Solution to Guiles

July 29, 2005 at 1:16 am (solutions)

Aaron Siegel has found a complete analysis of the misere play of Guiles (Guy and Smith octal code 0.15) by using his recently developed standalone java program, MisereSolver.

The misere quotient semigroup of Guiles has 42 elements, and its pretending function has period 10.

There will be a paper coming out in the next year or so that gives more information. If you want to wade through the details now, before it’s cleaned up for publication, here’s the solution file that gives its misere indistinguishability quotient semigroups to heap 160. That’s more than long enough to guarantee that the periodicity continues indefinitely. And here’s an even bigger log file documenting the same computation, also to heap 160.


  1. richard epstein said,

    I’m finishing a revision of “The Theory of Gambling and Statistical Logic,” which includes a brief description of Guiles and Misere Guiles. I would appreciate learning of any material you have regarding the solutions.
    Thank you,

  2. miseregames said,

    This 0.15 (ie Guiles) summary page gives information about the partial (and complete) misere quotient(s) of misere-play Guiles.

    You can also use this index to browse many thousand other such quotients, for many different octal games.


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