A proportional division is a kind of fair division in which a resource is divided among n partners with subjective valuations, giving each partner at least...
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proportions Proportional division, a kind of fair division Percentage, a number or ratio expressed as a fraction of 100 Proportional fonts Proportionally fair...
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A strongly proportional division (sometimes called super-proportional division) is a kind of a fair division. It is a division of resources among n partners...
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Fair cake-cutting (section Proportionality)
possible deterministic protocol for proportional division, and the fastest possible protocol for proportional division which can guarantee that the pieces...
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Proportional fairness may refer to: Proportional division - a division of a resource among n {\displaystyle n} partners such that each partner receives...
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Proportional representation (PR) refers to any type of electoral system under which subgroups of an electorate are reflected proportionately in the elected...
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A proportional cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the proportionality criterion...
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Party-list proportional representation (list-PR) is a system of proportional representation based on preregistered political parties, with each party...
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V_{i}(C)/n} for all i. A super-proportional division is one where each player receives strictly more than 1/n. (Such a division exists only if the players...
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the eyes of all agents in all groups. For example: A division is called unanimously-proportional if every agent in every group values his/her group's...
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Modular arithmetic (redirect from Modular division)
g., game theory) and other areas of the social sciences, where proportional division and allocation of resources plays a central part of the analysis...
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Price of fairness (redirect from Utilitarian price of proportionality)
discard the current division and make a new proportional division (e.g. using the last diminisher protocol). In a proportional division, every partner receives...
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A proportional–integral–derivative controller (PID controller or three-term controller) is a control loop mechanism employing feedback that is widely used...
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The proportional rule is a division rule for solving bankruptcy problems. According to this rule, each claimant should receive an amount proportional to...
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Consensus splitting (redirect from Even division)
implies that unanimous-proportional division requires at least n-1 cuts, and that finding an approximate unanimous-proportional division is PPA-hard. For every...
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valuations. A proportional division of such a cake always exists. What is the runtime complexity of calculating a connected-proportional allocation of...
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≥ V i ( M ) / n {\displaystyle V_{i}(X_{i})\geq V_{i}(M)/n} . A proportional division may not exist. For example, if the number of people is larger than...
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Fair pie-cutting (category Fair division protocols)
2(n-1)^{2}} . A division is called proportional if each of two partners receives a value of at least 1/2. It is called weighted proportional (WPR) if partner...
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started in the 1940s. The first fairness criterion studied was proportional division, and a procedure for n partners was soon found. The stronger criterion...
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Even–Paz protocol (category Fair division protocols)
It allows the n people to achieve a proportional division. The first published algorithm for proportional division of a cake was the last diminisher algorithm...
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Dubins–Spanier theorems (category Fair division)
{\displaystyle X} to n pieces (one piece per partner) is called a super-proportional division with weights w 1 , w 2 , . . . , w n {\displaystyle w_{1},w_{2}...
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or, proportionally, 5 : 1. {\displaystyle 5:1.} To scale this recipe to larger or smaller quantities of cake, a ratio of flour to sugar proportional to...
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many cuts are required for a fair division? (b) how many queries are needed for computing a division? See: Proportional cake-cutting with different entitlements...
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would like to divide D fairly among them, where "fair" means a proportional division. Additionally, the share allocated to each country must be connected...
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Proportional-fair scheduling is a compromise-based scheduling algorithm. It is based upon maintaining a balance between two competing interests: Trying...
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Electoral system (section Proportional systems)
preference: Mixed member proportional Single transferable vote Open list proportional Alternative vote Closed list proportional Single member plurality...
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Fair cake-cutting: consider the problem of creating a partially proportional division of a heterogeneous resource among n {\displaystyle n} people, such...
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Last diminisher (category Fair division protocols)
different parts of the cake. It allows the n people to achieve a proportional division, i.e., divide the cake among them such that each person receives...
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old Ottoman debt, a great weight on the new state, he accepted a proportional division of the debt among the successor states of the empire. On matters...
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Hugo Steinhaus (category Fair division researchers)
the problem definition to three or more people, by inviting the proportional division criterion. Foreword to "One hundred problems in elementary mathematics"...
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