gemIntertemporal_TimeCircle_3_3 {GE}

A Time Circle Model with One Consumer and Two Types of Firms

Description

An (intertemporal) time circle model with one consumer and two types of firms.

Usage

gemIntertemporal_TimeCircle_3_3(...)

Arguments

...

arguments to be passed to the function sdm2.

Examples

#### an example with a Cobb-Douglas intertemporal utility function
np <- 5 # the number of economic periods, firms.
zeta <- 1.25 # the ratio of repayments to loans

n <- 3 * np # the number of commodity kinds
m <- 2 * np + 1 # the number of agent kinds

names.commodity <- c(
  paste0("corn", 1:np),
  paste0("iron", 1:np),
  paste0("lab", 1:np)
)
names.agent <- c(
  paste0("firm.corn", 1:np),
  paste0("firm.iron", 1:np),
  "consumer"
)

# the exogenous supply matrix.
S0Exg <- matrix(NA, n, m, dimnames = list(names.commodity, names.agent))
S0Exg[paste0("lab", 1:np), "consumer"] <- 100 # the supply of labor

# the output coefficient matrix.
B <- matrix(0, n, m, dimnames = list(names.commodity, names.agent))
for (k in 1:(np - 1)) {
  B[paste0("corn", k + 1), paste0("firm.corn", k)] <- 1
  B[paste0("iron", k + 1), paste0("firm.iron", k)] <- 1
}
B["corn1", paste0("firm.corn", np)] <- 1 / zeta
B["iron1", paste0("firm.iron", np)] <- 1 / zeta

dstl.firm.corn <- dstl.firm.iron <- list()
for (k in 1:np) {
  dstl.firm.corn[[k]] <- node_new(
    "prod",
    type = "CD",
    alpha = 1, beta = c(0.5, 0.5),
    paste0("iron", k), paste0("lab", k)
  )

  dstl.firm.iron[[k]] <- node_new(
    "prod",
    type = "CD",
    alpha = 2, beta = c(0.5, 0.5),
    paste0("iron", k), paste0("lab", k)
  )
}

dst.consumer <- node_new(
  "util",
  type = "CD", alpha = 1,
  beta = prop.table(rep(1, np)),
  paste0("corn", 1:np)
)

ge <- sdm2(
  A = c(dstl.firm.corn, dstl.firm.iron, dst.consumer),
  B = B,
  S0Exg = S0Exg,
  names.commodity = names.commodity,
  names.agent = names.agent,
  numeraire = "lab1",
  ts = TRUE
)

ge$p
ge$z
ge$D
ge$S
ge$DV
ge$SV