An assassination market is a prediction market where any party can place a bet (using anonymous electronic money and pseudonymous remailers) on the date of death of a given individual, and collect a payoff if they "guess" the date accurately. This would incentivise assassination of individuals because the assassin, knowing when the action would take place, could profit by making an accurate bet on the time of the subject's death. Because the payoff is for accurately picking the date rather than performing the action of the assassin, it is substantially more difficult to assign criminal liability for the assassination.
Early uses of the terms "assassination market" and "market for assassinations" can be found (in both positive and negative lights) in 1994's "The Cyphernomicon" by Timothy C. May, a cypherpunk. The concept and its potential effects are also referred to as assassination politics, a term popularized by Jim Bell in his 1995-96 essay of the same name.
Early in part 1, Jim Bell describes the idea as:
The organization set up to manage such a system could, presumably, make up a list of people who had seriously violated the NAP (Non-aggression Principle), but who would not see justice in our courts due to the fact that their actions were done at the behest of the government. Associated with each name would be a dollar figure, the total amount of money the organization has received as a contribution, which is the amount they would give for correctly "predicting" the person's death, presumably naming the exact date. "Guessers" would formulate their "guess" into a file, encrypt it with the organization's public key, then transmit it to the organization, possibly using methods as untraceable as putting a floppy disk in an envelope and tossing it into a mailbox, but more likely either a cascade of encrypted anonymous remailers, or possibly public-access Internet locations, such as terminals at a local library, etc.
In order to prevent such a system from becoming simply a random unpaid lottery, in which people can randomly guess a name and date (hoping that lightning would strike, as it occasionally does), it would be necessary to deter such random guessing by requiring the "guessers" to include with their "guess" encrypted and untraceable "digital cash," in an amount sufficiently high to make random guessing impractical.