Maker-Maker and Maker-Breaker Games are PSPACE-Complete

Authors

  • Jesper Makholm Byskov

DOI:

https://doi.org/10.7146/brics.v11i14.21839

Abstract

We show that the problems of deciding the outcome of Maker-Maker and Maker-Breaker games played on arbitrary hypergraphs are PSPACE-complete. Maker-Breaker games have earlier been shown PSPACE-complete by Schaefer (1978); we give a simpler proof and show a reduction from Maker-Maker games to Maker-Breaker games.

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Published

2004-08-11

How to Cite

Byskov, J. M. (2004). Maker-Maker and Maker-Breaker Games are PSPACE-Complete. BRICS Report Series, 11(14). https://doi.org/10.7146/brics.v11i14.21839