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...

proportional division (sometimes called super-proportional division: Def.2 : Def.8.1  or super-fair division: Sec.2.2 ) is a kind of a fair division....

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

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...

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...

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

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

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

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

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...

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

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...

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

≥ 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...

{\displaystyle n} people to achieve a proportional division. The first published algorithm for proportional division of a cake was the last diminisher algorithm...

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

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

{\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}...

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

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

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...

cases - cases in which we can use these pieces to attain a weighted-proportional division respecting the different entitlements: There are several combinations...

Degressive or progressive proportionality is an approach to the allocation of seats in a legislative body among administrative divisions of varying population...

effect may be proportional to the same degree that single non-transferable voting or limited voting is, thus it is often called semi-proportional. Approval...

this setting is proportional division, by which each agent should receive at least 1/n of their maximum utility. Since proportionality might not be attainable...

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...

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

called bhuktis, or antar-daśās, which are proportional divisions of the maha-dasa. Further proportional sub-divisions can be made, but error margins based...