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  2. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall.

  3. Strategies and skills of Jeopardy! champions - Wikipedia

    en.wikipedia.org/wiki/Strategies_and_skills_of...

    Speed is essential, as getting the opportunity to answer more clues first and right allows a player to pick more clues, thus increasing their chances of finding the Daily Doubles. [8] Winning contestants have a "just go for it" mentality and often push the buzzer before they know if they can answer correctly, trusting that they probably can.

  4. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    Muddy children puzzle can also be solved using backward induction from game theory. [13] Muddy children puzzle can be represented as an extensive form game of imperfect information. Every player has two actions — stay back and step forwards. There is a move by nature at the start of the game, which determines the children with and without ...

  5. Guess 2/3 of the average - Wikipedia

    en.wikipedia.org/wiki/Guess_2/3_of_the_average

    In game theory, "guess ⁠ 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to ⁠ 2 / 3 of the average of numbers chosen by all players.

  6. Game form - Wikipedia

    en.wikipedia.org/wiki/Game_form

    In game theory and related fields, a game form, game frame, ruleset, or outcome function is the set of rules that govern a game and determine its outcome based on each player's choices. A game form differs from a game in that it does not stipulate the utilities or payoffs for each agent. [1] Mathematically, a game form can be defined as a ...

  7. Game theory - Wikipedia

    en.wikipedia.org/wiki/Game_theory

    Separately, game theory has played a role in online algorithms; in particular, the k-server problem, which has in the past been referred to as games with moving costs and request-answer games. [125] Yao's principle is a game-theoretic technique for proving lower bounds on the computational complexity of randomized algorithms , especially online ...

  8. First-player and second-player win - Wikipedia

    en.wikipedia.org/wiki/First-player_and_second...

    With perfect play, if neither side can force a win, the game is a draw. Some games with relatively small game trees have been proven to be first or second-player wins. For example, the game of nim with the classic 3–4–5 starting position is a first-player-win game. However, Nim with the 1-3-5-7 starting position is a second-player-win.

  9. List of games in game theory - Wikipedia

    en.wikipedia.org/wiki/List_of_games_in_game_theory

    Sequential game: A game is sequential if one player performs their actions after another player; otherwise, the game is a simultaneous move game. Perfect information : A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them.