ABSTRACT

Iwoki math is an abstract board game that consists on placing tiles and that combines the calculation of simple mathematical operations with the spatial perception of two-dimensional objects. Due to its inherent features, it is also a very challenging environment to test different artificial intelligence technologies and methods. In this paper, a series of intelligent agents with different reasoning and decision capacities have been developed based on different artificial intelligence techniques applied to game theory, such as Minimax or Reinforcement Learning. Their capabilities have been tested by playing games with each other, but also against human players, obtaining remarkable results. The experimental results ratify conclusions already known at a theoretical level but also provide a new contribution that could be the basis for future research.

摘要

伊沃基数学是一种抽象的棋盘游戏，包括放置瓷砖，并将简单数学运算的计算与二维物体的空间感知相结合。由于其固有的特性，测试不同的人工智能技术和方法也是一个非常具有挑战性的环境。在本文中，基于应用于博弈论的不同人工智能技术，如 Minimax 或强化学习，开发了一系列具有不同推理和决策能力的智能代理。他们的能力已经通过相互玩游戏进行了测试，也与人类玩家进行了测试，取得了显着的成果。实验结果证实了在理论水平上已知的结论，但也提供了可能成为未来研究基础的新贡献。