Minesweeper with Limited Moves

Authors

  • Serge Gaspers UNSW Sydney and Data61, CSIRO
  • Stefan Rümmele UNSW Sydney and University of Sydney
  • Abdallah Saffidine UNSW Sydney
  • Kevin Tran UNSW Sydney

Keywords:

Complexity, Minesweeper, Planning, PSPACE

Abstract

We consider the problem of playing Minesweeper with a limited number of moves: Given a partially revealed board, a number of available clicks k, and a target probability p, can we win with probability p. We win if we do not click on a mine, and, after our sequence of at most k clicks (which reveal information about the neighboring squares) can correctly identify the placement of all mines. We make the assumption, that, at all times, all placements of mines consistent with the currently revealed squares are equiprobable. Our main results are that the problem is PSPACE-complete, and it remains PSPACE-complete when p is a constant, in particular when p = 1. When k = 0 (i.e., we are not allowed to click anywhere), the problem is PP-complete in general, but co-NP-complete when p is a constant, and in particular when p = 1.

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Published

2018-04-25

How to Cite

Gaspers, S., Rümmele, S., Saffidine, A., & Tran, K. (2018). Minesweeper with Limited Moves. Proceedings of the AAAI Conference on Artificial Intelligence, 32(1). Retrieved from https://ojs.aaai.org/index.php/AAAI/article/view/11433

Issue

Section

AAAI Technical Track: Game Playing and Interactive Entertainment