TL;DR
This paper provides a rigorous analysis of the traditional game Picaria, proving it is a draw with optimal play, and offers strategic insights for players.
Contribution
It presents the first formal solution to Picaria, demonstrating its draw nature and analyzing optimal strategies, which was previously unexplored.
Findings
Picaria is a guaranteed draw with perfect play.
The paper offers strategic guidelines for players.
It formalizes Picaria's game theory model.
Abstract
Picaria is a traditional board game, played by the Zuni tribe of the American Southwest and other parts of the world, such as a rural Southwest region in Sweden. It is related to the popular children's game of Tic-tac-toe, but the 2 players have only 3 stones each, and in the second phase of the game, pieces are slided, along specified move edges, in attempts to create the three-in-a-row. We provide a rigorous solution, and prove that the game is a draw; moreover our solution gives insights to strategies that players can use.
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Taxonomy
TopicsEducational Games and Gamification · Mathematics Education and Teaching Techniques · Artificial Intelligence in Games