hansmge.gms : Hansen's Activity Analysis Example - MPSGE
Hansen's Activity Analysis Example - MPSGE
Reference:
- Scarf, H, and Hansen, T, The Computation of Economic Equilibria. Yale University Press, 1973.
Small Model of Types: MPSGE mcp
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$TITLE Hansen's Activity Analysis Example - MPSGE (HANSMGE,SEQ=147)
$Ontext
Hansen's Activity Analysis Example - MPSGE
Scarf, H, and Hansen, T, The Computation of Economic Equilibria.
Yale University Press, 1973.
$Offtext
SETS C COMMODITIES
/ AGRIC, FOOD, TEXTILES, HSERV, ENTERT, HOUSEOP, CAPEOP, STEEL,
COAL, LUMBER, HOUSBOP, CAPBOP, LABOR, EXCHANGE/
N(C) NUMERAIRE /LABOR/
H CONSUMERS
/ AGENT1, AGENT2, AGENT3, AGENT4 /
S SECTORS
/ DOM1, DOM2, DOM3, DOM4, DOM5, DOM6, DOM7,
DOM8, DOM9, DOM10, DOM11, DOM12,
IMP1, IMP2, IMP3, IMP4, IMP5, IMP6, IMP7,
EXP1, EXP2, EXP3, EXP4, EXP5, EXP6, EXP7 /
ALIAS (C,CC);
TABLE E(C,H) Commodity endowments
AGENT1 AGENT2 AGENT3 AGENT4
HOUSBOP 2 0.4 0.8
CAPBOP 3 2 7.5
LABOR 0.6 0.8 1 0.6
TABLE D(C,H) Reference demands
AGENT1 AGENT2 AGENT3 AGENT4
AGRIC 0.1 0.2 0.3 0.1
FOOD 0.2 0.2 0.2 0.2
TEXTILES 0.1 0.1 0.3 0.1
HSERV 0.1 0.1 0.1 0.1
ENTERT 0.1 0.1 0.1 0.1
HOUSEOP 0.3 0.1 0.1
CAPEOP 0.1 0.2 0.3;
PARAMETER ESUB(H) Elasticities in demand
/ AGENT1 1, AGENT2 1,
AGENT3 1, AGENT4 1 /;
TABLE DATA(*,C,S) Activity analysis matrix
DOM1 DOM2 DOM3 DOM4 DOM5
OUTPUT.AGRIC 5.00
OUTPUT.FOOD 5.00
OUTPUT.TEXTILES 2.00
OUTPUT.HSERV 2.00
OUTPUT.ENTERT 4.00
OUTPUT.HOUSEOP 0.32
OUTPUT.CAPEOP 0.40 1.30 1.20
INPUT .AGRIC 3.50 0.10 0.70
INPUT .FOOD 0.90 0.10 0.80
INPUT .TEXTILES 0.20 0.50 0.10 0.10
INPUT .HSERV 1.00 2.00 2.00 2.00
INPUT .STEEL 0.20 0.40 0.20 0.10
INPUT .COAL 1.00 0.10 0.10 1.00
INPUT .LUMBER 0.50 0.40 0.30 0.30
INPUT .HOUSBOP 0.40
INPUT .CAPBOP 0.50 1.50 1.50 0.10 0.10
INPUT .LABOR 0.40 0.20 0.20 0.02 0.40
+ DOM6 DOM7 DOM8 DOM9 DOM10
OUTPUT.HOUSEOP 0.80
OUTPUT.CAPEOP 1.10 6.00 1.80 1.20 0.40
OUTPUT.STEEL 2.00
OUTPUT.COAL 2.00
OUTPUT.LUMBER 1.00
INPUT .TEXTILES 0.80 0.40 0.10 0.10 0.10
INPUT .HSERV 0.40 1.80 1.60 0.80 0.20
INPUT .STEEL 1.00 2.00 0.50 0.20
INPUT .COAL 0.20 1.00 0.20
INPUT .LUMBER 3.00 0.20 0.20 0.50
INPUT .CAPBOP 1.50 2.50 2.50 1.50 0.50
INPUT .LABOR 0.30 0.10 0.10 0.40 0.40
+ DOM11 DOM12 IMP1 IMP2 IMP3
OUTPUT.AGRIC 1.00
OUTPUT.FOOD 1.00
OUTPUT.TEXTILES 1.00
OUTPUT.HOUSEOP 0.36
OUTPUT.CAPEOP 0.90
INPUT .HSERV 0.40 0.20 0.20
INPUT .HOUSBOP 0.40
INPUT .CAPBOP 1.00 0.20 0.10 0.10
INPUT .LABOR 0.04 0.02 0.02
INPUT .EXCHANGE 0.50 0.40 0.80
+ IMP4 IMP5 IMP6 IMP7 EXP1
OUTPUT.CAPEOP 1.00
OUTPUT.STEEL 1.00
OUTPUT.COAL 1.00
OUTPUT.LUMBER 1.00
OUTPUT.EXCHANGE 0.50
INPUT .AGRIC 1.00
INPUT .HSERV 0.40 0.40 0.40 0.40 0.20
INPUT .CAPBOP 0.20 0.20 0.20 0.20 0.20
INPUT .LABOR 0.04 0.04 0.04 0.04 0.04
INPUT .EXCHANGE 1.20 0.60 0.70 0.40
+ EXP2 EXP3 EXP4 EXP5 EXP6
OUTPUT.EXCHANGE 0.40 0.80 1.20 0.60 0.70
INPUT .FOOD 1.00
INPUT .TEXTILES 1.00
INPUT .HSERV 0.20 0.20 0.40 0.40 0.40
INPUT .CAPEOP 1.00
INPUT .STEEL 1.00
INPUT .COAL 1.00
INPUT .CAPBOP 0.10 0.10 0.20 0.20 0.20
INPUT .LABOR 0.02 0.02 0.04 0.04 0.04
+ EXP7
OUTPUT.EXCHANGE 0.40
INPUT .HSERV 0.40
INPUT .LUMBER 1.00
INPUT .CAPBOP 0.20
INPUT .LABOR 0.04 ;
$ONTEXT
$MODEL:HANSEN
$SECTORS:
Y(S)
$COMMODITIES:
P(C)
$CONSUMERS:
HH(H)
$PROD:Y(S)
O:P(C) Q:DATA("OUTPUT",C,S)
I:P(C) Q:DATA("INPUT" ,C,S)
$DEMAND:HH(H) s:ESUB(H)
D:P(C) Q:D(C,H)
E:P(C) Q:E(C,H)
$OFFTEXT
* READ THE HEADER:
$SYSINCLUDE mpsgeset HANSEN
P.FX(C)$(ORD(C) EQ 1) = 1;
* GENERATE AND SOLVE THE MODEL:
$INCLUDE HANSEN.GEN
SOLVE HANSEN USING MCP;
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