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Economic Equilibrium Modeling with GAMS

Economic Equilibrium Modeling with GAMS

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10<br />

Work space allocated -- 4.86 Mb<br />

Default price normalization using income for RA<br />

This information is largely self-explanatory. The most important items are the SOLVER<br />

STATUS and MODEL STATUS indicators. When the solver status is 1 and the model status<br />

is 1, the system has returned an equilibrium.<br />

For small models such as this, the limits on resource usage (time) and solver iterations<br />

have no e ect. You can modify these values by adding statements \model.RESLIM =<br />

number of cpu seconds;" and \model.ITERLIM = number of iterations;" before the SOLVE<br />

statement.<br />

The work space allocation for MPSGE models is determined by the number of variables<br />

in the model. It is possible to exogenously specify the work space allocation by assigning<br />

model.WORKSPACE = xx; where xx is the desired number of megabytes.<br />

The nal message, \Default price normalization..." reminds the user that an<br />

Arrow-Debreu general equilibrium model determines only relative prices. In such anequilibrium,<br />

the absolute scaling of prices is indeterminant. (I.e., if (p ;M ) are a set of<br />

equilibrium prices and income levels, then (2p ; 2M ) is also a solution, etc.)<br />

It is common practice in economics to address the normalization issue through the<br />

speci cation of a numeraire commodity. You can do this for an MPSGE model by \ xing"<br />

a price, <strong>with</strong> a statement like: \PX.FX = 1;" entered following the model declaration<br />

($SYSINCLUDE mpsgeset) but prior to the solver invocation. When any price or income<br />

level is xed, MPSGE recognizes that a numeraire has been speci ed and does no automatic<br />

normalization.<br />

Following some output from the solver (PATH in this case), the listing le provides<br />

a complete report of equilibrium values. With MPSGE models, the equation listings are<br />

super uous. The variable listings provide all the relevant information.

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