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In this example game, both players know the payoff matrix and attempt to maximize the number of their points. Red could reason as follows: "With action 2, I could lose up to 20 points and can win only 20, and with action 1 I can lose only 10 but can win up to 30, so action 1 looks a lot better." With similar reasoning, Blue would choose action C.
A session is a sequence of consecutive wagers made until 1 unit of profit is won. [2] Each session begins by betting 1 unit, and ends by winning 1 unit of profit. If the gambler loses, the session continues and the bet is repeated. Each time the gambler wins the game following a lost game, the bet is increased by 1 unit.
A possible alternative is a single-elimination format where each match is a best-of-5-or-more series. This format still allows a competitor to lose (perhaps multiple times) while still remaining eligible to win the tournament. Of course, having multiple games in each series also requires considerably more games to be conducted.
Essentially, this treats each unplayed game as being a tie (i.e. 1 ⁄ 2 win and a 1 ⁄ 2 loss). In an extreme example, attempting to compare the records of the 2007 New England Patriots (16–0; 1.000 winning percentage) [ 1 ] and the 1972 Detroit Tigers (86–70; .551 winning percentage) [ 2 ] finds that the teams are equivalent on a games ...
[2] Forfeited games also could be identified with what is known as a "technical score" like +/-, +:-, where a plus sign (+) signifies a win and a minus sign (-) stands for a loss. Traditionally, technical score is implied as 3:0 score, but earlier in history it also used to be understood as 2:0 score.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.
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Most best-of-seven series follow a "2–3–2" format or a "2–2–1–1–1" format; that is, in a 2–3–2 series, the first two games are played at the home venue of a team with the home-field advantage (the first "2"), the next three games (the "3", including game 5, if necessary) are played at the home of the team without it, and the ...