The Geometry of Efficient Fair Division

The Geometry of Efficient Fair Division
Author: Julius B. Barbanel
Publisher: Cambridge University Press
Total Pages: 480
Release: 2005-01-24
Genre: Mathematics
ISBN: 9781139444392

What is the best way to divide a 'cake' and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large as every other player's piece?). He focuses exclusively on abstract existence results rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates results concerning the existence of efficient and fair partitions.

Fair Division

Fair Division
Author: Steven J. Brams
Publisher: Cambridge University Press
Total Pages: 292
Release: 1996-02-23
Genre: Business & Economics
ISBN: 9780521556446

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.

The New Palgrave Dictionary of Economics

The New Palgrave Dictionary of Economics
Author:
Publisher: Springer
Total Pages: 7493
Release: 2016-05-18
Genre: Law
ISBN: 1349588024

The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.

The Oxford Handbook of Public Choice

The Oxford Handbook of Public Choice
Author: Roger D. Congleton
Publisher:
Total Pages: 985
Release: 2019
Genre: Business & Economics
ISBN: 0190469730

"This two-volume collection provides a comprehensive overview of the past seventy years of public choice research, written by experts in the fields surveyed. The individual chapters are more than simple surveys, but provide readers with both a sense of the progress made and puzzles that remain. Most are written with upper level undergraduate and graduate students in economics and political science in mind, but many are completely accessible to non-expert readers who are interested in Public Choice research. The two-volume set will be of broad interest to social scientists, policy analysts, and historians"--

The Oxford Handbook of Political Economy

The Oxford Handbook of Political Economy
Author: Barry R. Weingast
Publisher: Oxford University Press, USA
Total Pages: 1112
Release: 2008-06-19
Genre: Business & Economics
ISBN: 0199548471

Over its lifetime, 'political economy' has had different meanings. This handbook views political economy as a synthesis of the various strands of social science, treating it as the methodology of economics applied to the analysis of political behaviour and institutions.

Internet and Network Economics

Internet and Network Economics
Author: Paul W. Goldberg
Publisher: Springer
Total Pages: 580
Release: 2012-12-05
Genre: Computers
ISBN: 3642353118

This book constitutes the refereed proceedings of the 8th International Workshop on Internet and Network Economics, WINE 2012, held in Liverpool, UK, in December 2012. The 36 revised full papers and 13 revised short papers presented together with the abstracts of 3 papers about work in progress and 3 invited talks were carefully reviewed and selected from 112 submissions. The papers are organized in topical sections on algorithmic game theory; algorithmic mechanism design; auction algorithms and analysis; computational advertising; computational aspects of equilibria; computational social choice; convergence and learning in games; coalitions, coordination and collective action; economics aspects of security and privacy; economics aspects of distributed and network computing; information and attention economics; network games; price differentiation and price dynamics; social networks.

Handbook of Group Decision and Negotiation

Handbook of Group Decision and Negotiation
Author: D. Marc Kilgour
Publisher: Springer Science & Business Media
Total Pages: 473
Release: 2010-08-02
Genre: Mathematics
ISBN: 9048190975

Publication of the Handbook of Group Decision and Negotiation marks a milestone in the evolution of the group decision and negotiation (GDN) eld. On this occasion, editors Colin Eden and Marc Kilgour asked me to write a brief history of the eld to provide background and context for the volume. They said that I am in a good position to do so: Actively involved in creating the GDN Section and serving as its chair; founding and leading the GDN journal, Group Decision and Negotiation as editor-in-chief, and the book series, “Advances in Group Decision and Negotiation” as editor; and serving as general chair of the GDN annual meetings. I accepted their invitation to write a brief history. In 1989 what is now the Institute for Operations Research and the Management Sciences (INFORMS) established its Section on Group Decision and Negotiation. The journal Group Decision and Negotiation was founded in 1992, published by Springer in cooperation with INFORMS and the GDN Section. In 2003, as an ext- sion of the journal, the Springer book series, “Advances in Group Decision and Negotiation” was inaugurated.

The Oxford Handbook of Well-Being and Public Policy

The Oxford Handbook of Well-Being and Public Policy
Author: Matthew D. Adler
Publisher: Oxford University Press
Total Pages: 985
Release: 2016-04-21
Genre: Political Science
ISBN: 0199325820

What are the methodologies for assessing and improving governmental policy in light of well-being? The Oxford Handbook of Well-Being and Public Policy provides a comprehensive, interdisciplinary treatment of this topic. The contributors draw from welfare economics, moral philosophy, and psychology and are leading scholars in these fields. The Handbook includes thirty chapters divided into four Parts. Part I covers the full range of methodologies for evaluating governmental policy and assessing societal condition-including both the leading approaches in current use by policymakers and academics (such as GDP, cost-benefit analysis, cost-effectiveness analysis, inequality and poverty metrics, and the concept of the "social welfare function"), and emerging techniques. Part II focuses on the nature of well-being. What, most fundamentally, determines whether an individual life is better or worse for the person living it? Her happiness? Her preference-satisfaction? Her attainment of various "objective goods"? Part III addresses the measurement of well-being and the thorny topic of interpersonal comparisons. How can we construct a meaningful scale of individual welfare, which allows for comparisons of well-being levels and differences, both within one individual's life, and across lives? Finally, Part IV reviews the major challenges to designing governmental policy around individual well-being.

Fair Share

Fair Share
Author: Isaac Elishakoff
Publisher: Springer Nature
Total Pages: 292
Release:
Genre:
ISBN: 303140419X

Mathematics and Democracy

Mathematics and Democracy
Author: Steven J. Brams
Publisher: Princeton University Press
Total Pages: 390
Release: 2009-12-02
Genre: Science
ISBN: 1400835593

Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.