Mean Field Portfolio Games

Guanxing Fu and Chao Zhou

Papers from arXiv.org

Abstract: We study mean field portfolio games with random market parameters, where each player is concerned with not only her own wealth but also relative performance to her competitors. We use the martingale optimality principle approach to characterize the unique Nash equilibrium in terms of a mean field FBSDE with quadratic growth, which is solvable under a weak interaction assumption. Motivated by the weak interaction assumption, we establish an asymptotic expansion result in powers of the competition parameter. When the market parameters do not depend on the Brownian paths, we obtain the Nash equilibrium in closed form.

Date: 2021-06, Revised 2022-04
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (8)

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