Abstract
The paper presents a more complete theory of utility. In order to do so, the paper begins with Jon Von Neumann's original method of correspondences found in Theory of Games. Then by means of different correspondences between objects we define the entire economic game space as a pseudo-Euclidean space-time continuum. Using Green's method for ellipsoids of variable densities, we are then able to create a utility function which contains a removable hole discontinuity at the origin, and is continuous for returns bounded from negative one to infinity.
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