Italian cameo bracelet representing the days of the week, corresponding to the planets as Roman gods: Diana as the Moon for Monday, Mars for Tuesday, Mercury for Wednesday, Jupiter for Thursday, Venus for Friday, Saturn for Saturday, and Apollo as the Sun for Sunday. Middle 19th century, Walters Art Museum.
Glossary of game theory terms. Constant Sum. In a constant sum game, the sum of all players' payoffs is the same for any outcome. Hence, a gain for one participant is always at the expense of another, such as in most sporting events. Given the conflicting interests, the equilibrium of such games is often in mixed strategies.
For every ï¬nite two-person zero-sum game,(1) there is a numberV, called the value of the game,(2) there is a mixed strategy for Player I such that Iâs average gain is at least V nomatter what II does, and(3) there is a mixed strategy for Player II such that IIâs average loss is at mostV nomatter what I does.