Which will be at a loss, so you need just as much money. This is especially hard in developing countries. The market will still be destroyed, and you'll end up with a oligopoly.
> Or, stockpile the goods you sell,
Many things can't be stockpiled, and stockpiling also costs money (see the above)
One example where private dumping is tried, is uber with the taxi business. Uber regularly subsidizes fares (e.g. [1]). Local independent taxi drivers don't have the economic backing of investors and can't fight against dumping.
[1]: http://economictimes.indiatimes.com/news/international/busin...