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Imperfect information and inefficiency of auctions

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Abstract

  1. Introduction

    1.1 Periodic auction and continuous limit order book

    1.2 Comparison and main flaws of limit order book

    1.3 Optimal policies to cure auction’s inefficiencies and related works

  2. Auctions market modeling with transaction fees and randomization

    2.1 The market characteristics

    2.2 Clearing Price rule

    2.3 Strategic Trader’s optimization and market quality

    2.4 Data and numerical analysis

    2.5 Strategic trader with full information: efficient but unfair market

    2.6 Imperfect information and inefficiency of auctions

  3. Monitoring policies: transaction fees and clearing time randomization

    3.1 Bilevel optimization between the exchange and the strategic trader

    3.2 Randomization without fees

    3.3 Optimal transaction fees indexed on time to improve price impact for the trader

    3.4 Optimal transaction fees indexed on time: improving market quality while benefiting from the fees

  4. Conclusions


A. Appendix: Numerical Methods

A.1 Problem of a Strategic Seller

A.2 Appendix: Problem of the Regulator

B Appendix: Illustrate Remark 2.4


(1) Thibaut Mastrolia, UC Berkeley, Department of Industrial Engineering and Operations Research ([email protected]);

(2) Tianrui Xu, UC Berkeley, Department of Mathematics ([email protected]).


This paper is available on arxiv under CC BY 4.0 DEED license.

[6] Note that Case (−) is more likely to happen than Case (+) since we are studying a seller not a buyer.


[7] Alphabet’s graphs carry the same spirit as Apple’s graphs. For the sake of simplicity, we only analyze the data from Apple in this part.

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