gem_3_4 {GE}

Some Simple 3-by-4 General Equilibrium Models

Description

Some simple 3-by-4 general equilibrium models with two firms and two consumers.

Usage

gem_3_4(...)

Arguments

...

arguments to be passed to the function sdm2.

Examples

####
ge <- sdm2(
  A = function(state) {
    a.firm.corn <- CD_A(alpha = 1, Beta = c(0, 0.5, 0.5), state$p)
    a.firm.iron <- CD_A(alpha = 2, Beta = c(0, 0.5, 0.5), state$p)
    a.consumer1 <- c(1, 0, 0)
    a.consumer2 <- CD_A(alpha = 1, Beta = c(0.5, 0.5, 0), state$p)

    cbind(a.firm.corn, a.firm.iron, a.consumer1, a.consumer2)
  },
  B = diag(c(1, 1, 0), 3, 4),
  S0Exg = {
    tmp <- matrix(NA, 3, 4)
    tmp[3, 3:4] <- 100
    tmp
  },
  names.commodity = c("corn", "iron", "lab"),
  names.agent = c("firm.corn", "firm.iron", "consumer1", "consumer2"),
  numeraire = "lab"
)

ge$p
ge$z
ge$D
ge$S

####
ge <- sdm2(
  A = function(state) {
    a.firm.corn <-
      SCES_A(
        es = 1,
        alpha = 1,
        Beta = c(0, 0.5, 0.5),
        p = state$p
      )
    a.firm.iron <-
      SCES_A(
        es = 1,
        alpha = 2,
        Beta = c(0, 0.5, 0.5),
        p = state$p
      )
    a.consumer1 <- c(1, 0, 0)
    a.consumer2 <- CD_A(alpha = 1, Beta = c(0.5, 0.5, 0), state$p)

    cbind(a.firm.corn, a.firm.iron, a.consumer1, a.consumer2)
  },
  B = diag(c(1, 1, 0), 3, 4),
  S0Exg = {
    tmp <- matrix(NA, 3, 4)
    tmp[3, 3:4] <- 100
    tmp
  },
  names.commodity = c("corn", "iron", "lab"),
  names.agent = c("firm.corn", "firm.iron", "consumer1", "consumer2"),
  numeraire = "lab"
)

ge$p
ge$z
ge$D
ge$S

#### an example at
## https://web.stanford.edu/~jdlevin/Econ%20202/General%20Equilibrium.pdf
ge <- sdm2(
  A = function(state) {
    a.firm.1 <- c(0, 1, 0)
    a.firm.2 <- c(0, 0, 1)
    a.consumer1 <- CD_A(alpha = 1, Beta = c(1 / 3, 1 / 3, 1 / 3), state$p)
    a.consumer2 <- CD_A(alpha = 1, Beta = c(1 / 3, 1 / 3, 1 / 3), state$p)

    cbind(a.firm.1, a.firm.2, a.consumer1, a.consumer2)
  },
  B = matrix(c(
    2, 0, 0, 0,
    0, 1, 0, 0,
    0.5, 0, 0, 0
  ), 3, 4, TRUE),
  S0Exg = matrix(c(
    NA, NA, 1, 2,
    NA, NA, 2, 2,
    NA, NA, 3, 2
  ), 3, 4, TRUE),
  names.agent = c("firm1", "firm2", "consumer1", "consumer2"),
  numeraire = 3
)

ge$p
ge$z
ge$D
ge$S