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Computer Science > Computer Science and Game Theory

arXiv:2208.04516 (cs)
[Submitted on 9 Aug 2022 (v1), last revised 15 Aug 2022 (this version, v2)]

Title:Mixed Capability Games

Authors: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.
Subjects: Computer Science and Game Theory (cs.GT)
Cite as: arXiv:2208.04516 [cs.GT]
  (or arXiv:2208.04516v2 [cs.GT] for this version)
  https://doi.org/10.48550/arXiv.2208.04516

Submission history

From: Kai Jia [view email]
[v1] Tue, 9 Aug 2022 03:02:31 UTC (44 KB)
[v2] Mon, 15 Aug 2022 21:18:09 UTC (31 KB)
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