Mixed Capability Games
Computer Science and Game Theory
2022-08-17 v2
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.
Keywords
Cite
@article{arxiv.2208.04516,
title = {Mixed Capability Games},
author = {Kai Jia and Martin Rinard and Yichen Yang},
journal= {arXiv preprint arXiv:2208.04516},
year = {2022}
}