Hierarchical open Leontief models

Fuzzy Hierarchical Location-Allocation Models for Congested Systems

There exist various service systems that have hierarchical structure. In hierarchical service networks, facilities at different levels provide different types of services. For example, in health care systems, general centers provide low-level services such as primary health care services, while the specialized hospitals provide high-level services. Because of demand congestion in service networ...

Hierarchical Models as Marginals of Hierarchical Models

We investigate the representation of hierarchical models in terms of marginals of other hierarchical models with smaller interactions. We focus on binary variables and marginals of pairwise interaction models whose hidden variables are conditionally independent given the visible variables. In this case the problem is equivalent to the representation of linear subspaces of polynomials by feedfor...

Hierarchical Models

Bayesian Hierarchical Models 1 Running head: BAYESIAN HIERARCHICAL MODELS Bayesian Hierarchical Models

Market Equilibria with Hybrid Linear-Leontief Utilities

We introduce a new family of utility functions for exchange markets. This family provides a natural and ”continuous” hybridization of the traditional linear and Leontief utilities and might be useful in understanding the complexity of computing and approximating of market equilibria. We show that a Fisher equilibrium of an exchange market with m commodities and n traders and hybrid linear-Leont...