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Economic Equilibrium Modeling with GAMS

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36<br />

PY EXCHANGE PRICE OF GOOD Y<br />

A CONSUMER A<br />

B CONSUMER B<br />

XAD<br />

YAD<br />

XBD<br />

YBD<br />

---- 281 PARAMETER IRATIO = 0.709 EQUILIBRIUM RATIO OF<br />

CONSUMER INCOMES<br />

PARAMETER PRATIO = 1.790 EQUILIBRIUM PRICE OF<br />

X IN TERMS OF Y<br />

Compute an alternative e cient equilibrium where the income levels for A and B are<br />

equal, to demonstrate that when incomes are both xed, the equilibrium remains e cient,<br />

but the connection between market prices and endowment income is eliminated:<br />

* Fix the income variables using: variable.FX = value:<br />

A.FX = 1;<br />

B.FX = 1;<br />

$INCLUDE EXCHANGE.GEN<br />

SOLVE EXCHANGE USING MCP;<br />

SCALAR TRANSFER IMPLIED TRANSFER FROM A TO B AS A PERCENTAGE OF INCOME;<br />

TRANSFER = 100 * (A.L - (PX.L * XA + PY.L * YA));<br />

PRATIO = PX.L / PY.L;<br />

IRATIO = A.L / B.L;<br />

DISPLAY TRANSFER, PRATIO, IRATIO;<br />

Listing le output is as follows:<br />

LOWER LEVEL UPPER MARGINAL<br />

---- VAR PX . 1.223 +INF .<br />

---- VAR PY . 0.777 +INF .<br />

---- VAR A 1.000 1.000 1.000 EPS<br />

---- VAR B 1.000 1.000 1.000 EPS<br />

---- VAR XAD . 0.318 +INF .<br />

---- VAR YAD . 0.786 +INF .<br />

---- VAR XBD . 0.682 +INF .

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