How do I override nested NPM dependency versions?

I would like to use the grunt-contrib-jasmine NPM package. It has various dependencies. Part of the dependency graph looks like this:

─┬ grunt-contrib-jasmine@0.4.1
 │ ├─┬ grunt-lib-phantomjs@0.2.0
 │ │ ├─┬ phantomjs@1.8.2-2

Unfortunately, there’s a bug in this version phantomjs which prevents it from installing correctly on Mac OS X. This is fixed in the latest version.

How can I get grunt-lib-phantomjs to use a newer version of phantomjs?

Some additional context:

• grunt-contrib-jasmine explicitly requires version "~0.2.0" of grunt-lib-phantomjs, which explicitly requires version "~1.8.1" of phantomjs.
• Adding phantomjs to my package’s dependencies first has no effect; both versions are installed and grunt-contrib-jasmine still uses the older versions (see: When installing a package with NPM, can you tell it to use a different version of one of its dependencies?).

As of NPM v8.3, the correct way to deal with this is via the overrides section of your package.json file.

If you need to make specific changes to dependencies of your
dependencies, for example replacing the version of a dependency with a
known security issue, replacing an existing dependency with a fork, or
making sure that the same version of a package is used everywhere,
then you may add an override.

Overrides provide a way to replace a package in your dependency tree
with another version, or another package entirely. These changes can
be scoped as specific or as vague as desired.

To make sure the package foo is always installed as version 1.0.0 no
matter what version your dependencies rely on:

{
  "overrides": {
    "foo": "1.0.0"
  }
}

There are a variety of other, more nuanced configurations allowing you to only override a package when it’s a dependency of a particular package hierarchy. For more details, check out https://docs.npmjs.com/cli/v8/configuring-npm/package-json#overrides