In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice...

the people are not equal. For example, in proportional cake-cutting with different entitlements, the cake belongs to shareholders such that one of them...

known that weighted-proportional allocation with connected pieces may not exist: see proportional cake-cutting with different entitlements for an example....

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...

fairness criteria should be adapted accordingly. See proportional cake-cutting with different entitlements. In addition to fairness, it is sometimes desired...

impossibility result for 1-dimensional interval cake and 2 partners (see proportional cake-cutting with different entitlements). The land plots in Brøndby Haveby (Denmark)...

computing a division? See: Proportional cake-cutting with different entitlements. Envy-free cake-cutting with different entitlements. Cloud computing environments...

the allocation might be only fractionally-proportional. Proportional cake-cutting with different entitlements requires at least Ω(n log(D)) RW queries...

earned or loss incurred Fair division Entitlement (fair division) Proportional cake-cutting with different entitlements "legislative apportionment | government...

are required for implementing a proportional cake-cutting among n {\displaystyle n} agents with different entitlements? Lower bound: 2 n − 2 {\displaystyle...

loses value here too, but the loss is less severe.: 83–84  In the fair cake-cutting problem, classic allocation rules such as divide and choose are not RM...

fair cake-cutting) and for dividing an undesirable resource (as in chore division). Divide and choose assumes that the parties have equal entitlements and...

is described in the page state-population monotonicity. In the fair cake-cutting problem, classic allocation rules such as divide and choose are not PM...

several common apportionment rules Proportional representation Proportional cake-cutting with different entitlements Fair item allocation Grimmett, Geoffrey...

algorithm to agents with different entitlements, including irrational entitlements. In this setting, the entitlement of each agent i is represented by...

fair cake-cutting. The goal is to select a subset of this interval, with total length at most k, where here k and c can be any real numbers with 0<k<c...

this is not fair to the other partners. This is in contrast to the fair cake-cutting problem, where the dividend is divisible and a fair division always exists...

among every two subsets of agents. Entitlement (fair division) Proportional cake-cutting with different entitlements Strategic bankruptcy problem Pari...

This is in contrast to proportional division procedures, which give each partner at least 1 / n {\displaystyle 1/n} of the cake, but may give more to some...

is an unequal split, then z* is weighted-proportional (proportional for agents with different entitlements). This implies an efficient algorithm for...

online fair cake-cutting. He tested them using a computerized simulation: valuation functions for each agent were generated by dividing the cake into random...

the same entitlements, it makes sense to let all agents eat in the same speed all the time. However, when agents have different entitlements, it is possible...

Bar soap The common cake of soap used in the tub or shower was familiarly called "soap" or "bath soap"; the term "bar soap" arose with the advent of soaps...

concluded with foreign clients from London or other British cities over distant commodities like coffee, tea, cotton, rubber, and sugar. Proportionally, even...

among the weak and leaving the fortunate layers to consume the whole of the cake". The 1992 Indra Sawhney & Others v. Union of India judgement laid down the...

rough life. She is very calm, polite, and quiet although there may be a different side to her personality. First appearance: Episode 2, officially appears...

subtracted, they will sum to zero. Thus, cutting a cake, where taking a larger piece reduces the amount of cake available for others as much as it increases...