Simulations of Prediction Markets
Zheyuan (Ryan) Shi, Sindhu Kutty
Prediction Markets are a platform for aggregating information from a population. In these markets, agents trade contracts and receive payments according to the future state of the world . Prediction markets are observed to be more accurate and efficient compared to traditional information aggregation methods such as opinion polls and peer reviews . The Iowa Electronic Markets, a major market for political predictions, have outperformed most mainstream polls and predictions in the US presidential elections since its inception in 1988 . Google, among many others, has successfully implemented internal prediction markets to help the management gather information from employees that is otherwise impossible due to hierarchies and corporate politics .
To aggregate information, incentive compatibility, that the traders are incentivized to truthfully and promptly report their belief, is a core problem. Chen et al.  construct a unique perfect Bayesian equilibrium (PBE) in a binary outcome market based on logarithmic market scoring rule (LMSR) with a finite signal space. Iyer, Johari and Moallemi  prove that in a prediction market proposed by  with finite signal space, a PBE must aggregate the traders' information. However, the existence of such PBE remains a question.
We perform market simulations on the exponential family models of prediction markets . We verify the market dynamics and provide some extensions to the previous models. We then address the incentive compatibility problem using one of our simulated models. Our model allows for infinite signal and outcome spaces, at the cost of putting more restrictions on the strategy space. We show that while the market is guaranteed to achieve information aggregation, whether traders express their beliefs promptly depends on their beliefs and initial market state.
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