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Matching Pennies
Matching pennies is a non-cooperative game studied in game theory. It is played between two players, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously. If the pennies match (both heads or both tails), then Even wins and keeps both pennies. If the pennies do not match (one heads and one tails), then Odd wins and keeps both pennies. Theory Matching Pennies is a zero-sum game because each participant's gain or loss of utility is exactly balanced by the losses or gains of the utility of the other participants. If the participants' total gains are added up and their total losses subtracted, the sum will be zero. The game can be written in a payoff matrix (pictured right - from Even's point of view). Each cell of the matrix shows the two players' payoffs, with Even's payoffs listed first. Matching pennies is used primarily to illustrate the concept of mixed strategies and a mixed str ...
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United States Cents 1991 02
United may refer to: Places * United, Pennsylvania, an unincorporated community * United, West Virginia, an unincorporated community Arts and entertainment Films * ''United'' (2003 film), a Norwegian film * ''United'' (2011 film), a BBC Two film * ''The United'' (film), an unreleased Arabic-language film Literature * ''United!'' (novel), a 1973 children's novel by Michael Hardcastle Music * United (band), Japanese thrash metal band formed in 1981 Albums * ''United'' (Commodores album), 1986 * ''United'' (Dream Evil album), 2006 * ''United'' (Marvin Gaye and Tammi Terrell album), 1967 * ''United'' (Marian Gold album), 1996 * ''United'' (Phoenix album), 2000 * ''United'' (Woody Shaw album), 1981 Songs * "United" (Judas Priest song), 1980 * "United" (Prince Ital Joe and Marky Mark song), 1994 * "United" (Robbie Williams song), 2000 * "United", a song by Danish duo Nik & Jay featuring Lisa Rowe * "United (Who We Are)", a song by XO-IQ, featured in the television ser ...
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Parity Game
A parity game is played on a colored directed graph, where each node has been colored by a priority – one of (usually) finitely many natural numbers. Two players, 0 and 1, move a (single, shared) token along the edges of the graph. The owner of the node that the token falls on selects the successor node (does the next move). The players keep moving the token, resulting in a (possibly infinite) path, called a play. The winner of a finite play is the player whose opponent is unable to move. The winner of an infinite play is determined by the priorities appearing in the play. Typically, player 0 wins an infinite play if the largest priority that occurs infinitely often in the play is even. Player 1 wins otherwise. This explains the word "parity" in the title. Parity games lie in the third level of the Borel hierarchy, and are consequently determined. Games related to parity games were implicitly used in Rabin's proof of decidability of the monadic second-order theory of ...
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Rock Paper Scissors
Rock, Paper, Scissors (also known by #Names, several other names and word orders) is an Intransitive game, intransitive hand game, usually played between two people, in which each player simultaneously forms one of three shapes with an outstretched hand. These shapes are "rock" (a closed fist: ✊), "paper" (a flat hand: ✋), and "scissors" (a fist with the index finger and middle finger extended, forming a V: ✌). The earliest form of "rock paper scissors"-style game originated in China and was subsequently imported into Japan, where it reached its modern standardized form, before being spread throughout the world in the early 20th century. A simultaneous game, simultaneous, zero-sum game, it has three possible outcomes: a draw, a win, or a loss. A player who decides to play rock will beat another player who chooses scissors ("rock crushes scissors" or "breaks scissors" or sometimes "blunts scissors"), but will lose to one who has played paper ("paper covers rock"); a play of ...
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Odds And Evens (hand Game)
Odds and evens is a simple game of chance and hand game, involving two people simultaneously revealing a number of fingers and winning or losing depending on whether they are odd or even, or alternatively involving one person picking up coins or other small objects and hiding them in their closed hand, while another player guesses whether they have an Parity (mathematics), odd or even number. The game may be used to make a decision or played for fun. The finger game is also known as swords, choosies, pick, odds-on poke, or bucking up. This zero-sum game, a variation of the ancient Morra (game), morra and ''par-impar'', is played in Europe, the US, and in Brazil, especially among children. History This game was known by the Greeks (as ''artiazein'') and Ancient Rome, Romans (as ''ludere par impar''). In the 1858 Krünitzlexikon it says: "The game Odds and Evens was very common amongst the Romans and was played either with knucklebones, tali, tesseris, or money and known as "Alea ...
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Tennis
Tennis is a List of racket sports, racket sport that is played either individually against a single opponent (singles (tennis), singles) or between two teams of two players each (doubles (tennis), doubles). Each player uses a tennis racket strung with a cord to strike a hollow rubber tennis ball, ball covered with felt over or around a net and into the opponent's tennis court, court. The object is to manoeuvre the ball in such a way that the opponent is not able to play a valid return. If a player is unable to return the ball successfully, the opponent scores a Point (tennis), point. Playable at all levels of society and at all ages, tennis can be played by anyone who can hold a racket, including Wheelchair tennis, wheelchair users. The original forms of tennis developed in France during the late Middle Ages. The modern form of tennis originated in Birmingham, England, in the late 19th century as lawn tennis. It had close connections to various field (lawn) games such as croqu ...
