Capital Games and Growth Equilibria

Ben Abramowitz
10/1/2025
cs.GTcs.MAecon.TH

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Abstract

We introduce capital games, which generalize the definition of standard games to incorporate dynamics. In capital games, payoffs are in units of capital which are not assumed to be units of utility. The dynamics allow us to infer player utilities from their individual payoffs and linearizable capital dynamics under the assumption that players aim to maximize the time-average growth rate of their capital.

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Cite this paper

@article{abramowitz2025capital,
  title  = {Capital Games and Growth Equilibria},
  author = {Ben Abramowitz},
  year   = {2025},
  eprint = {2510.00472},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2510.00472v2}
}

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