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Blockbusting (game)
Blockbusting is a solved combinatorial game introduced in 1987 by Elwyn Berlekamp illustrating a generalisation of overheating. The analysis of Blockbusting may be used as the basis of a strategy for the combinatorial game of Domineering. Blockbusting is a partisan game for two players known as Red and Blue (or Right and Left) played on an n \times 1 strip of squares called "parcels". Each player, in turn, claims and colors one previously unclaimed parcel until all parcels have been claimed. At the end, Left's score is the number of pairs of neighboring parcels both of which he has claimed. Left therefore tries to maximize that number while Right tries to minimize it. Adjacent Right-Right pairs do not affect the score. Although the purpose of the game is to further the study of combinatorial game theory, Berlekamp provides an interpretation alluding to the practice of blockbusting by real estate agents: the players may be seen as rival agents buying up all the parcels on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Solved Game
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly. This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory and/or computer assistance. Overview A two-player game can be solved on several levels: ;Ultra-weak : Prove whether the first player will win, lose or draw from the initial position, given perfect play on both sides. This can be a non-constructive proof (possibly involving a strategy-stealing argument) that need not actually determine any moves of the perfect play. ;Weak : Provide an algorithm that secures a win for one player, or a draw for either, against any possible moves by the opponent, from the beginning of the game. ;Strong : Provide an algorithm that can produce perfect moves from any position, even if mistakes have already been made on one ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Real Estate Agent
A real estate agent or real estate broker is a person who represents sellers or buyers of real estate or real property. While a broker may work independently, an agent usually works under a licensed broker to represent clients. Brokers and agents are licensed by the state to negotiate sales agreements and manage the documentation required for closing real estate transactions. Buyers and sellers are generally advised to consult a licensed real estate professional for a written definition of an individual state's laws of agency. Many states require written disclosures to be signed by all parties outlining the duties and obligations. Generally, real estate brokers or agents fall into four categories of representation: *Seller's agents, commonly called "listing brokers" or "listing agents", are contracted by owners to assist with marketing property for sale or lease. *Buyer's agents are brokers or salespersons who assist buyers by helping them purchase property. *Dual agents help ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abstract Strategy Games
Abstract strategy games admit a number of definitions which distinguish these from strategy games in general, mostly involving no or minimal narrative theme, outcomes determined only by player choice (with no randomness), and perfect information. For example, Go is a pure abstract strategy game since it fulfills all three criteria; chess and related games are nearly so but feature a recognizable theme of ancient warfare; and Stratego is borderline since it is deterministic, loosely based on 19th-century Napoleonic warfare, and features concealed information. Definition Combinatorial games have no randomizers such as dice, no simultaneous movement, nor hidden information. Some games that do have these elements are sometimes classified as abstract strategy games. (Games such as '' Continuo'', Octiles, '' Can't Stop'', and Sequence, could be considered abstract strategy games, despite having a luck or bluffing element.) A smaller category of abstract strategy games manages to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ishi Press
Samuel Howard Sloan (born September 7, 1944) is an American perennial candidate and former broker-dealer. In 1978, he won a case '' pro se'' before the United States Supreme Court, becoming the last non-lawyer to argue a case in front of the court before it prohibited the practice in 2013. In 2006, Sloan served on the executive board of the United States Chess Federation. He has run unsuccessfully or attempted to run for several political offices, including President of the United States. Early life and education Sloan was born in Richmond, Virginia, and graduated from high school in 1962. He studied at the University of California, Berkeley, where he became president of the Sexual Freedom League branch before dropping out. Sloan began studying chess at age 7. In 1959, he was the youngest competitor in the National Capital Open Chess Tournament in Washington, D.C. The United States Chess Federation's database reports that he has played in 152 chess tournaments since 1991 and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Go (game)
Go is an abstract strategy board game for two players in which the aim is to surround more territory than the opponent. The game was invented in China more than 2,500 years ago and is believed to be the oldest board game continuously played to the present day. A 2016 survey by the International Go Federation's 75 member nations found that there are over 46 million people worldwide who know how to play Go and over 20 million current players, the majority of whom live in East Asia. The playing pieces are called stones. One player uses the white stones and the other, black. The players take turns placing the stones on the vacant intersections (''points'') of a board. Once placed on the board, stones may not be moved, but stones are removed from the board if the stone (or group of stones) is surrounded by opposing stones on all orthogonally adjacent points, in which case the stone or group is ''captured''. The game proceeds until neither player wishes to make another move. Whe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warming (combinatorial Game Theory)
