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Applications of MPEC Models
Abstract:
Optimization has long been used to model a variety of applications. More recently,
complementarity or equilibrium models have become popular (e.g. where there are many
decision makers under no central control). A unifying framework is the mathematical
program with equilibrium constraints (MPEC). We look at a number of applications
modeled effectively using an MPEC framework (e.g. in network design, engineering,
and game theory), demonstrating MPEC's power, flexibility and ease of use.
- Background & Motivation
- Introduction
- MPEC Definition
- MCP Definition
- Identification Problems
- Real Ident Problem
- GAMS Source
- Real Ident Problem II
- Simple Ident Problem
- Simple Ident Problem II
- Simple Ident Problem III
- Model results
- Network design (Rutherford,Dean)
- Network design II
- Network Equilibrium Conditions
- Benchmark – no commuting
- Counterfactuals
- Case I – jobs in NE
- Case II – % New Housing
- Case I – % Pop. Density Change
- Case II – % Pop. Density Change
- Case I – Housing Price
- Case II – Housing Price
- The Stranger
- The Stranger II
- Modeling the game
- Modeling the game II
- Modeling the game III
- Finding a Nash Equilibrium
- Finding Her Winning Range
- Finding Her Winning Range
- Playing for Charity
- Conclusions
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