The approximate agents' wealth and price invariant densities of the prediction market model presented in Kets et al.(2014) is derived using the Fokker-Planck equation of the associated continuous-time jump process. We show that the approximation obtained from the evolution of log-wealth...

We investigate market selection and bet pricing in a simple Arrow security economy which we show is equivalent to the repeated prediction market models studied in the literature. We derive the condition for long run survival of more than one agent (the crowd) and quantify the information content...

In a dynamic stochastic exchange economy where, due to beliefs heterogeneity, agents engage in speculative trade, I investigate the Market Selection Hypothesis that speculation rewards the agent with the most accurate beliefs. Assuming that agents maximize Epstein-Zin preferences and that...