In combinatorial game theory, cooling, heating, and overheating are operations on hot games to make them more amenable to the traditional methods of the theory, which was originally devised for cold games in which the winner is the last player to have a legal move. Overheating was generalised by Elwyn Berlekamp for the analysis of Blockbusting. Chilling (or unheating) and warming are variants used in the analysis of the endgame of Go. Cooling and chilling may be thought of as a tax on the player who moves, making them pay for the privilege of doing so, while heating, warming and overheating are operations that more or less reverse cooling and chilling. Basic operations: cooling, heating The cooled game G_t (" G cooled by t ") for a game G and a (surreal) number t is defined by :: G_t = \begin \ & \text t \leq \text \tau \text G_\tau \text m \text\\ G_t = m & \text t > \tau \end . The amount t by which G is cooled is known as the ''temperature''; the minimum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Wolfe (mathematician)
David Wolfe is a mathematician and amateur Go player. Education and career Wolfe graduated from Cornell University in 1985, with a bachelor's degree in electrical engineering. He obtained a Ph.D. in computer science from the University of California, Berkeley in 1994, with a dissertation ''Mathematics of Go: Chilling Corridors'' combining both subjects and supervised by Elwyn Berlekamp. After working as a lecturer at the University of California, Berkeley from 1991 to 1996, as an associate professor at Gustavus Adolphus College from 1996 to 2008, and then as an adjunct faculty member at Dalhousie University, he moved from academia to the software industry. Wolfe was a fan of Martin Gardner and in 2009 he teamed up with Tom M. Rodgers to edit a Gardner tribute book. Books Wolfe is the author of books on combinatorial game theory, including: *''Mathematical Go: Chilling Gets the Last Point'' (with Elwyn Berlekamp Elwyn Ralph Berlekamp (September 6, 1940 – April 9, 2019) was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Segregationist
Racial segregation is the systematic separation of people into racial or other ethnic groups in daily life. Racial segregation can amount to the international crime of apartheid and a crime against humanity under the Statute of the International Criminal Court. Segregation can involve the spatial separation of the races, and mandatory use of different institutions, such as schools and hospitals by people of different races. Specifically, it may be applied to activities such as eating in restaurants, drinking from water fountains, using public toilets, attending schools, going to films, riding buses, renting or purchasing homes or renting hotel rooms. In addition, segregation often allows close contact between members of different racial or ethnic groups in hierarchical situations, such as allowing a person of one race to work as a servant for a member of another race. Segregation is defined by the European Commission against Racism and Intolerance as "the act by which a (n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Blockbusting
Blockbusting was a business practice in the United States in which real estate agents and building developers convinced white residents in a particular area to sell their property at below-market prices. This was achieved by fearmongering the homeowners, telling them that racial minorities would soon be moving into their neighborhoods. The blockbusters would then sell those same houses at inflated prices to black families seeking upward mobility. Blockbusting became prominent after post-World War II bans on explicitly segregationist real estate practices. By the 1980s it had mostly disappeared in the United States after changes to the law and real estate market. Background From 1900–1970, around 6 million African Americans from the rural Southern United States moved to industrial and urban cities in the Northern and Western United States during the Great Migration in effort to avoid the Jim Crow laws, violence, bigotry, and limited opportunities of the South. Resettlemen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorial Game
Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a ''position'' that the players take turns changing in defined ways or ''moves'' to achieve a defined winning condition. Combinatorial game theory has not traditionally studied games of chance or those that use imperfect or incomplete information, favoring games that offer perfect information in which the state of the game and the set of available moves is always known by both players. However, as mathematical techniques advance, the types of game that can be mathematically analyzed expands, thus the boundaries of the field are ever changing. Scholars will generally define what they mean by a "game" at the beginning of a paper, and these definitions often vary as they are specific to the game being analyzed and are not meant to represent the entire scope of the field. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorial Game Theory
Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a ''position'' that the players take turns changing in defined ways or ''moves'' to achieve a defined winning condition. Combinatorial game theory has not traditionally studied games of chance or those that use imperfect or incomplete information, favoring games that offer perfect information in which the state of the game and the set of available moves is always known by both players. However, as mathematical techniques advance, the types of game that can be mathematically analyzed expands, thus the boundaries of the field are ever changing. Scholars will generally define what they mean by a "game" at the beginning of a paper, and these definitions often vary as they are specific to the game being analyzed and are not meant to represent the entire scope of the field. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partisan Game
In combinatorial game theory, a game is partisan (sometimes partizan) if it is not impartial. That is, some moves are available to one player and not to the other. Most games are partisan. For example, in chess, only one player can move the white pieces. More strongly, when analyzed using combinatorial game theory, many chess positions have values that cannot be expressed as the value of an impartial game, for instance when one side has a number of extra tempos that can be used to put the other side into zugzwang. Partisan games are more difficult to analyze than impartial game In combinatorial game theory, an impartial game is a game in which the allowable moves depend only on the position and not on which of the two players is currently moving, and where the payoffs are symmetric. In other words, the only difference betw ...s, as the Sprague–Grundy theorem does not apply. However, the application of combinatorial game theory to partisan games allows the significance of ''numbe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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