Collective and Unitary Models: A Clarification

Collective and Unitary Models: a Clarification

HO USEHOLD D ECI SION -MAKI NG Collective and unitary models: A clarification

In this note we identify and clarify a confusion that has arisen in the literature about the exact relationship between unitary and collective models and what enters the Pareto weight and the sharing function. We suggest that we should denote as ‘unitary’ any model that leads to outcomes that satisfy the Slutsky conditions whether or not these outcomes depend on distribution factors. In particu...

Collective and unitary models: a clarification1

Unitary Multiperipheral Models*

The method of constructing unitary S-matrices developed in a recent paper is generalized and applied to two versions of the multiperipheral model. In these models the standard perturbation expansion of the S-matrix diverges, so an alternative expansion with improved convergence properties is developed. It is shown that the unitarity condition generates a new type of cut in the angular momentum ...

Unitary Matrix Models and Painlevé III

We discussed relations between the full unitary matrix models and the Painlevé III. Coupling the Toda equations and the string equations, we derive a special case of the P III equation. From the Virasoro constrains, we can use the radial coordinate. The relation between t1 and t−1 is like the complex conjugate.