#' Joint Objective Function Given Period One Info
#'
#' This function returns the (negative) value of joint objective function for a set of given first period varaibles as of period one information set.
#' @param c.h First period husband consumption
#' @param c.w First period wife consumption
#' @param S Saving
#' @param lam Sharing rule for the second period
#' @param i The marriage index
#' @param r First period repetition. It is not necessary to be greater than one for the first period. It is needed for taking expectaions, which is required in the second period
#' @export
obj.lam <- function(c.h, c.w, S, lam, i, r){
library(nloptr)
# Distributing parameters
par <- param()
N <- par$N
reps1 <- par$reps1
reps2 <- par$reps2
seed <- par$seed
theta <- par$theta
mu <- par$mu
beta <- par$beta
ybar <- par$ybar
delta <- par$delta
wt.h <- par$wt.h
wt.w <- par$wt.w
u <- par$u
U <- par$U
u.grad <- par$u.grad
chi <- par$chi
# Cartesian product
index <- expand.grid(1:N, 1:reps1)
index2 <- expand.grid(1:N, 1:reps1, 1:reps2)
res <- - U(c.h, c.w) - beta * E.1.u.m.lam(lam, S, type = "U", i = i, r = r)
return(res)
}
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