A Microsoft research project dubbed "Project Waterloo," is a game played on Facebook. The game is an example in the "Colonel Blotto" style -- is played by two players.
"Each of the players gets 100 troops and five battle fields to conquer. In order to win, they need to allocate their resources to each area, attempting to anticipate the moves of the opposite player in such a way that they win three of the five battle fields," Microsoft research reveals.
"Once both players have allocated their troops, the winner is determined by finding which of the two players has won more battles. A battle is won by having allocated more troops to it than the opponent."
"The game is complex from a game-theoretic perspective, involves randomized strategies, and can be approached by reasoning about the opponent's reasoning. We have also found it to be fun, engaging, and slightly addictive. It is thus a great test case for studying actual strategic behavior of people on Facebook," said Microsoft.
The game is complex from a game-theoretic perspective, involves randomized strategies, and can be approached by reasoning about the opponent's reasoning.
You can access the game at the official through Facebook page.