Political Competition
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Political Competition
The Roemer model of political competition is a game between political parties in which each party announces a multidimensional policy vector. Since Nash equilibria do not normally exist when the policy space is multidimensional, John Roemer introduced the concept of party-unanimity Nash equilibrium (PUNE), which can be considered a generalization of the concept of Nash equilibrium in models of political competition. It is also a generalization of the Wittman model of political competition. In Roemer's model, all political parties are assumed to consist of three types of factions—opportunists, militants, and reformers. Opportunists seek solely to maximize the party's vote share in an election; militants seek to announce (and implement) the preferred policy of the average party member; and reformers have an objective function that is a convex combination In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vector ...
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Nash Equilibrium
In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equilibrium strategies of the other players, and no one has anything to gain by changing only one's own strategy. The principle of Nash equilibrium dates back to the time of Cournot, who in 1838 applied it to competing firms choosing outputs. If each player has chosen a strategy an action plan based on what has happened so far in the game and no one can increase one's own expected payoff by changing one's strategy while the other players keep their's unchanged, then the current set of strategy choices constitutes a Nash equilibrium. If two players Alice and Bob choose strategies A and B, (A, B) is a Nash equilibrium if Alice has no other strategy available that does better than A at maximizing her payoff in response to Bob choosing B, and Bo ...
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John Roemer
John E. Roemer (; born February 1, 1945 in Washington, D.C., to Ruth Roemer and Milton Roemer, namesake of Roemer's law) is an American economist and political scientist. He is the Elizabeth S. and A. Varick Stout Professor of Political Science and Economics at Yale University. Before Yale, he was on the economics faculty at the University of California, Davis, and before entering academia Roemer worked for several years as a labor organizer. He is married to Natasha Roemer, with whom he has two daughters. Roemer received his A.B. in mathematics ''summa cum laude'' from Harvard in 1966. He then enrolled as a graduate student in mathematics at the University of California, Berkeley. He became intensely involved in the anti-Vietnam-War movement, transferred to the doctoral program in economics, and was suspended by the university for his political activities. He taught mathematics in San Francisco secondary schools for five years. Eventually he returned to Berkeley and receiv ...
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Wittman Model
Wittman is a surname. Notable people with the surname include: *Baldy Wittman (born c. 1871), professional football player for the Massillon Tigers * Brian Wittman, American musical instrument maker, inventor of the xaphoon *Carl Wittman (1943–1986), member of the national council of Students for a Democratic Society and activist for LGBT rights *Chris Wittman (born 1965), former Australian rules footballer *Don Wittman (1936–2008), Canadian sportscaster * Georg Michael Wittman (1760–1833), German Catholic bishop-elect * George Wittman (1857–1950), San Francisco Police chief of police *Greg Wittman (born 1947), American professional basketball player *Karl F. Wittman (1892-1981), American evangelist and composer * Patrizius Wittman (1818–1883), Catholic journalist *Randy Wittman (born 1959), American professional basketball player and coach * Robert J. "Rob" Wittman (born 1959), U.S. Representative for Virginia's 1st congressional district * Robert K. "Bob" Wittman (born 19 ...
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Opportunism
Opportunism is the practice of taking advantage of circumstances – with little regard for principles or with what the consequences are for others. Opportunist actions are expedient actions guided primarily by self-interested motives. The term can be applied to individual humans and living organisms, groups, organizations, styles, behaviors, and trends. Opportunism or "opportunistic behaviour" is an important concept in such fields of study as biology, transaction cost economics, game theory, ethics, psychology, sociology and politics. Definitions Opportunism is the conscious policy and practice of taking selfish advantage of circumstances. Although in many societies opportunism often has a strong negative moral connotation, it may also be defined more neutrally as putting self-interest before other interests when there is an opportunity to do so, or flexibly adapting to changing circumstances to maximize self-interest (though usually in a way that negates some principle pre ...
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Militant (word)
The English word ''militant'' is both an adjective and a noun, and it is generally used to mean vigorously active, combative and/or aggressive, especially in support of a cause, as in "militant reformers". It comes from the 15th century Latin "''warrior''" meaning "to serve as a soldier". The related modern concept of the militia as a defensive organization against invaders grew out of the Anglo-Saxon fyrd. In times of crisis, the militiaman left his civilian duties and became a soldier until the emergency was over, when he returned to his civilian occupation. The current meaning of ''militant'' does not usually refer to a registered soldier: it can be anyone who subscribes to the idea of using vigorous, sometimes extreme, activity to achieve an objective, usually political. A "militant oliticalactivist" would be expected to be more confrontational and aggressive than an activist not described as militant. Militance may or may not include physical violence, armed combat, terr ...
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Reform Movement
A reform movement or reformism is a type of social movement that aims to bring a social or also a political system closer to the community's ideal. A reform movement is distinguished from more radical social movements such as revolutionary movements which reject those old ideals, in that the ideas are often grounded in liberalism, although they may be rooted in socialist (specifically, social democratic) or religious concepts. Some rely on personal transformation; others rely on small collectives, such as Mahatma Gandhi's spinning wheel and the self-sustaining village economy, as a mode of social change. Reactionary movements, which can arise against any of these, attempt to put things back the way they were before any successes the new reform movement(s) enjoyed, or to prevent any such successes. United Kingdom After two decades of intensely conservative rule, the logjam broke in the late 1820s with the repeal of obsolete restrictions on Nonconformists, followed by the ...
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Convex Combination
In convex geometry and vector algebra, a convex combination is a linear combination of points (which can be vectors, scalars, or more generally points in an affine space) where all coefficients are non-negative and sum to 1. In other words, the operation is equivalent to a standard weighted average, but whose weights are expressed as a percent of the total weight, instead of as a fraction of the ''count'' of the weights as in a standard weighted average. More formally, given a finite number of points x_1, x_2, \dots, x_n in a real vector space, a convex combination of these points is a point of the form :\alpha_1x_1+\alpha_2x_2+\cdots+\alpha_nx_n where the real numbers \alpha_i satisfy \alpha_i\ge 0 and \alpha_1+\alpha_2+\cdots+\alpha_n=1. As a particular example, every convex combination of two points lies on the line segment between the points. A set is convex if it contains all convex combinations of its points. The convex hull of a given set of points is ident ...
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Political Theories
Political philosophy or political theory is the philosophical study of government, addressing questions about the nature, scope, and legitimacy of public agents and institutions and the relationships between them. Its topics include politics, liberty, justice, property, rights, law, and the enforcement of laws by authority: what they are, if they are needed, what makes a government legitimate, what rights and freedoms it should protect, what form it should take, what the law is, and what duties citizens owe to a legitimate government, if any, and when it may be legitimately overthrown, if ever. Political theory also engages questions of a broader scope, tackling the political nature of phenomena and categories such as identity, culture, sexuality, race, wealth, human-nonhuman relations, ethics, religion, and more. Political science, the scientific study of politics, is generally used in the singular, but in French and Spanish the plural (''sciences politiques'' and ''cie ...
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