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(In)Stability properties of limit order dynamics

Published: 11 June 2006 Publication History

Abstract

We study the stability properties of the dynamics of the standard continuous limit-order mechanism that is used in modern equity markets. We ask whether such mechanisms are susceptible to "buttery effects" --- the iniction of large changes on common measures of market activity by only small perturbations of the order sequence. We show that the answer depends strongly on whether the market consists of "absolute" traders (who determine their prices independent of the current order book state) or "relative" traders (who determine their prices relative to the current bid and ask). We prove that while the absolute trader model enjoys provably strong stability properties, the relative trader model is vulnerable to great instability. Our theoretical results are supported by large-scale experiments using limit order data from INET, a large electronic exchange for NASDAQ stocks.

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  1. (In)Stability properties of limit order dynamics

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    cover image ACM Conferences
    EC '06: Proceedings of the 7th ACM conference on Electronic commerce
    June 2006
    342 pages
    ISBN:1595932364
    DOI:10.1145/1134707
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 11 June 2006

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    Author Tags

    1. computational finance
    2. market microstructure

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    EC06: ACM Conference on Electronic Commerce
    June 11 - 15, 2006
    Michigan, Ann Arbor, USA

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