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...

proportions Proportional division, a kind of fair division Percentage, a number or ratio expressed as a fraction of 100 Proportional fonts Proportionally fair...

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...

Proportional representation (PR) refers to any type of electoral system under which subgroups of an electorate are reflected proportionately in the elected...

possible deterministic protocol for proportional division, and the fastest possible protocol for proportional division which can guarantee that the pieces...

Proportional fairness may refer to: Proportional division - a division of a resource among n {\displaystyle n} partners such that each partner receives...

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...

Party-list proportional representation (list-PR) is a system of proportional representation based on preregistered political parties, with each party...

g., game theory) and other areas of the social sciences, where proportional division and allocation of resources plays a central part of the analysis...

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...

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...

A proportional–integral–derivative controller (PID controller or three-term controller) is a feedback-based control loop mechanism commonly used to manage...

The proportional rule is a division rule for solving bankruptcy problems. According to this rule, each claimant should receive an amount proportional to...

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...

implies that unanimous-proportional division requires at least n-1 cuts, and that finding an approximate unanimous-proportional division is PPA-hard. For every...

≥ 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...

valuations. A proportional division of such a cake always exists. What is the runtime complexity of calculating a connected-proportional allocation of...

started in the 1940s. The first fairness criterion studied was proportional division, and a procedure for n partners was soon found. The stronger criterion...

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...

{\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}...

preference: Mixed member proportional Single transferable vote Open list proportional Alternative vote Closed list proportional Single member plurality...

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...

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...

discard the current division and make a new proportional division (e.g. using the last diminisher protocol). In a proportional division, every partner receives...

deterministic mechanism that always returns a proportional division, and always returns a super-proportional division when it exists, cannot be truthful. Mossel...

Fair cake-cutting: consider the problem of creating a partially proportional division of a heterogeneous resource among n {\displaystyle n} people, such...

the problem definition to three or more people, by inviting the proportional division criterion. Foreword to "One hundred problems in elementary mathematics"...

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...

the equal and proportional rule together by four axioms (in fact, any three of these axioms are sufficient): Separability - the division of surplus within...

Proportional-fair scheduling is a compromise-based scheduling algorithm. It is based upon maintaining a balance between two competing interests: Trying...