Equilibrium Model

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June Dong - One of the best experts on this subject based on the ideXlab platform.

  • a supply chain network Equilibrium Model with random demands
    European Journal of Operational Research, 2004
    Co-Authors: June Dong, Ding Zhang, Anna Nagurney
    Abstract:

    Abstract In this paper, we develop a supply chain network Model consisting of manufacturers and retailers in which the demands associated with the retail outlets are random. We Model the optimizing behavior of the various decision-makers, derive the Equilibrium conditions, and establish the finite-dimensional variational inequality formulation. We provide qualitative properties of the Equilibrium pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. Finally, we illustrate the Model through several numerical examples for which the Equilibrium prices and product shipments are computed. This is the first supply chain network Equilibrium Model with random demands for which Modeling, qualitative analysis, and computational results have been obtained.

  • A supply chain network Equilibrium Model
    Transportation Research Part E-logistics and Transportation Review, 2002
    Co-Authors: Anna Nagurney, June Dong, Ding Zhang
    Abstract:

    This paper develops an Equilibrium Model of a competitive supply chain network that can provide a benchmark for evaluating both price and product flows. This Model is sufficiently general to capture both the independent behavior of various decision-makers (manufacturers, retailers and consumers) as well as the effect of their interactions. The network structure of the supply chain is identified and Equilibrium conditions are derived. A finite-dimensional variational inequality formulation is established. The algorithm is applied to numerical examples to determine the Equilibrium product flows and prices. Theoretical and empirical results demonstrate that solutions to supply chain network Equilibrium problems with nonlinear and nonseparable functions can be computed using the modified projection method. The Model provides the foundation for developing dynamic Models for the study of the evolution of supply chains.

  • a multiclass multicriteria traffic network Equilibrium Model with elastic demand
    Transportation Research Part B-methodological, 2002
    Co-Authors: Anna Nagurney, June Dong
    Abstract:

    In this paper, we develop a multiclass, multicriteria traffic network Equilibrium Model in which travelers of a class perceive their travel disutility or generalized cost on a route as a weighting of travel time and travel cost, each of which is flow-dependent. In addition, the weights are not only class-dependent but also link-dependent. The Model is an elastic demand Model and allows the demand function for each class and origin/destination (O/D) pair to depend, in general, upon the disutilities of all classes at all O/D pairs. The formulation of the governing Equilibrium conditions, as well as the qualitative analysis, and the computational procedure, are based on finite-dimensional variational inequality theory. The Model provides an alternative to existing multimodal and multicriteria traffic network Equilibrium Models and has location choice implications as well.

Anna Nagurney - One of the best experts on this subject based on the ideXlab platform.

  • a supply chain network Equilibrium Model with random demands
    European Journal of Operational Research, 2004
    Co-Authors: June Dong, Ding Zhang, Anna Nagurney
    Abstract:

    Abstract In this paper, we develop a supply chain network Model consisting of manufacturers and retailers in which the demands associated with the retail outlets are random. We Model the optimizing behavior of the various decision-makers, derive the Equilibrium conditions, and establish the finite-dimensional variational inequality formulation. We provide qualitative properties of the Equilibrium pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. Finally, we illustrate the Model through several numerical examples for which the Equilibrium prices and product shipments are computed. This is the first supply chain network Equilibrium Model with random demands for which Modeling, qualitative analysis, and computational results have been obtained.

  • A supply chain network Equilibrium Model
    Transportation Research Part E-logistics and Transportation Review, 2002
    Co-Authors: Anna Nagurney, June Dong, Ding Zhang
    Abstract:

    This paper develops an Equilibrium Model of a competitive supply chain network that can provide a benchmark for evaluating both price and product flows. This Model is sufficiently general to capture both the independent behavior of various decision-makers (manufacturers, retailers and consumers) as well as the effect of their interactions. The network structure of the supply chain is identified and Equilibrium conditions are derived. A finite-dimensional variational inequality formulation is established. The algorithm is applied to numerical examples to determine the Equilibrium product flows and prices. Theoretical and empirical results demonstrate that solutions to supply chain network Equilibrium problems with nonlinear and nonseparable functions can be computed using the modified projection method. The Model provides the foundation for developing dynamic Models for the study of the evolution of supply chains.

