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close this bookMicrocomputers In Policy Research 4b - Key to Exercises in CGE Modeling Using GAMS (includes software) (IFPRI, 2000, 69 p.)
View the document(introduction...)
View the documentExercise 1: GAMS Code
View the documentExercise A1: GAMS Code
View the documentExercise 2: Mathematical Statement
View the documentExercise 2: GAMS Code
View the documentExercise 3: Mathematical Statement
View the documentExercise 3: GAMS Code
View the documentExercise 4: Mathematical Statement
View the documentExercise 4: GAMS Code
View the documentExercise 5: GAMS Code

Exercise 2: Mathematical Statement

NOTATION

a Î A

activities



{AGR-A agricultural activity

Sets


NAGR-A nonagricultural activity}


c Î C

commodities



{AGR-C agricultural commodity



NAGR-C nonagricultural commodity}


f Î F

factors



{LAB labor



CAP capital}


h Î H

households



{U-HHD urban household



R-HHD rural household}




Parameters

ada

efficiency parameter in the production function for activity a


cpi

consumer price index (CPI)


cwtsc

weight of commodity c in the CPI


icaca

qnty of c as intermed. input per unit of output in activity a


qfsf

supply of factor f


shryhf

share for household h in the income of factor f


afa

share of value-added to factor f in activity a


bch

share in household h consumption spending of commodity c


qac

yield of output c per unit of activity a




Variables

Pc

market price of commodity c


PAa

price of activity a


PVAa

value-added (or net) price of activity a


Qc

output level in commodity c


QAa

level of activity a


QFfa

demand for factor f from activity a


QHch

consumption of commodity c by household h


QINTca

qnty of commodity c as intermediate input in activity a


WFf

price of factor f


YFhf

income of household h from factor f


YHh

income of household h

EQUATIONS


a Î A

(1)

Production and Commodity Block


f Î F, a Î A

(2)



c Î C, a Î A

(3)



a Î A

(4)



a Î A

(5)



c Î C

(6)

Institution Block


h Î H, f Î F

(7)



h Î H

(8)



c Î C, h Î H

(9)

System Constraint Block


f Î F

(10)



c Î C

(11)



(12)