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Games with guaranteed scores and waiting moves

Author

Listed:
  • Urban Larsson

    (Dalhousie University)

  • Richard J. Nowakowski

    (Dalhousie University)

  • Carlos P. Santos

    (University of Lisbon)

Abstract

Combinatorial scoring games, with the property ‘extra pass moves for a player will do him no harm’, are characterized. The characterization involves an order embedding of Conway’s normal play games, and we call our class the universe of Guaranteed scoring games. Also, we give a theorem for comparing guaranteed games with scores (numbers) which extends Ettinger’s work on Dicot scoring games.

Suggested Citation

  • Urban Larsson & Richard J. Nowakowski & Carlos P. Santos, 2018. "Games with guaranteed scores and waiting moves," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(2), pages 653-671, May.
    • Handle: RePEc:spr:jogath:v:47:y:2018:i:2:d:10.1007_s00182-017-0590-x
    DOI: 10.1007/s00182-017-0590-x
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    References listed on IDEAS

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    1. Will Johnson, 2014. "The combinatorial game theory of well-tempered scoring games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 415-438, May.
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