gemFirmAsConsumer: Some Examples of Treating Firms as Consumer-Type Agents

In GE: General Equilibrium Modeling

Some Examples of Treating Firms as Consumer-Type Agents

Description

Some examples of equilibrium models wherein firms are treated as consumer-type agents instead of producer-type agents.

Usage

gemFirmAsConsumer(...)

Arguments

...	arguments to be passed to the function sdm2.

See Also

gemIntertemporal_2_2

Examples

#### an intertemporal model with firm
## (see gemIntertemporal_2_2)
np <- 3 # the number of economic periods

S0Exg <- matrix(c(
  0, 0, 150,
  1000, 0, 0,
  0, 1000, 0,
  0, 0, 100,
  0, 0, 100
), 5, 3, TRUE)

B <- matrix(0, 5, 3, TRUE)

dst.firm1 <- node_new("util",
  type = "StickyLinear",
  beta = c(1, 1),
  "prod2", "cc1"
)
node_set(dst.firm1, "cc1",
  type = "CD",
  alpha = 2, beta = c(0.5, 0.5),
  "prod1", "lab1"
)

dst.firm2 <- node_new("util",
  type = "StickyLinear",
  beta = c(1, 1),
  "prod3", "cc1"
)
node_set(dst.firm2, "cc1",
  type = "CD",
  alpha = 2, beta = c(0.5, 0.5),
  "prod2", "lab2"
)

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

ge <- sdm2(
  A = list(dst.firm1, dst.firm2, dst.consumer),
  B = B,
  S0Exg = S0Exg,
  names.commodity = c(paste0("prod", 1:np), paste0("lab", 1:(np - 1))),
  names.agent = c(paste0("firm", 1:(np - 1)), "consumer"),
  numeraire = "prod1",
  ts = TRUE
)

#### an intertemporal model with bank
igr <- 1.1
beta.bank <- c(1, 1 / igr, 1 / igr^2)

dst.bank <- node_new(
  "output",
  type = "StickyLinear",
  beta = beta.bank,
  "payoff1", "payoff2", "payoff3"
)

dst.consumer <- node_new(
  "util",
  type = "CD", alpha = 1, beta = c(1 / 2, 1 / 6, 1 / 3),
  "payoff1", "payoff2", "payoff3"
)

ge <- sdm2(
  A = list(dst.bank, dst.consumer),
  B = matrix(0, 3, 2, TRUE),
  S0Exg = matrix(c(
    100, 0,
    100, 2,
    100, 1
  ), 3, 2, TRUE),
  names.commodity = c("payoff1", "payoff2", "payoff3"),
  names.agent = c("bank", "consumer"),
  numeraire = "payoff1"
)

#### an instantaneous sequential model
dst.firm <- node_new("output",
  type = "StickyLinear",
  beta = c(1, 1),
  "prod", "cc1"
)
node_set(dst.firm, "cc1",
  type = "CD",
  alpha = 2, beta = c(0.5, 0.5),
  "cap", "lab"
)

dst.consumer <- node_new("util",
  type = "Leontief",
  a = 1,
  "prod"
)

ge <- sdm2(
  A = list(dst.firm, dst.consumer),
  B = matrix(0, 3, 2, TRUE),
  S0Exg = matrix(c(
    1000, 0,
    0, 50,
    0, 100
  ), 3, 2, TRUE),
  names.commodity = c("prod", "cap", "lab"),
  names.agent = c("firm", "consumer"),
  numeraire = "prod"
)
ge$p
ge$z
ge$D

## the corresponding model treating a firm as a producer-type agent
ge <- sdm2(
  A = function(state) {
    a1 <- CD_A(alpha = 2, Beta = c(0, 0.5, 0.5), p = state$p)
    a2 <- c(1, 0, 0)
    cbind(a1, a2)
  },
  B = diag(c(1, 0), 3, 2),
  S0Exg = matrix(c(
    NA, NA,
    NA, 50,
    NA, 100
  ), 3, 2, TRUE),
  names.commodity = c("prod", "cap", "lab"),
  names.agent = c("firm", "consumer"),
  numeraire = "prod"
)
ge$p
ge$z
ge$D

GE documentation built on Nov. 8, 2023, 9:07 a.m.