{"title":"Donald G Saari","description":null,"products":[{"product_id":"chaotic-elections-book-donald-g-saari-9780821828472","title":"Chaotic Elections!","description":"Shows that the fundamental problems with the 2000 presidential election are not with the courts, recounts or defective ballots, but are caused by the way Americans vote for president. This book shows how mathematics can help to identify and characterize a large number of paradoxical situations that result from the choice of a voting procedure.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49559164715281,"sku":"GOR008626506","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50763218518289,"sku":"CIN0821828479G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51719154303249,"sku":"CIN0821828479VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":51768933187857,"sku":"CIN0821828479A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0821828479.jpg?v=1763484504"},{"product_id":"basic-geometry-of-voting-book-donald-g-saari-9783540600640","title":"Basic Geometry of Voting","description":"A surprise is how the complexities of voting theory can be explained and resolved with the comfortable geometry of our three-dimensional world. This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results. As an example, a new profile decomposition quickly resolves two centuries old controversies of Condorcet and Borda, demonstrates, that the rankings of pairwise and other methods differ because they rely on different information, casts series doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow s Theorem predictable, and simplifies the construction of examples. The geometry unifies seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49787953611025,"sku":"CIN3540600647VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50404272242961,"sku":"CIN3540600647G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":50996761493777,"sku":"NIN9783540600640","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52336446538001,"sku":"NLS9783540600640","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":53564333457681,"sku":"CIN3540600647A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3540600647.jpg?v=1750838059"},{"product_id":"mathematics-of-finance-book-donald-g-saari-9783030254421","title":"Mathematics of Finance","description":"This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51063654351121,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51063657398545,"sku":"NIN9783030254421","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51780709056785,"sku":"CIN3030254429G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52130879111441,"sku":"NLS9783030254421","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":52511003574545,"sku":"GOR013190467","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030254429.jpg?v=1750999048"},{"product_id":"decisions-and-elections-book-donald-g-saari-9780521004046","title":"Decisions and Elections","description":"This highly accessible book offers undergraduates, graduates and professionals a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51575702159633,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51575702716689,"sku":"CIN0521004047VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52403346866449,"sku":"NLS9780521004046","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0521004047.jpg?v=1750697982"},{"product_id":"disposing-dictators-demystifying-voting-paradoxes-book-donald-g-saari-9780521516051","title":"Disposing Dictators, Demystifying Voting Paradoxes","description":"We decide by elections, but do we elect who the voters really want? The answer, as we have learned over the last two centuries, is 'not necessarily'. What a negative, frightening assertion about a principal tool of democracy! This negativism has been supported by two hundred years of published results showing how bad the situation can be. This expository, largely non-technical book is the first to find positive results showing that the situation is not anywhere as dire and negative as we have been led to believe. Instead there are surprisingly simple explanations for the negative assertions, and positive conclusions can be obtained.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52451713843473,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52451714466065,"sku":"NLS9780521516051","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521516051.jpg?v=1759362375"},{"product_id":"geometry-of-voting-book-donald-g-saari-9783642486463","title":"Geometry of Voting","description":"Over two centuries of theory and practical experience have taught us that election and decision procedures do not behave as expected. Instead, we now know that when different tallying methods are applied to the same ballots, radically different outcomes can emerge, that most procedures can select the candidate, the voters view as being inferior, and that some commonly used methods have the disturbing anomaly that a winning candidate can lose after receiving added support. A geometric theory is developed to remove much of the mystery of three-candidate voting procedures. In this manner, the spectrum of election outcomes from all positional methods can be compared, new flaws with widely accepted concepts (such as the Condorcet winner) are identified, and extensions to standard results (e.g. Black's single-peakedness) are obtained. Many of these results are based on the profile coordinates introduced here, which makes it possible to see the set of all possible voters' preferences leading to specified election outcomes. Thus, it now is possible to visually compare the likelihood of various conclusions. Also, geometry is applied to apportionment methods to uncover new explanations why such methods can create troubling problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52633987645713,"sku":"NLS9783642486463","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642486463.jpg?v=1761866460"},{"product_id":"decisions-and-elections-book-donald-g-saari-9780521808163","title":"Decisions and Elections","description":"This highly accessible book offers undergraduates, graduates and professionals a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52666009583889,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52666010337553,"sku":"NLS9780521808163","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521808163.jpg?v=1762278820"},{"product_id":"fair-voting-methods-book-donald-g-saari-9780197857212","title":"Fair Voting Methods","description":"Decisions are everywhere--from a group's choice of pizza to a decision on a family vacation to the elections of political leaders. Central to the functioning of our organizations is the belief that these decisions reflect the wishes of voters. Yet most voting rules are unreliable and can lead to unfair outcomes. And, while a large body of academic literature describes the flaws and limitations of standard voting methods, little is known about why they occur.\u003cbr\u003e \u003cbr\u003e In Fair Voting Methods, Donald G. Saari explores the difficulties that have plagued social choice theory for over seventy-five years. Focusing on ranked choice voting and group decision-making, Saari expands on Arrow's impossibility theorem and presents a more precise statement: all standard voting rules either fail to always rank the candidates to determine who is preferred to whom, or the voting outcomes can result in inferior choices that are not what the voters wanted. Saari then identifies and resolves the structures that negatively impact voting systems. While Arrow's seminal result asserted that the problems of standard voting systems are unavoidable, Saari makes a bold and compelling case that there are indeed usable fair voting methods. He introduces one such method that achieves Arrow's objectives of always ranking candidates with outcomes that reflect voters' intent. The book concludes by applying insights from voting theory into other topics where parts are also assembled into wholes, including judgement aggregation, corporate structures, crime prevention, the US Electoral College, and standard scientific procedures.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53727653298449,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":53727653724433,"sku":"NGR9780197857212","price":0.0,"currency_code":"GBP","in_stock":false}]}],"url":"https:\/\/www.worldofbooks.com\/en-au\/collections\/author-books-by-donald-g-saari.oembed","provider":"World of Books ","version":"1.0","type":"link"}