Cake Cutting Algorithms
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Cake Cutting Algorithms
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Author : Jack Robertson
language : en
Publisher: CRC Press
Release Date : 1998-07-15
Cake Cutting Algorithms written by Jack Robertson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-15 with Mathematics categories.
The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations. Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940s, the concept has been widely popularized. This book
Cake Cutting Algorithms Be Fair If You Can
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Author : Robertson&webb
language : en
Publisher: Universities Press
Release Date :
Cake Cutting Algorithms Be Fair If You Can written by Robertson&webb and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Fair Division
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Author : Steven J. Brams
language : en
Publisher: Cambridge University Press
Release Date : 1996-02-23
Fair Division written by Steven J. Brams and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-23 with Business & Economics categories.
Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.
Cake Cutting Algorithms
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Author : Jack Robertson
language : en
Publisher: A K Peters/CRC Press
Release Date : 1998-07-15
Cake Cutting Algorithms written by Jack Robertson and has been published by A K Peters/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-15 with Mathematics categories.
The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations. Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940s, the concept has been widely popularized. This book gathers into one readable and inclusive source a comprehensive discussion of the state of the art in cake-cutting problems for both the novice and the professional. It offers a complete treatment of all cake-cutting algorithms under all the considered definitions of "fair" and presents them in a coherent, reader-friendly manner. Robertson and Webb have brought this elegant problem to life for both the bright high school student and the professional researcher.
Divide And Conquer
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Author : Steven J. Brams
language : en
Publisher:
Release Date : 2010
Divide And Conquer written by Steven J. Brams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
We analyze a class of proportional cake-cutting algorithms that use a minimal number of cuts (n-1 if there are n players) to divide a cake that the players value along one dimension. While these algorithms may not produce an envy-free or efficient allocation - as these terms are used in the fair-division literature - one, divide-and-conquer (D&C), minimizes the maximum number of players that any single player can envy. It works by asking n >= 2 players successively to place marks on a cake - valued along a line - that divide it into equal halves (when n is even) or nearly equal halves (when n is odd), then halves of these halves, and so on. Among other properties, D&C ensures players of at least 1/n shares, as they each value the cake, if and only if they are truthful. However, D&C may not allow players to obtain proportional, connected pieces if they have unequal entitlements. Possible applications of D&C to land division are briefly discussed.
Stacs 2003
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Author : Helmut Alt
language : en
Publisher: Springer
Release Date : 2003-07-01
Stacs 2003 written by Helmut Alt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Computers categories.
This book constitutes the refereed proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2003, held in Berlin, Germany in February/March 2003. The 58 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 253 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, logic in computer science, as well as current challenges like biological computing, quantum computing, and mobile and net computing.
Economics And Computation
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Author : Jörg Rothe
language : en
Publisher: Springer
Release Date : 2015-08-18
Economics And Computation written by Jörg Rothe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-18 with Business & Economics categories.
This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.
How To Think About Algorithms
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Author : Jeff Edmonds
language : en
Publisher: Cambridge University Press
Release Date : 2008-05-19
How To Think About Algorithms written by Jeff Edmonds and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-19 with Computers categories.
This textbook, for second- or third-year students of computer science, presents insights, notations, and analogies to help them describe and think about algorithms like an expert, without grinding through lots of formal proof. Solutions to many problems are provided to let students check their progress, while class-tested PowerPoint slides are on the web for anyone running the course. By looking at both the big picture and easy step-by-step methods for developing algorithms, the author guides students around the common pitfalls. He stresses paradigms such as loop invariants and recursion to unify a huge range of algorithms into a few meta-algorithms. The book fosters a deeper understanding of how and why each algorithm works. These insights are presented in a careful and clear way, helping students to think abstractly and preparing them for creating their own innovative ways to solve problems.
Algorithms Esa 2002
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Author : Rolf Möhring
language : en
Publisher: Springer
Release Date : 2003-08-02
Algorithms Esa 2002 written by Rolf Möhring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-02 with Computers categories.
This volume contains the 74 contributed papers and abstracts of 4 of the 5 invited talks presented at the 10th Annual European Symposium on Algorithms (ESA 2002), held at the University of Rome “La Sapienza”, Rome, Italy, 17-21 September, 2002. For the ?rst time, ESA had two tracks, with separate program committees, which dealt respectively with: – the design and mathematical analysis of algorithms (the “Design and An- ysis” track); – real-world applications, engineering and experimental analysis of algorithms (the “Engineering and Applications” track). Previous ESAs were held in Bad Honnef, Germany (1993); Utrecht, The Neth- lands (1994); Corfu, Greece (1995); Barcelona, Spain (1996); Graz, Austria (1997); Venice, Italy (1998); Prague, Czech Republic (1999); Saarbruc ̈ ken, Ger- ? many (2000), and Arhus, Denmark (2001). The predecessor to the Engineering and Applications track of ESA was the Annual Workshop on Algorithm En- neering (WAE). Previous WAEs were held in Venice, Italy (1997), Saarbruc ̈ ken, ? Germany (1998), London, UK (1999), Saarbru ̈cken, Germany (2000), and Arhus, Denmark (2001). The proceedings of the previous ESAs were published as Springer LNCS volumes 726, 855, 979, 1284, 1461, 1643, 1879, and 2161. The proceedings of WAEs from 1999 onwards were published as Springer LNCS volumes 1668, 1982, and 2161.
Handbook Of Computational Social Choice
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Author : Felix Brandt
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-25
Handbook Of Computational Social Choice written by Felix Brandt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-25 with Business & Economics categories.
A comprehensive survey of computational aspects of collective decisions for graduate students, researchers, and professionals in computer science and economics.