Other Useful ‘Bertrand’ Methods
Description
Methods defined for the ‘Bertrand’ class and its child classes.
Usage
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28  ## S4 method for signature 'ANY'
calcShares(object,preMerger=TRUE,revenue=FALSE)
## S4 method for signature 'ANY'
calcQuantities(object,preMerger=TRUE)
## S4 method for signature 'ANY'
calcPrices(object,preMerger=TRUE,subset,...)
## S4 method for signature 'Antitrust'
calcPriceDelta(object)
## S4 method for signature 'AIDS'
calcPriceDelta(object,isMax=FALSE,subset,...)
## S4 method for signature 'Bertrand'
calcProducerSurplus(object,preMerger=TRUE)
## S4 method for signature 'ANY'
calcMargins(object,preMerger=TRUE)
## S4 method for signature 'Bertrand'
calcMC(object,preMerger=TRUE)
## S4 method for signature 'ANY'
calcSlopes(object,preMerger=TRUE)
## S4 method for signature 'Bertrand'
hhi(object,preMerger=TRUE,revenue=FALSE)
## S4 method for signature 'Antitrust'
ownerToMatrix(object,preMerger=TRUE)
## S4 method for signature 'Antitrust'
ownerToVec(object,preMerger=TRUE)
## S4 method for signature 'Bertrand'
plot(x,scale=.1)
## S4 method for signature 'Bertrand'
summary(object,revenue=TRUE,shares=TRUE,parameters=FALSE,digits=2,...)

Arguments

Let k denote the number of products 
object 
An instance of one of the classes listed above. 
x 
Used only in plot method. Should always be set equal to object 
preMerger 
If TRUE, returns premerger outcome. If FALSE, returns postmerger outcome. Default is TRUE. 
isMax 
If TRUE, uses numerical derivatives to determine if equilibrium price vector is a local maximum. Default is FALSE. 
revenue 
If TRUE, returns revenues. If FALSE, returns quantities. Default is TRUE 
subset 
A vector of length k where each element equals TRUE if the product indexed by that element should be included in the postmerger simulation and FALSE if it should be excluded.Default is a length k vector of TRUE. 
shares 
If TRUE, returns shares. If FALSE, returns levels. Default is TRUE 
parameters 
If TRUE, reports demand and cost parameters. Default is FALSE 
digits 
The number of significant digits to round printed results. Default is 2 
scale 
The proportion below marginal cost and above equilbrium price that should be plotted. Default is .1 
... 
Arguments to be passed to nonlinear solver, OR for

Methods
 calcShares
signature(object= c(Linear,AIDS,Logit,LogitNests,CES,CESNests), preMerger=TRUE, revenue=FALSE)
Computes equilibrium product shares assuming that firms are playing a NashBertrand pricing game. ‘revenue’ takes on a value of TRUE or FALSE, where TRUE calculates revenue shares, while FALSE calculates quantity shares.
 calcQuantities
signature(object=c(Linear,LogLin,LogitCap),preMerger=TRUE)
Computes equilibrium product quantities assuming that firms are playing a NashBertrand pricing game.
 calcPrices
signature(object=c(Linear,LogLin,AIDS,Logit,LogitNests,LogitCap,CES,CESNests),preMerger=TRUE,subset,...)
Computes equilibrium product price levels assuming that firms are playing a
NashBertrand pricing game. ‘...’ may be used to feed additional
options to the optimizer responsible for computing equilibrium
prices. Typically, BBsolve
is used, but see
the appropriate document for further details.
 calcPriceDelta
signature(object=Antitrust)
Computes equilibrium price changes due to a merger assuming that firms are playing a NashBertrand pricing game. This is a wrapper method for computing the difference between pre and postmerger equilbrium prices
 calcPriceDelta
signature(object=AIDS,isMax=FALSE,subset,...)
Computes equilibrium price changes due to a merger assuming that firms are playing a NashBertrand pricing game and LAAIDS. This method calls a nonlinear equations solver to find a sequence of price changes that satisfy the Bertrand FOCs.
 calcProducerSurplus
signature(object=Bertrand,preMerger=TRUE)
Computes equilibrium producer surplus.
 calcMargins
signature(object=c(Bertrand,LogitCap),preMerger=TRUE)
Computes equilibrium product margins assuming that firms are playing a NashBertrand pricing game. For "LogitCap", assumes firms are playing a NashBertrand pricing game with capacity constraints.
 calcMC
signature(object=Bertrand,preMerger=TRUE)
Computes either pre or postmerger marginal costs. Marginal costs are assumed to be constant. Postmerger marginal costs are equal to premerger marginal costs multiplied by 1+‘mcDelta’, a lengthk vector of marginal cost changes. ‘mcDelta’ will typically be between 0 and 1.
 calcSlopes
signature(object=c(Linear,LogLin,AIDS,PCAIDSNests,Logit,LogitNests,LogitCap,CES,CESNests),preMerger=TRUE)
Computes demand parameters assuming that firms are playing a NashBertrand pricing game.
 hhi
signature(object=Bertrand,preMerger=TRUE,revenue=FALSE)
Computes the HerfindahlHirschman Index (HHI) using simulated market shares and either pre or postmerger ownership information.
 ownerToMatrix
signature(object=Antitrust,preMerger=TRUE)
converts a lengthk ownership vector into a k x k ownership matrix where element i,j equals 1 if products i and j are commonly owned, and 0 otherwise.
 ownerToVec
signature(object=Antitrust,preMerger=TRUE)
converts a k x k ownership matrix into a lengthk ownership vector
 plot
signature(x,scale=.1)
Use ggplot
to plot pre and postmerger demand, marginal cost and equilibria. ‘scale’ controls the amount above marginal cost and below equilbrium price that is plotted.
 show
signature(object=Antitrust)
Displays the percentage change in prices due to the merger.
 summary
signature(object=c(Bertrand,AIDS),revenue=TRUE,shares=TRUE,parameters=FALSE,digits=2,...)
Summarizes the effect of the merger, including price and revenue
changes. Setting ‘revenue’ equal to FALSE reports quantities rather
than revenues. Setting ‘shares’ to FALSE reports quantities
rather than than shares (when possible). Setting ‘parameters’ equal to TRUE reports
all demand parameters. ‘digits’ controls the number of significant
digits reported in output. ‘...’ allows other arguments to be passed
to a CV
method.
 upp
signature(object)
Calculate the Upwards Pricing Pressure (upp) index.