We present a new class of strategic games, mixed capability games, as a foundation for studying how different player capabilities impact the dynamics and outcomes of strategic games. We analyze the impact of different player capabilities via a capability transfer function that characterizes the payoff of each player at equilibrium given capabilities for all players in the game. In this paper, we model a player's capability as the size of the strategy space available to that player. We analyze a mixed capability variant of the Gold and Mines Game recently proposed by Yang et al. and derive its capability transfer function in closed form.
翻译:我们展示了新型的战略游戏,混合能力游戏,作为研究不同玩家能力如何影响战略游戏的动态和结果的基础。我们通过能力转移功能分析不同玩家能力的影响,这种能力转移功能将每个玩家在平衡时的回报定性为游戏中所有玩家的给定能力。在本文中,我们将玩家的能力作为可供玩家使用的战略空间的大小来模型。我们分析了Yang等人最近提议的金矿游戏混合能力变体,并以封闭的形式得出其能力转移功能。