fauxmatching {rpm}

Faux Data on Heterosexual Matching

Description

This data set represents a simulation of a bipartite matching. The data set is named fauxmatching. Its primary use is to illustrate the fitting of a Revealed Preference Matchings Model (rpm). The model assumes a one-to-one stable matching using an observed set of matchings and a set of (possibly dyadic) covariates to estimate the parameters for linear equations of utilities. This provides such data for a matching between men and women of certain characteristics (or shared characteristics) of people of the opposite sex.

Usage

data(fauxmatching)

Format

fauxmatching is a list containing a pair of data.frame objects: Xdata and Zdata.

Xdata is for women. Each row is a woman, each column is a variable on that women or her partnerships. The women's ID variable s called pid and the variable with the ID of the women's partner is called pair_id. If the women is single the men's ID is NA. Zdata is for men. Each row is a man, each column is a variable on that men The men's ID variable is called pid.

pair_id

The ID of the person's partner. This is in both Xdata and Zdata.

sampled

The indicator that the person was sampled directly (as distinct from being included as the match of a directly sampled person. All single people are directly sampled. This is in both Xdata and Zdata.

Details

The pairings are determined by the pair_id variable in Xdata. If that variable is NA then the women is assumed to be single. If men are listed in Zdata and are not partnered then they are assumed single. Weights are specified by three optional variables in Xdata.

X_w

The weight variable for women. The sum of the weights of the sampled women is the number of women in the population.

Z_w

The weight variable for men. The sum of the weights of the sampled men is the number of men in the population.

pair_w

The weight variable for pairs.

Value

No return value, called for side effects.

Source

The data set is simulation based upon an rpm model fit to data from the 2008 SIPP.

References

Goyal, Shuchi; Handcock, Mark S.; Jackson, Heide M.; Rendall, Michael S. and Yeung, Fiona C. (2023). A Practical Revealed Preference Model for Separating Preferences and Availability Effects in Marriage Formation, Journal of the Royal Statistical Society, A. doi:10.1093/jrsssa/qnad031

Dagsvik, John K. (2000) Aggregation in Matching Markets International Economic Review, Vol. 41, 27-57. JSTOR: https://www.jstor.org/stable/2648822, doi:10.1111/1468-2354.00054

Menzel, Konrad (2015). Large Matching Markets as Two-Sided Demand Systems Econometrica, Vol. 83, No. 3 (May, 2015), 897-941. doi:10.3982/ECTA12299

Examples

library(rpm)
data(fauxmatching)

fit <- rpm(~match("edu") + WtoM_diff("edu",3),
          Xdata=fauxmatching$Xdata, Zdata=fauxmatching$Zdata,
          X_w="X_w", Z_w="Z_w",
          pair_w="pair_w", pair_id="pair_id", Xid="pid", Zid="pid",
          sampled="sampled")
summary(fit)