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- A game is a structured form of play, usually undertaken for entertainment or fun, and sometimes used as an educational tool. Games are different from work, which is usually carried out for remuneration, and from art, which is more often an expression of aesthetic or ideological elements.
medium.com/understanding-games/what-is-a-game-cb3340056862What is a Game?. Understanding Games: How Video ... - Medium
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In game theory, normal form is a description of a game. Unlike extensive form, normal-form representations are not graphical per se, but rather represent the game by way of a matrix.
Oct 24, 2024 · game theory, branch of applied mathematics that provides tools for analyzing situations in which parties, called players, make decisions that are interdependent. This interdependence causes each player to consider the other player’s possible decisions, or strategies, in formulating strategy.
The normal (or strategic form) game is usually represented by a matrix which shows the players, strategies, and payoffs (see the example to the right). More generally it can be represented by any function that associates a payoff for each player with every possible combination of actions.
Aug 2, 2019 · In game theory, normal form or it is also called strategic form , is a description of a game. The normal (or strategic form) game is usually represented by a matrix which shows the players, strategies, and payoffs.
1 Normal Form Games. normal form Game G consists of three elements G = (I, S, u); where. I = {1, 2, . . . , n} is the set of decision makers, the players. S = S1, ×S2 × · · · × Sn describes the feasible actions of the players. The players choose a strategy. = (s1, s2, . . . , sn) ∈ S simultaneously. An outcome is obtained.
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It has widespread applications in economics, political science, psychology, biology, computer science, and data science. Some of the applications include radio spectrum auctions, voting, and organ donations. These notes introduce the basic strategic form game, also known as the normal form game.
The extensive-form representation of a game contains all the information about the game explicitly, by defining who moves when, what each player knows when he moves, what moves are available to him, and where each move leads to, etc.