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Envy minimization information


In computer science and operations research, the envy minimization problem is the problem of allocating discrete items among agents with different valuations over the items, such that the amount of envy is as small as possible.

Ideally, from a fairness perspective, one would like to find an envy-free item allocation - an allocation in which no agent envies another agent. That is: no agent prefers the bundle allocated to another agent. However, with indivisible items this might be impossible. One approach for coping with this impossibility is to turn the problem to an optimization problem, in which the loss function is a function describing the amount of envy. In general, this optimization problem is NP-hard, since even deciding whether an envy-free allocation exists is equivalent to the partition problem. However, there are optimization algorithms that can yield good results in practice.

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Envy minimization

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In computer science and operations research, the envy minimization problem is the problem of allocating discrete items among agents with different valuations...

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Distributed constraint optimization

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Netzer, Arnon; Meisels, Amnon; Zivan, Roie (2016-03-01). "Distributed envy minimization for resource allocation". Autonomous Agents and Multi-Agent Systems...

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Makespan

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order. Fair makespan minimization - When assigning tasks to agents, it is required both to minimize the makespan, and to avoid envy. If the fastest worker...

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Online fair division

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Geometric Discrepancy for Stochastic Arrivals with Applications to Envy Minimization". arXiv:1910.01073 [cs.DS]. Zeng, David; Psomas, Alexandros (2020-07-13)...

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Fair allocation of items and money

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subsidy minimization in the general item-allocation setting. They consider two cases: The allocation is given in advance. In this case, it is "envy-freeable"...

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Fair item allocation

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They define an approximation to envy-freeness called EFM (envy-freeness for mixed items), which generalizes both envy-freeness for divisible items and...

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House allocation problem

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complete EF allocation, in which the maximum number of agents envied by a single agent is minimized. Madathil, Misra and Sethia prove that it is NP-hard even...

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Efficient approximately fair item allocation

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approximations have been studied, such as maximin-share fairness (MMS), envy-freeness up to one item (EF1), proportionality up to one item (PROP1), and...

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Cognitive dissonance

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predict and explain its sensations. Crucial to this inference is the minimization of prediction error. The predictive dissonance account proposes that...

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Artificial intelligence

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area of dominance that the rest of the world views with a mixture of awe, envy, and resentment: artificial intelligence... From AI models and research to...

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Devil

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be superior to Adam out of pride.[Quran 7:12] Therefore, pride but also envy became a sign of "unbelief" in Islam. Thereafter, Iblis was condemned to...

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List of characters in the Breaking Bad franchise

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When Jimmy goes to work as an associate at Davis & Main, Oakley expresses envy at his salary and fringe benefits. When Jimmy is arrested for the break in...

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List of The Great North episodes

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ditch Picture Day to recover Dagmar, a coconut "brother" Moon created out of envy over Ham and Judy's close bond, and later buried. He sadly discovers that...

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Rental harmony

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(NN): all prices must be 0 or more: no partner should be paid to get a room. Envy-freeness (EF): Given a pricing scheme (an assignment of rent to rooms), we...

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Below Deck Mediterranean

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his racist and misogynistic posts on social media. His appearances were minimized in later episodes. "What are the Jobs Available? | YPI CREW". ypicrew...

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Lex Luthor

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because he views Superman as a threat to humanity, but in reality because he envies Superman's popularity and influence. Given his high profile as a supervillain...

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Sigmund Freud

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of the feminine castration complex and penis envy, Horney argued for a primary femininity and penis envy as a defensive formation rather than arising...

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Psychology

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and developed self-psychology. Karen Horney developed the concept of "womb envy" and neurotic needs. Psychoanalyst Melanie Klein impacted developmental psychology...

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Adam Smith

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indignation of the poor, who are often both driven by want, and prompted by envy, to invade his possessions. It is only under the shelter of the civil magistrate...

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Big Tech

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(January 15, 2020). "Silicon Valley Abandons the Culture That Made It the Envy of the World". The Atlantic. Retrieved December 20, 2023. Molla, Rani (April...

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Relational transgression

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aim to minimize blame on the transgressor, the two address blame minimization from completely opposite perspectives. Excuses attempt to minimize blame...

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Historiography of India

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exclusion and violence throughout Indian history and the exclusion or minimization of contributions to Indian society made by Muslims. After a rival political...

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Stranger King

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depiction of traditional indigenous societies existing in a state of 'Warre', envy, and conflict. The theory was developed by the anthropologist Marshall Sahlins...

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Political positions of Javier Milei

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concluded that this was a debate about values, and that socialism embodies envy, resentment, and coercion, while capitalism or liberalism stands for the...

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