Due to their underlying assumptions, the standard concepts of risk aversion and preference for the present are generally defined separately and represented by scalar measures, and this implies many shortcomings. More specifically, if measured by a scalar, the risk aversion remains unchanged,...

We study arbitrage opportunities in diverse markets as introduced by R. Fernholz in [2]. By a change of measure technique we are able to generate a variety of diverse markets. The construction is based on an absolutely continuous but non-equivalent measure change which implies the existence of...