Fair Share: 111 Problems from Ahmes to Aumann

Elishakoff, Isaac

Fair Share: 111 Problems from Ahmes to Aumann
  • 出版商: Springer
  • 出版日期: 2024-05-04
  • 售價: $1,870
  • 貴賓價: 9.5 折 $1,777
  • 語言: 英文
  • 頁數: 280
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031404181
  • ISBN-13: 9783031404184

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商品描述

Kofi Annan, former Secretary General of the United Nations, argued that "We need to create a world that is equitable, that is stable and a world where we bear in mind the needs of others, and not only what we need immediately. We are all in the same boat."

American businessman, John Landgraf stated: "I hope that most of us believe that we actually would all benefit from living in a more equitable society. If that's not happening, we're squandering human potential." For the world to be fair, one needs to know how to divide. Without the mathematics of division, humankind cannot function...

Marie Antoinette, Queen of France (infamously) said "If people have no bread, let them eat cake," and while Ahmes ― the scribe of the Rhind Mathematical Papyrus ― dealt with loaves of bread, prosperous people in the twentieth century dealt with cake division, although bread is also uniformly available. You'll be surprised, but there are at least four books and over 200 scientific (not gastronomical!) papers on cake division. Those authors were not overly concerned with obesity, one can guess, but whether distributing loaves, cakes, chores, or dividends, one needs to master division.

This book deals with a wide spectrum of division problems, and provides the historical background, giving a sense of how pervasive division is in our lives. In particular, the second part focuses on a problem that remained open until 1985, when Professor Robert John Aumann (Nobel laureate in Economics, 2005) and Professor Michael Maschler solved it using game-theoretic techniques. Simple alternative solutions are given, which are suitable for high schools and other educational institutions.

商品描述(中文翻譯)

前聯合國秘書長科菲·安南(Kofi Annan)曾表示：「我們需要創造一個公平穩定的世界，一個我們考慮他人需求而非僅僅自己需求的世界。我們都在同一艘船上。」美國商人約翰·蘭德格拉夫(John Landgraf)則說：「我希望大多數人都相信我們生活在一個更公平的社會中將使我們受益。如果這種情況沒有發生，我們就在浪費人類的潛力。」要讓世界變得公平，人們需要知道如何分配。沒有除法的數學，人類無法運作...

法國王后瑪麗·安托瓦內特(Marie Antoinette)曾(臭名昭著地)說過：「如果人民沒有麵包，就讓他們吃蛋糕。」而Rhind數學紙莎草的抄寫員Ahmes則處理麵包的分配，20世紀富裕人士則處理蛋糕的分配，儘管麵包也是普遍可得的。你可能會驚訝，但至少有四本書和200多篇科學(非美食)論文探討了蛋糕的分配。可以猜測，這些作者並不過分關注肥胖問題，而是關注如何分配麵包、蛋糕、家務或股息，人們需要掌握除法。

這本書涵蓋了廣泛的分配問題，並提供了歷史背景，讓人們了解分配在我們生活中的普遍性。特別是第二部分聚焦於一個直到1985年才解決的問題，當時羅伯特·約翰·奧曼教授(2005年諾貝爾經濟學獎得主)和邁克爾·馬施勒教授使用博弈論技巧解決了這個問題。書中提供了簡單的替代解決方案，適合高中和其他教育機構使用。

作者簡介

Isaac Elishakoff serves as a Distinguished Research Professor at the Florida Atlantic University (FAU), in Boca Raton, Florida, USA. He has authored 18 books and over 590 scientific papers. He was awarded the Worcester Reed Warner Medal by the American Society of Mechanical Engineers in 2016, the Blaise Pascal Medal by the European Academy of Sciences in 2021, and the FAU President's Award for Career Achievement in 2023.

作者簡介(中文翻譯)

Isaac Elishakoff在美國佛羅里達州博卡拉頓的佛羅里達大西洋大學（FAU）擔任傑出研究教授。他已經撰寫了18本書和超過590篇科學論文。他於2016年獲得美國機械工程師學會的Worcester Reed Warner獎章，2021年獲得歐洲科學院的Blaise Pascal獎章，並於2023年獲得FAU校長獎。

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