Comparing Prediction Market Structures, With an Application to Market Making

Ensuring sufficient liquidity is one of the key challenges for designers of prediction markets. Various market making algorithms have been proposed in the literature and deployed in practice, but there has been little effort to evaluate their benefits and disadvantages in a systematic manner. We introduce a novel experimental design for comparing market structures in live trading that ensures fair comparison between two different microstructures with the same trading population. Participants trade on outcomes related to a two-dimensional random walk that they observe on their computer screens. They can simultaneously trade in two markets, corresponding to the independent horizontal and vertical random walks. We use this experimental design to compare the popular inventory-based logarithmic market scoring rule (LMSR) market maker and a new information based Bayesian market maker (BMM). Our experiments reveal that BMM can offer significant benefits in terms of price stability and expected loss when controlling for liquidity; the caveat is that, unlike LMSR, BMM does not guarantee bounded loss. Our investigation also elucidates some general properties of market makers in prediction markets. In particular, there is an inherent tradeoff between adaptability to market shocks and convergence during market equilibrium.

[1]  Tuomas Sandholm,et al.  Automated market-making in the large: the gates hillman prediction market , 2010, EC '10.

[2]  Robert Forsythe,et al.  Statement on Prediction Markets , 2007 .

[3]  Thomas A. Rietz,et al.  Results from a Dozen Years of Election Futures Markets Research , 2008 .

[4]  David M. Pennock,et al.  A practical liquidity-sensitive automated market maker , 2010, EC '10.

[5]  David M. Pennock,et al.  A Utility Framework for Bounded-Loss Market Makers , 2007, UAI.

[6]  Sanmay Das,et al.  The effects of market-making on price dynamics , 2008, AAMAS.

[7]  Robin Hanson,et al.  On Market Maker Functions , 2012 .

[8]  Sanmay Das A learning market-maker in the Glosten–Milgrom model , 2005 .

[9]  Nancy L. Stokey,et al.  Information, Trade, and Common Knowledge , 1982 .

[10]  J. Farmer,et al.  The Predictive Power of Zero Intelligence in Financial Markets , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[11]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1967 .

[12]  Thomas A. Rietz,et al.  Information Systems Frontiers 5:1, 79–93, 2003 C ○ 2003 Kluwer Academic Publishers. Manufactured in The Netherlands. Prediction Markets as Decision Support Systems , 2022 .

[13]  David M. Pennock,et al.  Prediction Markets: Does Money Matter? , 2004, Electron. Mark..

[14]  Lance Fortnow,et al.  Gaming Prediction Markets: Equilibrium Strategies with a Market Maker , 2010, Algorithmica.

[15]  David M. Pennock,et al.  Algorithmic Game Theory: Computational Aspects of Prediction Markets , 2007 .

[16]  R. Hanson LOGARITHMIC MARKETS CORING RULES FOR MODULAR COMBINATORIAL INFORMATION AGGREGATION , 2012 .

[17]  L. V. Williams,et al.  Prediction Markets , 2003 .

[18]  Paul R. Milgrom,et al.  Bid, ask and transaction prices in a specialist market with heterogeneously informed traders , 1985 .

[19]  Sanmay Das,et al.  Adapting to a Market Shock: Optimal Sequential Market-Making , 2008, NIPS.