If your first Priceline hotel bid was not accepted, don't panic. You have options for your next move.
You cannot immediately rebid on Priceline hotels for the same request. Nor can you rebid by merely placing a higher bid within 24 hours.
However, changing any of the options (such as star category or neighborhood), lets you rebid right away. Provided you change a particular of the itinerary, you can also submit a higher bid, depending on how much you want to travel.
If you add a new neighborhood this time, your bid counts for both your previous neighborhood AND the one you wish to add. You may end up getting your first choice.
You can keep adding neighborhoods and star categories and changing dates until you run out of options. Rebidding in this way increases your chances to save.