An inverse variational inequality approach to the evolutionary spatial price equilibrium problem

2011 ◽  
Vol 13 (3) ◽  
pp. 375-387 ◽  
Author(s):  
Laura Scrimali
Keyword(s):  
Variational Inequality ◽  
Equilibrium Problem ◽  
Price Equilibrium ◽  
Spatial Price Equilibrium ◽  
Spatial Price ◽  
Inverse Variational Inequality ◽  
Spatial Price Equilibrium Problem

A PROGRESSIVE EQUILIBRATION ALGORITHM FOR GENERAL MARKET EQUILIBRIUM PROBLEMS UNDER CONSTRAINTS

2013 ◽  
Vol 30 (03) ◽  
pp. 1340006
Author(s):  
GANG QIAN ◽  
HONGJIN HE ◽  
DEREN HAN
Keyword(s):  
Variational Inequality ◽  
Global Convergence ◽  
Equilibrium Problem ◽  
Equilibrium Problems ◽  
Market Equilibrium ◽  
Numerical Results ◽  
Price Equilibrium ◽  
Spatial Price Equilibrium ◽  
Scarce Resources ◽  
Spatial Price

This paper considers the general Spatial Price Equilibrium (SPE) problem under constraints of supply-guarantee at demand markets and, in the meantime, protecting the scarce resources at supply markets. We first formulate the equilibrium problem as a variational inequality (VI) problem with partially unknown mapping. Then, we propose a progressive equilibration algorithm for solving the problem under consideration. The global convergence of the proposed method is proved under suitable assumptions. Some preliminary numerical results demonstrate the reliability of the proposed algorithm.

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