The last diminisher procedure is a procedure for fair cake-cutting. It involves a certain heterogenous and divisible resource, such as a birthday cake, and n partners with different preferences over 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 a piece with a value of at least 1/n of the total value according to his own subjective valuation. For example, if Alice values the entire cake as $100 and there are 5 partners then Alice can receive a piece that she values as at least $20, regardless of what the other partners think or do.
The lastdiminisher procedure is a procedure for fair cake-cutting. It involves a certain heterogenous and divisible resource, such as a birthday cake...
(major second), D♯–E♯ (major second), and E♯–F♮ (diminished second). Notice that the lastdiminished second is formed by two enharmonically equivalent...
interpret. Diminished breathing can limit volume, and medications, lack of energy, dry mouth, and lack of dentures can also frustrate communication. Last words...
In a bar, a last call (last orders) is an announcement made shortly before the bar closes for the night, informing patrons of their last chance to buy...
proportional (fair division) division for any number of players called 'last-diminisher' was devised in 1944. This was attributed to Banach and Knaster by...
two parties. When there are more parties, other procedures such as lastdiminisher or Even–Paz protocol can be used. Martin Gardner popularized the problem...
variant of the lastdiminisher protocol: Each fortunate partner in turn cuts 0.1 of his share and lets the other unfortunate partners diminish it. Either...
utility. In the context of cardinal utility, economists postulate a law of diminishing marginal utility. This law states that the first units of consumption...
The Last of Us Part I is a 2022 action-adventure game developed by Naughty Dog and published by Sony Interactive Entertainment. A remake of the 2013 game...
British Academy Games Award. A DLC expansion, entitled Cuphead: The Delicious Last Course, was released on June 30, 2022. A Netflix animated series based on...
Prelude to Ecstasy is the debut album by British indie rock band the Last Dinner Party, released on 2 February 2024 by Island Records. It was produced...
Segal-Halevi simulated two famous cake-cutting algorithms - Even–Paz and Lastdiminisher - on real land-value data from New Zealand and Israel. The agents'...
per agent, and O(n3) overall. This is much more than required for lastdiminisher (O(n) per agent) and for Even-Paz (O(log n) per agent). For other procedures...
describe a situation beyond which hope or good fortune will greatly diminish. "This is the last chance saloon. If we again fail to improve the performance of...
The Last Glacial Maximum (LGM), also referred to as the Last Glacial Coldest Period, was the most recent time during the Last Glacial Period where ice...
be easily translated to the chore-cutting. For example: To use the lastdiminisher protocol: ask an agent to cut a piece worth exactly 1 / n {\displaystyle...
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