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Penalty Kick (association Football)
A penalty kick (commonly known as a penalty or a spot kick) is a method of restarting play in association football, in which a player is allowed to take a single shot at the goal while it is defended only by the opposing team's Goalkeeper (association football), goalkeeper. It is awarded when an foul (sports), offence punishable by a direct free kick is committed by a player in their own penalty area. The shot is taken from the penalty spot, which is 11 metres (12 yards) from the goal line and centered between the touch lines,Penalty only give if a foul start inside the 16m50 area,if a player fall in 16m50 area but the foul start outside the 16m50,it not a penalty Procedure The ball is placed on the penalty spot, regardless of where the foul occurred within the penalty area. The player taking the kick must be identified to the referee. Only the kicker and the defending team's goalkeeper are allowed to be within the penalty area; all other players must be within the field of pla ...
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Soccer
Association football, more commonly known as football or soccer, is a team sport played between two teams of 11 Football player, players who almost exclusively use their feet to propel a Ball (association football), ball around a rectangular field called a Football pitch, pitch. The objective of the game is to Scoring in association football, score more goals than the opposing team by moving the ball beyond the goal line into a rectangular-framed Goal (sport), goal defended by the opposing team. Traditionally, the game has been played over two 45-minute halves, for a total match time of 90 minutes. With an estimated 250 million players active in over 200 countries and territories, it is the world's most popular sport. Association football is played in accordance with the Laws of the Game (association football), Laws of the Game, a set of rules that has been in effect since 1863 and maintained by the International Football Association Board, IFAB since 1886. The game is pla ...
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Review Of Economic Studies
''The Review of Economic Studies'' (also known as ''REStud'') is a quarterly peer-reviewed academic journal covering economics. The journal is widely considered one of the top 5 journals in economics. It is managed by the editorial board currently chaired by Ruben Enikolopov. The current joint managing editors are Thomas Chaney at University of Southern California, Xavier D’Haultfoeuille at Center for Research in Economics and Statistics, Andrea Galeotti at London Business School, Bard Harstad at Stanford Graduate School of Business, Nir Jaimovich at University of California, San Diego, Katrine Loken at Norwegian School of Economics, Elias Papaioannou at London Business School, Vincent Sterk at University College London, and Noam Yuchtman at University of Oxford. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 6.345. History The journal was founded in 1933 by a group of economists based in Britain and the United States. The original editori ...
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American Economic Review
The ''American Economic Review'' is a monthly peer-reviewed academic journal first published by the American Economic Association in 1911. The current editor-in-chief is Erzo FP Luttmer, a professor of economics at Dartmouth College. The journal is based in Pittsburgh. It is one of the " top five" journals in economics. In 2004, the ''American Economic Review'' began requiring "data and code sufficient to permit replication" of a paper's results, which is then posted on the journal's website. Exceptions are made for proprietary data. Until 2017, the May issue of the ''American Economic Review'', titled the ''Papers and Proceedings'' issue, featured the papers presented at the American Economic Association's annual meeting that January. After being selected for presentation, the papers in the ''Papers and Proceedings'' issue did not undergo a formal process of peer review. Starting in 2018, papers presented at the annual meetings have been published in a separate journal, '' AEA Pap ...
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Risk Aversion
In economics and finance, risk aversion is the tendency of people to prefer outcomes with low uncertainty to those outcomes with high uncertainty, even if the average outcome of the latter is equal to or higher in monetary value than the more certain outcome. Risk aversion explains the inclination to agree to a situation with a lower average payoff that is more predictable rather than another situation with a less predictable payoff that is higher on average. For example, a risk-averse investor might choose to put their money into a bank account with a low but guaranteed interest rate, rather than into a stock that may have high expected returns, but also involves a chance of losing value. Example A person is given the choice between two scenarios: one with a guaranteed payoff, and one with a risky payoff with same average value. In the former scenario, the person receives $50. In the uncertain scenario, a coin is flipped to decide whether the person receives $100 or nothing. ...
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Quantal Response Equilibrium
Quantal response equilibrium (QRE) is a solution concept in game theory. First introduced by Richard McKelvey and Thomas Palfrey, it provides an equilibrium notion with bounded rationality. QRE is not an equilibrium refinement, and it can give significantly different results from Nash equilibrium. QRE is only defined for games with discrete strategies, although there are continuous-strategy analogues. In a quantal response equilibrium, players are assumed to make errors in choosing which pure strategy to play. The probability of any particular strategy being chosen is positively related to the payoff from that strategy. In other words, very costly errors are unlikely. The equilibrium arises from the realization of beliefs. A player's payoffs are computed based on beliefs about other players' probability distribution over strategies. In equilibrium, a player's beliefs are correct. Application to data When analyzing data from the play of actual games, particularly from labor ...
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