Two bookmakers compete in Bertrand fashion while setting odds on the outcomes of a sporting contest where an influential punter (or betting syndicate) may bribe some player(s) to fix the contest. Zero profit and bribe prevention may not always hold together. When the influential punter is quite...

An adversarial model of criminal trial is considered with three verdict choices--innocent, guilty of moderate crime, and guilty of serious crime. Depending on the parties' access to evidence and initial beliefs in the courtroom about the possible crimes, the judge may agree to the defendant's...