Mihaly Himics trialsolution

## salhofer1996.gms
* GAMS code based on the bread grain market model in
* Salhofer (1996), “Efficient Income Redistribution for a Small Country Using Optimal Combined Instruments.”

* Salhofer, K. 1996. “Efficient Income Redistribution for a Small Country Using Optimal Combined Instruments.” Agricultural Economics 13 (3): 191–99. doi:10.1016/0169-5150(95)01162-5.


* The code builds on Salhofer's GAMS example provided in the course "Welfare Economics"

* General idea of the optimization model:
* Maximizes consumers/taxpayers surplus s.t. a given support level and four policy instruments

## chap5_gt.gms
*
*
*   This file is an extension of
*   the long-run production problem, as described in Chapter 5 of
*   Gilbert and Tower: Introduction to Numerical Simulation for Trade Theory and Policy.
*
*   for download of the original model go to
*   http://ideas.repec.org/c/uth/gt2013/2012-03.html
*

## nonzero_trade.gms


*
*   --- Small country trading equilibrium

*
*       Reasons for trade in the single country HO model
*       Differences in good and factor prices and factor intensities
*
*

## draw_PPF.gms
*
*   Howto draw a PPF using the GUSS solver option in GAMS
*
*   This file is an extension of
*   the long-run production problem, as described in Chapter 5 of
*   Gilbert and Tower: Introduction to Numerical Simulation for Trade Theory and Policy.
*
*   for download of the original model go to
*   http://ideas.repec.org/c/uth/gt2013/2012-03.html
*

## ces_shares.plt
#
# GNUPLOT script to draw CES functions with different parameters
#

# script based on the implicit function plotting trick from:
# http://gnuplot-surprising.blogspot.de/2011/09/assume-three-is-equation-fxygxy-and-we.html


# uncomment in case you want to save it to a file
#set term png enhanced lw 2 font "Times,18"

## ces_elas.plt
#
# GNUPLOT script to draw CES functions with different parameters
#

# script based on the implicit function plotting trick from:
# http://gnuplot-surprising.blogspot.de/2011/09/assume-three-is-equation-fxygxy-and-we.html

# uncomment in case you want to save it to a file
#set term png enhanced lw 2 font "Times,18"
#set output "ces_elas.png"

## polar_rose.R
require(ggplot2)

#data points
p <- data.frame(t=seq(-2*pi, 2*pi, 0.1))

#1.. drawing polar rose
c <- ggplot(p, aes(x=t, y=cos(3*t)))
c + geom_line() + coord_polar()

#2.. another one with sine

## hos_small_open.gms


*
*   --- Small country trading equilibrium

*
*       Different variants of the same model:
*
*
*       (1) explicit trade balance condition [import value = export value] or 'nested' budget constraint [max. income = production value]

## ev.gms
$ontext


PROBLEM STATMENT
EV analysis from Hazell-Norton

AIM: draw the EV-frontier for the following farm planning problem


MODEL 1. EXPECTED PROFIT MAXIMIZATION (farm with fixed land, 4 crops, fixed labour and a rotational constraint)

## ev2.gms
$ontext


PROBLEM STATMENT
EV analysis from Hazell-Norton

ctnd. from ev.gms

Extension: find the optimal farm decision based on EUH; having the EV-frontier and assuming a utility function
	* GAMS code based on the bread grain market model in
	* Salhofer (1996), “Efficient Income Redistribution for a Small Country Using Optimal Combined Instruments.”

	* Salhofer, K. 1996. “Efficient Income Redistribution for a Small Country Using Optimal Combined Instruments.” Agricultural Economics 13 (3): 191–99. doi:10.1016/0169-5150(95)01162-5.


	* The code builds on Salhofer's GAMS example provided in the course "Welfare Economics"

	* General idea of the optimization model:
	* Maximizes consumers/taxpayers surplus s.t. a given support level and four policy instruments
	*
	*
	* This file is an extension of
	* the long-run production problem, as described in Chapter 5 of
	* Gilbert and Tower: Introduction to Numerical Simulation for Trade Theory and Policy.
	*
	* for download of the original model go to
	* http://ideas.repec.org/c/uth/gt2013/2012-03.html
	*


	*
	* --- Small country trading equilibrium

	*
	* Reasons for trade in the single country HO model
	* Differences in good and factor prices and factor intensities
	*
	*
	*
	* Howto draw a PPF using the GUSS solver option in GAMS
	*
	* This file is an extension of
	* the long-run production problem, as described in Chapter 5 of
	* Gilbert and Tower: Introduction to Numerical Simulation for Trade Theory and Policy.
	*
	* for download of the original model go to
	* http://ideas.repec.org/c/uth/gt2013/2012-03.html
	*
	#
	# GNUPLOT script to draw CES functions with different parameters
	#

	# script based on the implicit function plotting trick from:
	# http://gnuplot-surprising.blogspot.de/2011/09/assume-three-is-equation-fxygxy-and-we.html


	# uncomment in case you want to save it to a file
	#set term png enhanced lw 2 font "Times,18"
	require(ggplot2)

	#data points
	p <- data.frame(t=seq(-2pi, 2pi, 0.1))

	#1.. drawing polar rose
	c <- ggplot(p, aes(x=t, y=cos(3*t)))
	c + geom_line() + coord_polar()

	#2.. another one with sine


	*
	* --- Small country trading equilibrium

	*
	* Different variants of the same model:
	*
	*
	* (1) explicit trade balance condition [import value = export value] or 'nested' budget constraint [max. income = production value]
	$ontext


	PROBLEM STATMENT
	EV analysis from Hazell-Norton

	AIM: draw the EV-frontier for the following farm planning problem


	MODEL 1. EXPECTED PROFIT MAXIMIZATION (farm with fixed land, 4 crops, fixed labour and a rotational constraint)