We develop the idea of using Monte Carlo sampling of random portfolios to solve portfolio investment problems. In this first paper we explore the need for more general optimization tools, and consider the means by which constrained random portfolios may be generated. A practical scheme for the...

When agents agree to disagree about the expected growth rate of the aggregate endowment process, we study the asset price dynamics under “Keeping up with the Joneses” (KUJ) meaning that each agent maximizes the expected life-time CRRA utility of his relative consumption to the other agent in...