Why Mastermind?

MastermindSince nobody is reviewing this, I’m not giving a long answer this question posed by one of the reviewers of a paper I submitted ages ago, in the nineties, proposing solutions using evolutionary algorithms to the game. However, the short question, as happens with most everything in Science, it’s because it’s there. However, after this empirical study of exhaustive solutions it is a bit closer.
In this paper, which is a draft of something we intend to submit to a journal in the near future, we describe something that has been disregarded in Mastermind solutions: the pure chance of drawing the correct solution in the opening moves. In fact, this chance dominates in the first moves, until the search space is reduced to a single solution, which is usually the intention of most empirical solutions to the game.
Which means that a method that is able to increase that chance, will be able to beat traditional solutions. In fact, it does not, but it is consistently as good as the best solution for each size.
It is rather a longish paper (and might become even more so before submission), but you might learn a thing or two about Mastermind. Besides, it is intended as a base for future papers that will apply our usual techniques, evolutionary algorithms.

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  1. Pingback: Is entropy good for solving the game of MasterMind? | GeNeura Team

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