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On the Road to Making Science of "Art": Risk Bias in Market Scoring Rules

Published: 01 June 2018 Publication History

Abstract

We study market scoring rule MSR prediction markets in the presence of risk-averse or risk-seeking agents that have unknown yet bounded risk preferences. It is well known that if agents can be prescreened, then MSRs can be corrected to elicit agents' beliefs. However, agents cannot always be screened, and instead, an online MSR mechanism is needed. We show that agents' submitted reports always deviate from their beliefs, unless their beliefs are identical to the current market estimate. This means, in most cases it is impossible for a MSR prediction market to elicit an individual agent's exact belief. To analyze this issue, we introduce a measure to calculate the deviation between an agent's reported belief and personal belief. We further derive the necessary and sufficient conditions for a MSR to yield a lower deviation relative to another MSR. We find that the deviation of a MSR prediction market is related to the liquidity provided in the MSR's corresponding cost-function prediction market. We use the relation between deviation and liquidity to present a systematic approach to help determine the amount of liquidity required for cost-function prediction markets, an activity that up to this point has been described as "art" in the literature.

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    Published In

    cover image Decision Analysis
    Decision Analysis  Volume 15, Issue 2
    June 2018
    78 pages

    Publisher

    INFORMS

    Linthicum, MD, United States

    Publication History

    Published: 01 June 2018
    Accepted: 11 September 2017
    Received: 26 September 2016

    Author Tags

    1. cost-function market makers
    2. decision analysis
    3. market depth
    4. market liquidity
    5. market scoring rules
    6. prediction markets
    7. probability forecast
    8. risk aversion

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