The Geometry Of Efficient Fair Division

Download or read book The Geometry of Efficient Fair Division written by Julius B. Barbanel and published by Cambridge University Press. This book was released on 2005-01-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The New Palgrave Dictionary of Economics written by and published by Springer. This book was released on 2016-05-18 with total page 7493 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Oxford Handbook of Public Choice written by Roger D. Congleton and published by . This book was released on 2019 with total page 985 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--

Download or read book The Oxford Handbook of Political Economy written by Barry R. Weingast and published by Oxford University Press, USA. This book was released on 2008-06-19 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Internet and Network Economics written by Paul W. Goldberg and published by Springer. This book was released on 2012-12-05 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Handbook of Group Decision and Negotiation written by D. Marc Kilgour and published by Springer Science & Business Media. This book was released on 2010-08-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Fair Division written by Steven J. Brams and published by Cambridge University Press. This book was released on 1996-02-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.