Corresponding with a political candidate who just lost an election for office can be daunting. Depending on the reason for the correspondence, it may be best to wait a few days after the election before drafting your letter. However, once you do write it, be mindful of his potential state of mind and keep your letter short, simple and pointed.
Address him by his title, placing "former" in front of it, as necessary. For example, if you are writing to a senator who lost a bid for re-election, you can still say "Senator John Doe," but you would not include extras in the title, such as "Honorable" or "Mr. Senator."
Offer your condolences on the candidate's loss. Don't dwell on the fact that he didn't win; make the statement that you are sorry to hear of his loss in the run for office and then move on.
Get right to the point of your letter. Explain the reason for the correspondence, be it to offer words of encouragement following the loss or to provide an offer for another position should they abandon their quest for political office.
Provide information on what you are asking. Following your statement of purpose, give details. Since the candidate is taking the time to read the letter, give specifics to give him a clear idea of the reason for your letter. Then, encourage him to contact you for further information.
State the benefits of your request. For example, if you are offering the candidate a job, provide a well-rounded package of benefits so he is clear about what you are offering. If you simply want to gain his support for your cause, despite his loss for office, then state why he benefits from doing so.
Close your letter by congratulating him for a race well run and include your phone number and e-mail address, and ask him to contact you for more information.