R: Test for quasiconcavity / quasiconvexity

quasiconcavity {miscTools} | R Documentation

## Test for quasiconcavity / quasiconvexity

### Description

Test wether a function is quasiconcave or quasiconvex. The bordered Hessian of this function is checked by `quasiconcavity`() or `quasiconvexity`().

### Usage

       quasiconcavity( m, tol = .Machine$double.eps )
       quasiconvexity( m, tol = .Machine$double.eps )

### Arguments

`m` | a bordered Hessian matrix or a list containing bordered Hessian matrices
`tol` | tolerance level (values between `-tol` and `tol` are considered to be zero).

### Value

locigal or a logical vector (if `m` is a list).

### Author(s)

Arne Henningsen

### References

Chiang, A.C. (1984) Fundamental Methods of Mathematical Economics, 3rd ed., McGraw-Hill.

### Examples

       quasiconcavity( matrix( 0, 3, 3 ) )

       quasiconvexity( matrix( 0, 3, 3 ) )

       m <- list()
       m[[1]] <- matrix( c( 0,-1,-1, -1,-2,3, -1,3,5 ), 3, 3 )
       m[[2]] <- matrix( c( 0,1,-1, 1,-2,3, -1,3,5 ), 3, 3 )

       quasiconcavity( m )

       quasiconvexity( m )

[Package miscTools version 0.6-22 Index]