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An optimization-based framework for automated market-making

Published: 05 June 2011 Publication History

Abstract

We propose a general framework for the design of securities markets over combinatorial or infinite state or outcome spaces. The framework enables the design of computationally efficient markets tailored to an arbitrary, yet relatively small, space of securities with bounded payoff. We prove that any market satisfying a set of intuitive conditions must price securities via a convex cost function, which is constructed via conjugate duality. Rather than deal with an exponentially large or infinite outcome space directly, our framework only requires optimization over a convex hull. By reducing the problem of automated market making to convex optimization, where many efficient algorithms exist, we arrive at a range of new polynomial-time pricing mechanisms for various problems. We demonstrate the advantages of this framework with the design of some particular markets. We also show that by relaxing the convex hull we can gain computational tractability without compromising the market institution's bounded budget.

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    cover image ACM Conferences
    EC '11: Proceedings of the 12th ACM conference on Electronic commerce
    June 2011
    384 pages
    ISBN:9781450302616
    DOI:10.1145/1993574
    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: 05 June 2011

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    Author Tags

    1. market making
    2. mechanism design
    3. optimization
    4. prediction markets

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    June 5 - 9, 2011
    California, San Jose, USA

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    Overall Acceptance Rate 664 of 2,389 submissions, 28%

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