public static double[,] Run()
{
Stock labor = new SimplePopulationStock("Labor (L)", 10000, .1);
Stock capital = new Stock("Capital (K)", 1000, GlobalDimensions.get("k"));
Stock technology = new Stock("Technology (A)", 4, GlobalDimensions.get("a"));
RandomVariable shock = new RandomVariable("Shock (epsilon)", .9, 1.1, Dimensionless.Instance);
//technology.IncreasesBy(new Constant("Technological Advancement (gamma)", .1, GlobalDimensions.get("a").DividedBy(GlobalDimensions.Time).DividedBy(GlobalDimensions.get("k"))) * new PassiveDelay(capital, 0) / new PassiveDelay(labor, 0));
TemporalVariable effectiveLabor = labor * technology;
TemporalVariable production = new Function("Production (Y)", x => Math.Pow(x[0], x[2]) * Math.Pow(x[1], (1 - x[2])) * x[3],
GlobalDimensions.get("k"), capital, effectiveLabor, new Constant("Preference (alpha)", .3, Dimensionless.Instance), shock);
Constant savingsRate = new Constant("Savings Rate (s)", .1, GlobalDimensions.Time.RaisedTo(-1));
capital.IncreasesBy(production * savingsRate
- (capital * (new Constant("Depreciation Rate (delta)", .1, GlobalDimensions.Time.RaisedTo(-1)))));
TemporalVariable capitalPerEffectiveLaborer = capital / effectiveLabor;
TemporalVariable productionPerLaborer = production / labor;
double[,] result = new double[100, 3];
for (int tt = 0; tt < 100; tt++)
{
result[tt, 0] = capitalPerEffectiveLaborer.Evaluate(tt);
result[tt, 1] = (1 - savingsRate.Evaluate(tt)) * productionPerLaborer.Evaluate(tt);
result[tt, 2] = labor.Evaluate(tt);
}
return(result);
}
public static double[,] Run()
{
const int count = 100;
const double timescale = 1.0 / 4;
CircleGraph firms = new CircleGraph(count, 4);
firmCapital = new NodeStock("Capital (K)", firms.GraphStack, new NodeConstant("initial", firms.GraphStack, NodeRandomInitial, GlobalDimensions.get("k")));
TemporalVariable firmProduction = new Function("Production (Y)", x => timescale * x[0] * Math.Pow(x[1], x[2]),
GlobalDimensions.get("k"), (firms.NodeEdgeCount() + 1), firmCapital, new Constant("Preference (alpha)", .3, Dimensionless.Instance));
Constant savingsRate = new Constant("Savings Rate (s)", .1, GlobalDimensions.Time.RaisedTo(-1));
firms.AddAction(new StepNodeAction(.1 * timescale, AddRandomEdge)); // technological advancement
firms.AddAction(new StepNodeAction(GrowOrDie, new PassiveDelay(firmProduction, 1), savingsRate, firmCapital, new Constant("Depreciation Rate (delta)", .1 * timescale, GlobalDimensions.Time.RaisedTo(-1))));
double[,] result = new double[1000, 3];
for (int tt = 0; tt < 1000; tt++)
{
collapses = 0;
result[tt, 0] = firms.Sum(firmCapital).Evaluate(tt);
result[tt, 1] = (1 - savingsRate.Evaluate(tt)) * firms.Sum(firmProduction).Evaluate(tt);
result[tt, 2] = collapses;
}
return(result);
}
public static double[,] Run()
{
Stock capital = new Stock("Capital (K)", 1000, GlobalDimensions.get("k"));
Stock technology = new Stock("Technology (A)", 4, GlobalDimensions.get("a"));
RandomVariable shock = new RandomVariable("Shock (epsilon)", .9, 1.1, Dimensionless.Instance);
TemporalVariable production = new Function("Production (Y)", x => x[0] * Math.Pow(x[1], x[2]) * x[3],
GlobalDimensions.get("k"), technology, capital, new Constant("Preference (alpha)", .3, Dimensionless.Instance), shock);
Constant savingsRate = new Constant("Savings Rate (s)", .1, GlobalDimensions.Time.RaisedTo(-1));
capital.IncreasesBy(production * savingsRate
- (capital * (new Constant("Depreciation Rate (delta)", .1, GlobalDimensions.Time.RaisedTo(-1)))));
double[,] result = new double[100, 2];
for (int tt = 0; tt < 100; tt++)
{
result[tt, 0] = capital.Evaluate(tt);
result[tt, 1] = (1 - savingsRate.Evaluate(tt)) * production.Evaluate(tt);
}
return(result);
}
public static double[,] Run()
{
const int count = 100;
const double timescale = 1.0 / 4;
// First get this working like SolowModel, then move into SOCSolowModel
Stock labor = new SimplePopulationStock("Labor (L)", 10000, .01 * timescale);
TemporalVariable firmLabor = labor / new Constant("Firms", count, Dimensionless.Instance);
CircleGraph firms = new CircleGraph(count, 4);
firmCapital = new NodeStock("Capital (K)", firms.GraphStack, new NodeConstant("initial", firms.GraphStack, NodeRandomInitial, GlobalDimensions.get("k")));
TemporalVariable firmEffectiveLabor = firmLabor * (firms.NodeEdgeCount() + 1);
TemporalVariable firmProduction = new Function("Production (Y)", x => timescale * Math.Pow(count * x[0], x[2]) * Math.Pow(count * x[1], (1 - x[2])),
GlobalDimensions.get("k"), firmCapital, firmEffectiveLabor, new Constant("Preference (alpha)", .3, Dimensionless.Instance));
Constant savingsRate = new Constant("Savings Rate (s)", .1, GlobalDimensions.Time.RaisedTo(-1));
firms.AddAction(new StepNodeAction(.1 * timescale, AddRandomEdge)); // technological advancement
firms.AddAction(new StepNodeAction(GrowOrDie, new PassiveDelay(firmProduction, 1), savingsRate, firmCapital, new Constant("Depreciation Rate (delta)", .1 * timescale, GlobalDimensions.Time.RaisedTo(-1))));
//TemporalVariable capitalPerEffectiveLaborer = firms.Sum(firmCapital) / firms.Sum(firmEffectiveLabor);
TemporalVariable capitalPerLaborer = firms.Sum(firmCapital) / firms.Sum(firmLabor);
TemporalVariable productionPerLaborer = firms.Sum(firmProduction) / firms.Sum(firmLabor);
double[,] result = new double[1000, 4];
for (int tt = 0; tt < 1000; tt++)
{
collapses = 0;
result[tt, 0] = capitalPerLaborer.Evaluate(tt);
result[tt, 1] = (1 - savingsRate.Evaluate(tt)) * productionPerLaborer.Evaluate(tt);
result[tt, 2] = labor.Evaluate(tt);
result[tt, 3] = collapses;
}
return(result);
}
public SimplePopulationStock(string name, double initial, double growth)
: base(name, initial, GlobalDimensions.get("person"))
{
this.level = initial;
this.growth = growth;
}