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Move By Nature
In game theory a move by nature is a ''decision'' or ''move'' in an extensive form game made by a player who has no strategic interests in the outcome. The effect is to add a player, "Nature", whose practical role is to act as a random number generator. For instance, if a game of Poker requires a dealer to choose which cards a player is dealt, the dealer plays the role of the nature player. Moves by nature are an integral part of games of incomplete information. See also * Games of chance A game of chance is in contrast with a game of skill. It is a game whose outcome is strongly influenced by some randomizing device. Common devices used include dice, spinning tops, playing cards, roulette wheels, numbered balls, or in the case ... References * {{Game theory Game theory ...
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Extensive Form Game 3
Extensive may refer to: * Extensive property * Extensive function * Extensional In any of several fields of study that treat the use of signs — for example, in linguistics, logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid infe ... See also * Extension (other) {{Dab ...
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Game Theory
Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the losses and gains of the other participant. In the 1950s, it was extended to the study of non zero-sum games, and was eventually applied to a wide range of Human behavior, behavioral relations. It is now an umbrella term for the science of rational Decision-making, decision making in humans, animals, and computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was f ...
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Extensive Form Game
In game theory, an extensive-form game is a specification of a game allowing for the explicit representation of a number of key aspects, like the sequencing of players' possible moves, their choices at every decision point, the (possibly imperfect) information each player has about the other player's moves when they make a decision, and their payoffs for all possible game outcomes. Extensive-form games also allow for the representation of incomplete information in the form of chance events modeled as " moves by nature". Extensive-form representations differ from normal-form in that they provide a more complete description of the game in question, whereas normal-form simply boils down the game into a payoff matrix. Finite extensive-form games Some authors, particularly in introductory textbooks, initially define the extensive-form game as being just a game tree with payoffs (no imperfect or incomplete information), and add the other elements in subsequent chapters as refinements ...
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Random Number Generator
Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols is generated that cannot be reasonably predicted better than by random chance. This means that the particular outcome sequence will contain some patterns detectable in hindsight but impossible to foresee. True random number generators can be '' hardware random-number generators'' (HRNGs), wherein each generation is a function of the current value of a physical environment's attribute that is constantly changing in a manner that is practically impossible to model. This would be in contrast to so-called "random number generations" done by ''pseudorandom number generators'' (PRNGs), which generate numbers that only look random but are in fact predetermined—these generations can be reproduced simply by knowing the state of the PRNG. Various applications of randomness have led to the development of different methods for generating random data. Some of ...
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Poker
Poker is a family of Card game#Comparing games, comparing card games in which Card player, players betting (poker), wager over which poker hand, hand is best according to that specific game's rules. It is played worldwide, with varying rules in different places. While the earliest known form of the game was played with just 20 cards, today it is usually played with a standard 52-card deck, although in countries where short packs are common, it may be played with 32, 40 or 48 cards.Parlett (2008), pp. 568–570. Thus poker games vary in deck configuration, the number of cards in play, the number Poker dealer, dealt face up or face down and the number Community card poker, shared by all players, but all have rules that involve one or more rounds of Betting in poker, betting. In most modern poker games, the first round of betting begins with one or more of the players making some form of a forced bet (the ''blind (poker), blind'' or ''ante''). In standard poker, each player bets a ...
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Poker Dealer
A poker dealer distributes cards to players and manages the action at a poker table. Professional dealers Any casino with a poker room must hire a staff of dealers. Casinos generally pay dealers minimum wage. However, a dealer's primary source of income is not salary, but tips from players. Tip income may be substantial for dealers who can deal hands quickly and efficiently. There are a few exceptions for taking tips. (e.g., in Sweden, where all the casinos are owned by the state, dealers and other casino personnel may not accept tips from players. This rule is complied with strictly.) To become employable by a casino, applicants without prior experience are typically required to complete a 4 to 6 week training program at a dealing school. Dealing in a casino may require working late hours and remaining seated for long periods of time. Dealers also commonly work holidays, since these are especially busy days for casinos. Having to deal with difficult individuals or abusiv ...
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Incomplete Information
In economics and game theory, complete information is an economic situation or game in which knowledge about other market participants or players is available to all participants. The utility functions (including risk aversion), payoffs, strategies and "types" of players are thus common knowledge. Complete information is the concept that each player in the game is aware of the sequence, strategies, and payoffs throughout gameplay. Given this information, the players have the ability to plan accordingly based on the information to maximize their own strategies and utility at the end of the game. A typical example is the prisoner's dilemma. Inversely, in a game with incomplete information, players do not possess full information about their opponents. Some players possess private information, a fact that the others should take into account when forming expectations about how those players will behave. A typical example is an auction: each player knows their own utility function (valua ...
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Games Of Chance
A game of chance is in contrast with a game of skill. It is a game whose outcome is strongly influenced by some randomizing device. Common devices used include dice, spinning tops, playing cards, roulette wheels, numbered balls, or in the case of digital games random number generators. A game of chance may be played as gambling if players wager money or anything of monetary value. Alternatively, a game of skill is one in which the outcome is determined mainly by mental or physical skill, rather than chance. While a game of chance may have some skill element to it, chance generally plays a greater role in determining its outcome. A game of skill may also may have elements of chance, but skill plays a greater role in determining its outcome. Gambling is known in nearly all human societies, even though many have passed laws restricting it. Early people used the knucklebones of sheep as dice. Some people develop a psychological addiction to gambling and will risk food and s ...
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