A wash trade (not to be confused with a wash sale) is a form of market manipulation in which an investor simultaneously sells and buys the same financial instruments. This may be done for a number of reasons:
To artificially increase trading volume, giving the impression that the instrument is more in demand than it actually is.
To generate commission fees to brokers in order to compensate them for something that cannot be openly paid for. This was done by some of the participants in the Libor scandal.
Some exchanges now have protections built in, sometimes mandatory for participants, such as STPF (self-trade prevention functionality) on The ICE.