The paper presents an experimental multi-objective game with a simple mechanics and rather complicated payoff structure. The game has been devised as a tool of study how people learn -- not only to play a game, but to recognize new strategic perspectives, how easily they change a pre-conceived problem formulation. The game can be also applied for testing creativity and learning capabilities of students at graduate level as well as of investigating the impact of professional and cultural backgrounds on adaptive decision making. The game illustrates the fact that real-life game-like situations are often multi-objective. while some objectives and their hierarchy or preference structure might be not apparent from the beginning. Effects of multiplicity of equilibria and the possibility of conflict escalation in such cases are also illustrated by the game. The paper presents the rules of the game, an analysis of its various aspects and some preliminary conclusions.