• 1 Introduction
  • 2 Setup and notation
  • 2.1 The Model
  • 2.2 The Equilibrium
  • 3 Almost sure extinction relative to the log fund
  • 3.1 Almost sure convergence of relative fund size
  • 4 Expected relative size of funds
  • 4.1 Bounds on expected relative size of funds
  • 4.2 Convergence of expected relative size
  • 5 Long-term price behavior
  • 6 Portfolio Strategies
  • 6.1 Equilibrium bounds on portfolio weights
  • 6.2 Long run drift and volatility of the stock price
  • 6.3 Limit portfolios
  • 6.4 Continuous risk aversion limit
  • 6.5 The case of two funds
  • 7 Conclusions
  • Appendix
  • References