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arXiv · 2208.04516

Mixed Capability Games

Kai Jia·Martin Rinard·Yichen Yang
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Abstract

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.

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Kai Jia, Martin Rinard, Yichen Yang. 2022-08-09. Mixed Capability Games. https://arxiv.org/abs/2208.04516

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