 1) games. Thereby we improve previous results by Beck and by Csernenszky, Mándity and Pluhár. Moreover we estimate the critical bias for Picker in Chooser–Picker (1 : q) games in which the aim of Chooser… CONTINUE READING

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