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Mathematical programming with equilibrium constraints information


Mathematical programming with equilibrium constraints (MPEC) is the study of constrained optimization problems where the constraints include variational inequalities or complementarities. MPEC is related to the Stackelberg game.

MPEC is used in the study of engineering design, economic equilibrium, and multilevel games.

MPEC is difficult to deal with because its feasible region is not necessarily convex or even connected.

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Mathematical programming with equilibrium constraints

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Mathematical programming with equilibrium constraints (MPEC) is the study of constrained optimization problems where the constraints include variational...

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Extended Mathematical Programming

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problems modeled with EMP are reformulated to mathematical programs with equilibrium constraints (MPECs) and then they are solved with one of the GAMS...

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Mathematical optimization

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Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criterion...

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IPOPT

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Mathematical programming with equilibrium constraints (MPEC). This version of IPOPT is generally known as IPOPT-C (with the 'C' standing for 'complementarity')...

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Stackelberg competition

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competition Extensive form game Industrial organization Mathematical programming with equilibrium constraints Simaan, M.; Cruz, J. B. (May 1973). "On the Stackelberg...

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Algebraic modeling language

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mathematical programs with equilibrium constraints constrained nonlinear systems general nonlinear problems non-linear programs with discontinuous derivatives...

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Complementarity theory

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topological degree theory and nonlinear analysis. Mathematical programming with equilibrium constraints nl format for representing complementarity problems...

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Mathematical economics

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Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods...

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Linear programming

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Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique...

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Bilevel optimization

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optimization task and are commonly referred as mathematical programming problems with equilibrium constraints (MPEC). The upper level objective in such problems...

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Mathematical model

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developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and in the natural sciences (such as physics...

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Variational inequality

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variational inequality Extended Mathematical Programming for Equilibrium Problems Mathematical programming with equilibrium constraints Obstacle problem Projected...

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List of numerical analysis topics

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iterative partial least squares (NIPLS) Mathematical programming with equilibrium constraintsconstraints include variational inequalities or complementarities...

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Dual linear program

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a linear combination of the constraints, with positive coefficients, such that the coefficients of x in the constraints are at least cT. This linear...

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MPEC

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MPEC may refer to: Mathematical programming with equilibrium constraints Minor Planet Electronic Circular Multi-Purpose Experiment Canister (MPEC (US...

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Quadratically constrained quadratic program

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In mathematical optimization, a quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and...

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General equilibrium theory

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will result in an overall general equilibrium. General equilibrium theory contrasts with the theory of partial equilibrium, which analyzes a specific part...

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Bellman equation

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necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. It writes the "value" of a decision problem...

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Chemical equilibrium

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chemical equilibrium is the state in which both the reactants and products are present in concentrations which have no further tendency to change with time...

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Equilibrium constant

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The equilibrium constant of a chemical reaction is the value of its reaction quotient at chemical equilibrium, a state approached by a dynamic chemical...

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Computable general equilibrium

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general equilibrium) models. A CGE model consists of equations describing model variables and a database (usually very detailed) consistent with these model...

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Dynamic discrete choice

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case of mathematical programming with equilibrium constraints (MPEC). Specifically, the likelihood function is maximized subject to the constraints imposed...

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Microeconomics

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consumers may achieve equilibrium between preferences and expenditures by maximizing utility subject to consumer budget constraints. Production theory is...

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Virtual work

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is in harmony with the given kinematic constraints." The argument is as follows. The principle of virtual work states that in equilibrium the virtual work...

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Thermodynamics

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entropy, that increases as the constraints are removed, eventually reaching a maximum value at thermodynamic equilibrium, when the inhomogeneities practically...

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Comparison of optimization software

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libraries with significant optimization coverage. List of optimization software "The Nature of Mathematical Programming," Mathematical Programming Glossary...

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Climate sensitivity

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Caldwell PM, Zelinka MD, Klein SA (2018). "Evaluating Emergent Constraints on Equilibrium Climate Sensitivity". Journal of Climate. 31 (10): 3921–3942....

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