24 juil 2020 · The Herfindahl#Hirschman Index (HHI) of concentration, calculated as the sum of the squared market shares of firms, is by now a standard
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Package 'hhi"
October 13, 2022
TypePackage
TitleCalculate and Visualize the Herfindahl-Hirschman IndexVersion1.2.0
AuthorPhilip D. Waggoner
MaintainerPhilip D. Waggoner
DescriptionBased on the aggregated shares retained by individual firms or actors within a mar- ket or space, the Herfindahl-Hirschman Index (HHI) measures the level of concentra- tion in a space. This package allows for intuitive and straightforward computa- tion of HHI scores, requiring placement of objects of interest directly into the function. The pack- age also includes a plot function for quick visual display of an HHI time series using any mea- sure of time (year, quarter, month, etc.). For usage, please cite the Journal of Open Source Soft- ware paper associated with the package: Waggoner, Philip D. (2018) < doi:10.21105/joss.00828 LicenseMIT + file LICENSE
Importsggplot2
EncodingUTF-8
LazyDatatrue
RoxygenNote6.0.1
NeedsCompilationno
RepositoryCRAN
Date/Publication2018-08-17 12:10:03 UTC
Rtopics documented:
hhi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 plot_hhi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Index5
12hhihhiCalculates the Herfindahl-Hirschman IndexDescription
Computes the Herfindahl-Hirschman Index of a market/space, which is a measure of concentration, based on the share size of all individual firms/actors Usage hhi(x, "s")Arguments
xName of the data frame sName of the vector (variable) from the data frame, x, corresponding with stored market share valuesDetails
Allows for placing the objects directly from working datasets (including, data frame and the market share variable name in quotes) into the function for intuitive usage. Value hhi A measure of market concentration Note The vector of "share" values should be comprised of integers corresponding to total share of indi-vidual firms/actors (e.g., df$s <- c(35, 40, 5, 10, 6, 4) # 6 firms totaling 100 percent of the market).
The measure is often used as a measure of competition, where 0 is perfect competitiveness and10,000 is a perfect monopoly.
References
Hirschman, Albert O. 1945. "National power and structure of foreign trade." Berkeley, CA: Uni- versity of California Press. Herfindahl, OrrisClemens. 1950. "Concentrationinthesteelindustry."Ph.D.dissertation, ColumbiaUniversity.
Rhoades, Stephen A. 1993. "The herfindahl-hirschman index." Federal Reserve Bulletin 79: 188. Waggoner, PhilipD.2018. "ThehhiPackage: StreamlinedCalculationandVisualizationofHerfindahl- Hirschman Index Scores." Journal of Open Source Software 3(28), 828. plot_hhi3Examples
a <- c(1,2,3,4) # arbitrary firm id b <- c(20,30,40,10) # market share of each firm (should total 100% of market share) x <- data.frame(a,b) # create data framehhi(x, "b") # calculate market concentration based on firms?share sizesplot_hhiPlots a Herfindahl-Hirschman Index Time SeriesDescription
Generates a plot of a vector of Herfindahl-Hirschman Index (HHI) values over a period of time Usage plot_hhi(x, "t", "h")Arguments
xName of the data frame tName of the vector (variable) from the data frame, x, corresponding with a mea- sure of time (year, month, etc.) hName of the vector (variable) from the data frame, x, corresponding with theHHI values
Details
Allows for placing objects directly from working datasets (including, data frame, measure of time, and stored HHI values in quotes) into the function for intuitive usage. Function supports any mea- sure of time. Value hhi.plot A plot of HHI values over time Note The "plot_hhi" function is meant for quick visual rendering of a vector of HHI values over a periodof time leveraging ggplot2. Users are advised to generate original plots with other plotting packages