As robotics technology advances, robots are being created for use in situations where they collaborate with humans on complex tasks.  For this to be safe and successful, it is important to understand what causes humans to trust robots more or less during a collaborative task.  This research project aims to investigate human-robot trust through a collaborative game of logic that can be played with a human and a robot together. This thesis details the development of a game of logic that could be used for this purpose. The game of logic is based upon a popular game in AI research called ‘Wumpus World’. The original Wumpus World game was a low-interactivity game to be played by humans alone. In this project, the Wumpus World game is modified for a high degree of interactivity with a human player, while also allowing the game to be played simultaneously by an AI algorithm.