ffp_opt_anlyz_rhgin: Theorem 2, Bounded Linear Allocation solution, loop along a...

In FanWangEcon/PrjOptiAlloc: The Optimal Allocation of Resources Among Heterogeneous Individuals

Description

Works with linear allocation problems. The function invokes ffp_opt_solin_relow, has parameters that are also required for that function. The addition here is *fl_rho* becomes *ar_rho*

Usage

ffp_opt_anlyz_rhgin(
  df,
  svr_id_i,
  svr_A_i,
  svr_alpha_i,
  svr_beta_i,
  fl_N_agg,
  ar_rho,
  svr_inpalc = "optiallocate",
  svr_expout = "opti_exp_outcome"
)

Arguments

df	tibble data table including variables using svr names below each row is potentially an individual who will receive alternative allocations
svr_id_i	string name of the identify key for each i, to make sure merging happens properly
svr_A_i	string name of the A_i variable, dot product of covariates and coefficients
svr_alpha_i	string name of the alpha_i variable, individual-specific (marginal-effects)
svr_beta_i	string name of the beta_i variable, relative preference weight for each child
fl_N_agg	float total resource avaible for allocation, if not specific, sum by svr_N_i
ar_rho	array preferences for equality for the planner, each value from negative infinity to 1
svr_inpalc	string variable name for newly generated input optimal allocation
svr_expout	string variable name for newly generated expected outcome

Value

a dataframe that expands the df inputs with additional results.

a list with a dataframe and an array

• df_opti_alloc_all_rho - table with columns for optimal allocation and exp outcome different rhos

• mt_opti_alloc_all_rho - a matrix row = indi, col = rho, value = optimal allocation

• mt_expc_outcm_all_rho - a matrix row = indi, col = rho, value = exp outcome optimal allocations

• mt_gini - a matrix row = rhos, col = opti-allo and exp-out, value = gini

Author(s)

Fan Wang, http://fanwangecon.github.io

References

https://fanwangecon.github.io/PrjOptiAlloc/reference/ffp_opt_anlyz_rhgin.html https://fanwangecon.github.io/PrjOptiAlloc/articles/ffv_opt_anlyz_rhgin.html

Examples

data(df_opt_dtgch_cbem4)
df <- df_opt_dtgch_cbem4
svr_id_i <- 'indi.id'
svr_A_i <- 'A_lin'
svr_alpha_i <- 'alpha_lin'
svr_beta_i <- 'beta'
fl_N_agg <- 10000
ar_rho = c(-50, -10, -0.1, 0.1, 0.5, 0.7)
ls_lin_solu_all_rhos <- ffp_opt_anlyz_rhgin(df, svr_id_i, svr_A_i, svr_alpha_i, svr_beta_i, fl_N_agg, ar_rho)
df_opti_alloc_all_rho <- ls_lin_solu_all_rhos$df_opti_alloc_all_rho
summary(df_opti_alloc_all_rho)
mt_opti_alloc_all_rho <- ls_lin_solu_all_rhos$mt_opti_alloc_all_rho
summary(mt_opti_alloc_all_rho)
mt_expc_outcm_all_rho <- ls_lin_solu_all_rhos$mt_expc_outcm_all_rho
summary(mt_expc_outcm_all_rho)
mt_gini <- ls_lin_solu_all_rhos$mt_gini
summary(mt_gini)

FanWangEcon/PrjOptiAlloc documentation built on Jan. 25, 2022, 6:55 a.m.