As mentioned, much depends on the activity: Hiking? Car camping? One day? Multiple days? Time of year and weather? Remote or not-so-remote? Etc.

• "Gore-Tex bivy and silnylon tarp" — Even moderate quality for both might take as much as 1/3 his budget. I'd consider, at first, putting the bivy on hold, and get just the tarp since he has presumably a good bag in the Wiggy (unless expected conditions somehow dictate a bivy).

• "Simple alcohol stove" — If $$$ really become an issue, for now he could make his own soda- or beer-can alcohol stove for next-to-nothing; many do a credible job; Google search will find a number of websites with step-by-step instructions.

• Water — Assume the PSK you gave him includes MicroPur tablets or similar. But what about his main supply? Depends on factors not provided (how long; how far; expected water sources), but needs the means to carry water (e.g. Nalgene bottles or similar) and/or a reasonably good water filter.

• Bandana — Inexpensive; multiple uses.

• Cup of some sort — Snow Peak, or variation of sierra cup etc.

• Boots/socks — Already mentioned.

• Fire Building — Main source, e.g. ferro rod/tinder (assumes PSK contains backup like a mini-BIC).

• Decent signal mirror — Included in the PSK?

• Flashlight — An LED headlamp, which can double as a standard flashlight if budget won't permit both.

• Topo map(s) — Of the areas to be traveled (and the ability to read them).

And as stressed by others, good foundation of knowledge and skills.

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"Things that have never happened before happen all the time." — Scott Sagan, The Limits of Safety