Ostrogorski's Paradox
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Ostrogorski's Paradox
Ostrogorski's paradox is a voting paradox studied in social choice theory. The paradox states that if each voter during an election voted for the political party with which they agreed on a majority of issues, then it is still possible that a majority of voters will disagree with the winning majority party on every issue. The paradox resembles the structure underlying the Condorcet paradox and Simpson's paradox and it has been proved that in every instance of Ostrogorski's paradox there is an underlying Condorcet paradox. It is named after Russian politician and political scientist Moisey Ostrogorsky Moisey Yakovlevich Ostrogorsky (also Moisei Ostrogorski; ; ; 1854 – 10 February 1921) was a Russian politician, political scientist, historian, jurist and sociologist. Along with Max Weber and Robert Michels, he is considered one of the fou .... References {{cite journal, title = The Ostrogorski Paradox: A Peculiarity of Compound Majority Decision, year = 1976, last1 ...
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Voting Paradox
In social choice theory, Condorcet's voting paradox is a fundamental discovery by the Marquis de Condorcet that majority rule is inherently contradiction, self-contradictory. The result implies that it is logically impossible for any voting system to guarantee that a winner will have support from a majority of voters; for example, there can be rock-paper-scissors scenarios where a majority of voters will prefer A to B, B to C, and also C to A, even if every voter's individual preferences are rational and avoid self-contradiction. Examples of Condorcet's paradox are called Condorcet cycles or cyclic ties. In such a cycle, every possible choice is rejected by the electorate in favor of another alternative, who is preferred by more than half of all voters. Thus, any attempt to ground social decision-making in majoritarianism must accept such self-contradictions (commonly called spoiler effects). Systems that attempt to do so, while minimizing the rate of such self-contradictions, ar ...
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Social Choice Theory
Social choice theory is a branch of welfare economics that extends the Decision theory, theory of rational choice to collective decision-making. Social choice studies the behavior of different mathematical procedures (social welfare function, social welfare functions) used to combine individual preferences into a coherent whole.Amartya Sen (2008). "Social Choice". ''The New Palgrave Dictionary of Economics'', 2nd EditionAbstract & TOC./ref> It contrasts with political science in that it is a Normative economics, normative field that studies how a society can make good decisions, whereas political science is a Positive economics, descriptive field that observes how societies actually do make decisions. While social choice began as a branch of economics and decision theory, it has since received substantial contributions from mathematics, philosophy, political science, and game theory. Real-world examples of social choice rules include constitution, constitutions and Parliamentary ...
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Paradox
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion. A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time. They result in "persistent contradiction between interdependent elements" leading to a lasting "unity of opposites". In logic, many paradoxes exist that are known to be invalid arguments, yet are nevertheless valuable in promoting critical thinking, while other paradoxes have revealed errors in definitions that were assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined. One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself and showed that attempts to found set theory on ...
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Election
An election is a formal group decision-making process whereby a population chooses an individual or multiple individuals to hold Public administration, public office. Elections have been the usual mechanism by which modern representative democracy has operated since the 17th century. Elections may fill offices in the legislature, sometimes in the executive (government), executive and judiciary, and for local government, regional and local government. This process is also used in many other private and business organizations, from clubs to voluntary association and corporations. The global use of elections as a tool for selecting representatives in modern representative democracies is in contrast with the practice in the democratic archetype, ancient History of Athens , Athens, where the elections were considered an oligarchy , oligarchic institution and most political offices were filled using sortition, also known as allotment, by which officeholders were chosen by lot. ...
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Political Party
A political party is an organization that coordinates candidates to compete in a particular area's elections. It is common for the members of a party to hold similar ideas about politics, and parties may promote specific political ideology, ideological or policy goals. Political parties have become a major part of the politics of almost every country, as modern party organizations developed and spread around the world over the last few centuries. Although List of countries without political parties, some countries have no political parties, this is extremely rare. Most countries have Multi-party system, several parties while others One-party state, only have one. Parties are important in the politics of autocracies as well as democracies, though usually Democracy, democracies have more political parties than autocracies. Autocracies often have a single party that Government, governs the country, and some political scientists consider competition between two or more parties to ...
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Condorcet Paradox
In social choice theory, Condorcet's voting paradox is a fundamental discovery by the Marquis de Condorcet that majority rule is inherently self-contradictory. The result implies that it is logically impossible for any voting system to guarantee that a winner will have support from a majority of voters; for example, there can be rock-paper-scissors scenarios where a majority of voters will prefer A to B, B to C, and also C to A, even if every voter's individual preferences are rational and avoid self-contradiction. Examples of Condorcet's paradox are called Condorcet cycles or cyclic ties. In such a cycle, every possible choice is rejected by the electorate in favor of another alternative, who is preferred by more than half of all voters. Thus, any attempt to ground social decision-making in majoritarianism must accept such self-contradictions (commonly called spoiler effects). Systems that attempt to do so, while minimizing the rate of such self-contradictions, are called Condo ...
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Simpson's Paradox
Simpson's paradox is a phenomenon in probability and statistics in which a trend appears in several groups of data but disappears or reverses when the groups are combined. This result is often encountered in social-science and medical-science statistics, and is particularly problematic when frequency data are unduly given causal interpretations. Judea Pearl. ''Causality: Models, Reasoning, and Inference'', Cambridge University Press (2000, 2nd edition 2009). . The paradox can be resolved when confounding variables and causal relations are appropriately addressed in the statistical modeling (e.g., through cluster analysis). Simpson's paradox has been used to illustrate the kind of misleading results that the misuse of statistics can generate. Edward H. Simpson first described this phenomenon in a technical paper in 1951; the statisticians Karl Pearson (in 1899) and Udny Yule (in 1903) had mentioned similar effects earlier. The name ''Simpson's paradox'' was introduced by Col ...
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Moisey Ostrogorsky
Moisey Yakovlevich Ostrogorsky (also Moisei Ostrogorski; ; ; 1854 – 10 February 1921) was a Russian politician, political scientist, historian, jurist and sociologist. Along with Max Weber and Robert Michels, he is considered one of the founders of political sociology, especially in the field of theories about party systems and political parties. Ostrogorski noted that loyalty to parties is often comparable to loyalty to one's religion. He was a member of the First State Duma of the Russian Empire representing the Grodno province in 1906–1907. Biography Moisey Ostrogorsky was born to a Lithuanian Jewish family in 1854 in the Grodno province of the Russian Empire (now in the Belarus), where he grew up. He studied law at Saint Petersburg State University and worked for the Russian justice ministry. He represented Grodno province in the First State Duma (Parliament of the Russian Empire). In the 1880s, he went to Paris and studied at the École Libre des Sciences Polit ...
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