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Egalitarian Equivalence
Egalitarian equivalence (EE) is a criterion of fair division. In an egalitarian-equivalent division, there exists a certain "reference bundle" Z such that each agent feels that his/her share is equivalent to Z. The EE fairness principle is usually combined with Pareto efficiency. A PEEEA is an allocation that is both Pareto efficient and egalitarian-equivalent. Definition A set of resources are divided among several agents such that every agent i receives a bundle X_i. Every agent i has a subjective preference relation \succeq_i which is a total order over bundle. These preference relations induce an equivalence relation in the usual way: X \sim_i Y iff X \succeq_i Y \succeq_i X. An allocation is called ''egalitarian-equivalent'' if there exists a bundle Z such that, for all i: :::X_i \sim_i Z An allocation is called ''PEEEA'' if it is both Pareto-efficient and egalitarian-equivalent. Motivation The EE criterion was introduced by Elisha Pazner and David Schmeidler in 1978. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fair Division
Fair division is the problem in game theory of dividing a set of resources among several people who have an entitlement to them so that each person receives their due share. That problem arises in various real-world settings such as division of inheritance, partnership dissolutions, divorce settlements, electronic frequency allocation, airport traffic management, and exploitation of Earth observation satellites. It is an active research area in mathematics, economics (especially social choice theory), dispute resolution, etc. The central tenet of fair division is that such a division should be performed by the players themselves, maybe using a mediator but certainly not an arbiter as only the players really know how they value the goods. The archetypal fair division algorithm is divide and choose. It demonstrates that two agents with different tastes can divide a cake such that each of them believes that he got the best piece. The research in fair division can be seen as an exten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Herve Moulin
Herve (; li, Herf; wa, Heve) is a city and municipality of Wallonia located in the province of Liège, Belgium. On January 1, 2018 Herve had a total population of 17,598. The total area is which gives a population density of . It is famed for its Herve cheese. Municipal merger Since January 1, 1977, the municipality consists of the following districts: , , , , , Herve, and Xhendelesse. Herve is currently constituted of 11 villages: Battice, Bolland, Bruyères, Chaineux, Charneux, Grand-Rechain, Herve, José, Julémont, Manaihant, Xhendelesse. There are a number of smaller villages in the Herve region, such as Hacboister (district of Bolland). Architecture * ''The Church of St John the Baptist'': built in the 17th century. The tower, with a height of , dates back to the 13th century. The bell tower is a distinctively crooked spire, in order to offer better resistance to the wind. The church was classed as a historic monument in 1934. * '' Château de Bolland'': a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
