Perform a keyword search in your preferred search engine for an airline ticketing company that gives customers the option to name their own airfare price. Inserting "name your own airfare price" as a keyword search will give you several results.
Select a website and navigate to its "name your own price" feature.
Choose your departure and arrival airports. Some sites may provide you with a specific list, while others will allow you to input your choices.
Enter the highest dollar amount that you are willing to pay for a round-trip ticket.
Submit your offer, and wait to see if it is approved.
Purchase your ticket to view your flight times.