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#' @export
#' @title Some Simple Pure Exchange Equilibrium Models
#' @aliases gemPureExchange
#' @description Some simple pure exchange general equilibrium models.
#' @param ... arguments to be passed to the function sdm2.
#' @examples
#' \donttest{
#' dst.consumer1 <- dst.consumer2 <- node_new("util",
#' type = "CD", alpha = 1, beta = c(0.5, 0.25, 0.25),
#' "payoff1", "payoff2", "payoff3"
#' )
#'
#' ge <- sdm2(
#' A = list(dst.consumer1, dst.consumer2),
#' B = matrix(0, 3, 2),
#' S0Exg = matrix(c(
#' 1, 1,
#' 0, 2,
#' 2, 2
#' ), 3, 2, TRUE),
#' names.commodity = c("payoff1", "payoff2", "payoff3"),
#' names.agent = c("consumer1", "consumer2"),
#' numeraire = "payoff1"
#' )
#'
#' ge$p
#' ge$D
#'
#' ##
#' dst.consumer2 <- node_new("util",
#' type = "CD", alpha = 1, beta = c(0.5, 0.1, 0.4),
#' "payoff1", "payoff2", "payoff3"
#' )
#'
#' ge <- sdm2(
#' A = list(dst.consumer1, dst.consumer2),
#' B = matrix(0, 3, 2),
#' S0Exg = matrix(c(
#' 1, 1,
#' 0, 2,
#' 2, 2
#' ), 3, 2, TRUE),
#' names.commodity = c("payoff1", "payoff2", "payoff3"),
#' names.agent = c("consumer1", "consumer2"),
#' numeraire = "payoff1"
#' )
#'
#' ge$p
#' ge$D
#'
#' ####
#' dst.consumer1 <- node_new("util",
#' type = "CD", alpha = 1,
#' beta = c(0.5, 0.5),
#' "cc1", "cc2"
#' )
#' node_set(dst.consumer1, "cc2",
#' type = "CD", alpha = 1,
#' beta = c(0.2, 0.8),
#' "cc2.1", "cc2.2"
#' )
#' node_set(dst.consumer1, "cc1",
#' type = "Leontief",
#' a = c(0.5, 0.5),
#' "corn1", "iron1"
#' )
#'
#' node_set(dst.consumer1, "cc2.1",
#' type = "Leontief", a = c(0.5, 0.5),
#' "corn2.1", "iron2.1"
#' )
#' node_set(dst.consumer1, "cc2.2",
#' type = "Leontief", a = c(0.5, 0.5),
#' "corn2.2", "iron2.2"
#' )
#'
#' dst.consumer2 <- node_new("util",
#' type = "CD", alpha = 1,
#' beta = prop.table(c(
#' 0.5 * c(1, 1),
#' 0.5 * 0.2 * c(1, 1), 0.5 * 0.8 * c(1, 1)
#' )),
#' "corn1", "iron1", "corn2.1",
#' "iron2.1", "corn2.2", "iron2.2"
#' )
#'
#' node_plot(dst.consumer1, TRUE)
#'
#' ge <- sdm2(
#' A = list(dst.consumer1, dst.consumer2),
#' B = matrix(0, 6, 2),
#' S0Exg = matrix(c(
#' 2, 2,
#' 2, 2,
#' 3, 2,
#' 1, 2,
#' 1, 2,
#' 3, 2
#' ), 6, 2, TRUE),
#' names.commodity = c(
#' "corn1", "iron1", "corn2.1",
#' "iron2.1", "corn2.2", "iron2.2"
#' ),
#' names.agent = c("consumer1", "consumer2"),
#' numeraire = "corn1"
#' )
#'
#' ge$D
#' ge$DV
#' }
gemPureExchange <- function(...) sdm2(...)
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