(i) The integral of a non-negative extended real-valued measurabele function f on R d is given by R d f (x)dx = sup g R d g(x)dx where the supremum is taken over all bounded functions 0 ≤ g ≤ f which are bounded and supported on a set of finite measure. (ii) First suppose α < −n, and define a strictly decreasing sequence x m 0. We define step functions g n as follows. Define the sets A m = B xm...

Market prices are well known to efficiently collect and aggregate diverse information regarding the value of commodities and assets. The role of markets has been particularly suitable to pricing financial securities. This article provides an alternative application of the pricing mechanism to marketing research using pseudo-securities markets to measure preferences over new product concepts. Su...