In this paper we derive an approximation of the real wage index that does not require the estimation of preferences. The major advantage of this approach is that the measure is extremely easy to compute and provides a first-order approximation of the rate of change in the real wage index.

We examine a multi-dimensional incomplete information Colonel Blotto game in which each player’s n-tuple of battlefield valuations is drawn from a common n-variate joint distribution function that is uniform on the non-negative orthant of the surface of a sphere.