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  2. Guess 2/3 of the average - Wikipedia

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

    A Level-k model usually assumes that k-level 0 agents would approach the game naively and make choices distributed uniformly over the range [0, 100]. In accordance with cognitive hierarchy theory, level 1 players select the best responses to level 0 choices, while level 2 players select the best responses to level 1 choices. [8]

  3. Game theory - Wikipedia

    en.wikipedia.org/wiki/Game_theory

    Game theory is the study of mathematical models of strategic ... Cooperative game theory provides a high-level approach as it describes only the structure and payoffs ...

  4. Focal point (game theory) - Wikipedia

    en.wikipedia.org/wiki/Focal_point_(game_theory)

    The Guess 2/3 of the average game shows the level-n theory in practice. In this game, players are tasked with guessing an integer from 0 to 100 inclusive which they believe is closest to 2/3 of the average of all players’ guesses. A Nash equilibrium can be found by thinking through each level: Level 0: The average can be in [0, 100]

  5. Cognitive hierarchy theory - Wikipedia

    en.wikipedia.org/wiki/Cognitive_Hierarchy_Theory

    Cognitive hierarchy theory (CHT) is a behavioral model originating in behavioral economics and game theory that attempts to describe human thought processes in strategic games. CHT aims to improve upon the accuracy of predictions made by standard analytic methods (including backwards induction and iterated elimination of dominated strategies ...

  6. Two-level game theory - Wikipedia

    en.wikipedia.org/wiki/Two-level_game_theory

    Two-level game theory is a political model, derived from game theory, that illustrates the domestic-international interactions between states. It was originally introduced in 1988 by Robert D. Putnam in his publication "Diplomacy and Domestic Politics: The Logic of Two-Level Games". [1]

  7. List of games in game theory - Wikipedia

    en.wikipedia.org/wiki/List_of_games_in_game_theory

    Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.

  8. Airport problem - Wikipedia

    en.wikipedia.org/wiki/Airport_problem

    In mathematics and especially game theory, the airport problem is a type of fair division problem in which it is decided how to distribute the cost of an airport runway among different players who need runways of different lengths. The problem was introduced by S. C. Littlechild and G. Owen in 1973. [1] Their proposed solution is:

  9. Game complexity - Wikipedia

    en.wikipedia.org/wiki/Game_complexity

    The game-tree complexity of a game is the number of leaf nodes in the smallest full-width decision tree that establishes the value of the initial position. [1] A full-width tree includes all nodes at each depth. This is an estimate of the number of positions one would have to evaluate in a minimax search to determine the value of the initial ...