ffp_opt_solin_relow: Theorem 1, Binary Optimal Allocation solution, for one...

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

Description

This is the solution to the linear optimal allocation problem. Relative allocations, summed splined, inversion. solin, solution linear. relow, relative to the lowest allocation algoritm.

Usage

ffp_opt_solin_relow(
  df,
  svr_A_i,
  svr_alpha_i,
  svr_beta_i,
  fl_N_agg,
  fl_rho,
  svr_inpalc = "optiallocate",
  svr_expout = "optiexpoutcm"
)

Arguments

df	tibble data table including variables using svr names below each row is potentially an individual who will receive alternative allocations
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
fl_rho	float preference for equality for the planner
svr_inpalc	string variable name for newly generated input optimal allocation, single word no dash
svr_expout	string variable name for newly generated expected outcome, single word no dash

Value

a dataframe that expands the df inputs with additional results.

a list with a dataframe and an array

• df_opti - Dataframe with various statistcs related to optimal allocation, all intermediary stats

• ar_opti_inpalc - Array where each element is an optimal choice for each individual

• ar_opti_expout - Array where each element is the expected outcome given optimal choices for each i

Author(s)

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

References

https://fanwangecon.github.io/PrjOptiAlloc/reference/ffp_opt_solin_relow.html https://fanwangecon.github.io/PrjOptiAlloc/articles/ffv_opt_solin_relow.html

Examples

data(df_opt_dtgch_cbem4)
df <- df_opt_dtgch_cbem4
svr_A_i <- 'A_lin'
svr_alpha_i <- 'alpha_lin'
svr_beta_i <- 'beta'
fl_N_agg <- 10000
fl_rho <- -30
ls_lin_solu <- ffp_opt_solin_relow(df, svr_A_i, svr_alpha_i, svr_beta_i, fl_N_agg, fl_rho)
df_opti <- ls_lin_solu$df_opti
ar_opti_inpalc <- ls_lin_solu$ar_opti_inpalc
ar_opti_expout <- ls_lin_solu$ar_opti_expout
summary(df_opti)
print(ar_opti_inpalc)
print(ar_opti_expout)

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