  • a multiclass multicriteria traffic network Equilibrium Model with elastic demand
    Transportation Research Part B-methodological, 2002
    Co-Authors: Anna Nagurney, June Dong
    Abstract:

    In this paper, we develop a multiclass, multicriteria traffic network Equilibrium Model in which travelers of a class perceive their travel disutility or generalized cost on a route as a weighting of travel time and travel cost, each of which is flow-dependent. In addition, the weights are not only class-dependent but also link-dependent. The Model is an elastic demand Model and allows the demand function for each class and origin/destination (O/D) pair to depend, in general, upon the disutilities of all classes at all O/D pairs. The formulation of the governing Equilibrium conditions, as well as the qualitative analysis, and the computational procedure, are based on finite-dimensional variational inequality theory. The Model provides an alternative to existing multimodal and multicriteria traffic network Equilibrium Models and has location choice implications as well.

Enrique G Mendoza - One of the best experts on this subject based on the ideXlab platform.

  • a general Equilibrium Model of sovereign default and business cycles
    Quarterly Journal of Economics, 2012
    Co-Authors: Enrique G Mendoza
    Abstract:

    Emerging markets business cycle Models treat default risk as part of an exogenous interest rate on working capital, while sovereign default Models treat income fluctuations as an exogenous endowment process with ad-noc default costs. We propose instead a general Equilibrium Model of both sovereign default and business cycles. In the Model, some imported inputs require working capital financing; default on public and private obligations occurs simultaneously. The Model explains several features of cyclical dynamics around default triggers an efficiency loss as these inputs are replaced by imperfect substitutes; and default on public and private obligations occurs simultaneously. The Model explains several features of cyclical dynamics around deraults, countercyclical spreads, high debt ratios, and key business cycle moments.

  • a general Equilibrium Model of sovereign default and business cycles
    National Bureau of Economic Research, 2011
    Co-Authors: Enrique G Mendoza
    Abstract:

    Emerging markets business cycle Models treat default risk as part of an exogenous interest rate on working capital, while sovereign default Models treat income fluctuations as an exogenous endowment process with ad-hoc default costs. We propose instead a general Equilibrium Model of both sovereign default and business cycles. In the Model, some imported inputs require working capital financing; default triggers an efficiency loss as these inputs are replaced by imperfect substitutes; and default on public and private obligations occurs simultaneously. The Model explains several features of cyclical dynamics around defaults, countercyclical spreads, high debt ratios, and key business cycle moments.

Soong N Sohng - One of the best experts on this subject based on the ideXlab platform.

  • the cournot competition in the spatial Equilibrium Model
    Energy Economics, 2002
    Co-Authors: Chin W Yang, Ming J Hwang, Soong N Sohng
    Abstract:

    Abstract In this paper, we develop conditions for the Takayama–Judge spatial Equilibrium Model to collapse into the classical Cournot Model. In the case of heterogeneous demand and cost functions, the linear complementarity programming formulation is proposed to Model the spatial Cournot Model. Lastly, we implement the spatial Equilibrium Cournot Model to the US coal market and compare its performance to that of the original Takayama–Judge Model. To the best of our knowledge, this is the only spatial Equilibrium Cournot Model estimated and implemented.

Chin W Yang - One of the best experts on this subject based on the ideXlab platform.

  • the cournot competition in the spatial Equilibrium Model
    Energy Economics, 2002
    Co-Authors: Chin W Yang, Ming J Hwang, Soong N Sohng
    Abstract:

    Abstract In this paper, we develop conditions for the Takayama–Judge spatial Equilibrium Model to collapse into the classical Cournot Model. In the case of heterogeneous demand and cost functions, the linear complementarity programming formulation is proposed to Model the spatial Cournot Model. Lastly, we implement the spatial Equilibrium Cournot Model to the US coal market and compare its performance to that of the original Takayama–Judge Model. To the best of our knowledge, this is the only spatial Equilibrium Cournot Model estimated and implemented.