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  1. Portfolio liquidation games with self-exciting order flow
    Published: [2022]
    Publisher:  Collaborative Research Center Transregio 190, [München]

    We analyze novel portfolio liquidation games with self-exciting order flow. Both the N-player game and the mean-field game are considered. We assume that players' trading activities have an impact on the dynamics of future market order arrivals... more

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    ZBW - Leibniz-Informationszentrum Wirtschaft, Standort Kiel
    DS 553
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    We analyze novel portfolio liquidation games with self-exciting order flow. Both the N-player game and the mean-field game are considered. We assume that players' trading activities have an impact on the dynamics of future market order arrivals thereby generating an additional transient price impact. Given the strategies of her competitors each player solves a mean-field control problem. We characterize open-loop Nash equilibria in both games in terms of a novel mean-field FBSDE system with unknown terminal condition. Under a weak interaction condition we prove that the FBSDE systems have unique solutions. Using a novel sufficient maximum principle that does not require convexity of the cost function we finally prove that the solution of the FBSDE systems do indeed provide open-loop Nash equilibria.

     

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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Online
    Other identifier:
    hdl: 10419/256794
    Series: Discussion paper / Rationality & Competition, CRC TRR 190 ; no. 327 (May 5, 2022)
    Subjects: stochastic games; mean-field games; portfolio liquidation; Hawkes process; singular terminal value
    Scope: 1 Online-Ressource (circa 36 Seiten), Illustrationen