Optimal growth strategies for a representative agent in a continuous-time asset market
Mathematical Finance
2022-11-11 v1
Abstract
We propose a multi-agent model of an asset market and study conditions that guarantee that the strategy of an individual agent cannot outperform the market. The model assumes a mean-field approximation of the market by considering an infinite number of infinitesimal agents who use the same strategy and another infinitesimal agent with a different strategy who tries to outperform the market. We show that the optimal strategy for the market agents is to split their investment budgets among the assets proportionally to their discounted expected relative dividend intensities.
Keywords
Cite
@article{arxiv.2211.05316,
title = {Optimal growth strategies for a representative agent in a continuous-time asset market},
author = {Mikhail Zhitlukhin},
journal= {arXiv preprint arXiv:2211.05316},
year = {2022}
}