Probabilistic view of voting, paradoxes, and manipulation
<p>The Marquis de Condorcet, a French philosopher, mathematician, and political scientist, studied mathematical aspects of voting in the eighteenth century. Condorcet was interested in studying voting rules as procedures for aggregating noisy signals and in the paradoxical nature of ranking th...
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| Format: | Article |
| Language: | English |
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American Mathematical Society (AMS)
2022
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| Online Access: | https://hdl.handle.net/1721.1/145809 |
| _version_ | 1811095727917498368 |
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| author | Mossel, Elchanan |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Mossel, Elchanan |
| author_sort | Mossel, Elchanan |
| collection | MIT |
| description | <p>The Marquis de Condorcet, a French philosopher, mathematician, and political scientist, studied mathematical aspects of voting in the eighteenth century. Condorcet was interested in studying voting rules as procedures for aggregating noisy signals and in the paradoxical nature of ranking three or more alternatives. We survey some of the main mathematical models, tools, and results in a theory that studies probabilistic aspects of social choice. Our journey will take us through major results in mathematical economics from the second half of the twentieth century, through the theory of Boolean functions and their influences and through recent results in Gaussian geometry and functional inequalities.</p> |
| first_indexed | 2024-09-23T16:25:58Z |
| format | Article |
| id | mit-1721.1/145809 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:25:58Z |
| publishDate | 2022 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1458092022-10-13T03:02:35Z Probabilistic view of voting, paradoxes, and manipulation Mossel, Elchanan Massachusetts Institute of Technology. Department of Mathematics <p>The Marquis de Condorcet, a French philosopher, mathematician, and political scientist, studied mathematical aspects of voting in the eighteenth century. Condorcet was interested in studying voting rules as procedures for aggregating noisy signals and in the paradoxical nature of ranking three or more alternatives. We survey some of the main mathematical models, tools, and results in a theory that studies probabilistic aspects of social choice. Our journey will take us through major results in mathematical economics from the second half of the twentieth century, through the theory of Boolean functions and their influences and through recent results in Gaussian geometry and functional inequalities.</p> 2022-10-12T18:34:30Z 2022-10-12T18:34:30Z 2021 2022-10-12T18:29:15Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145809 Mossel, Elchanan. 2021. "Probabilistic view of voting, paradoxes, and manipulation." Bulletin of the American Mathematical Society, 59 (3). en 10.1090/BULL/1751 Bulletin of the American Mathematical Society Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Mathematical Society (AMS) American Mathematical Society |
| spellingShingle | Mossel, Elchanan Probabilistic view of voting, paradoxes, and manipulation |
| title | Probabilistic view of voting, paradoxes, and manipulation |
| title_full | Probabilistic view of voting, paradoxes, and manipulation |
| title_fullStr | Probabilistic view of voting, paradoxes, and manipulation |
| title_full_unstemmed | Probabilistic view of voting, paradoxes, and manipulation |
| title_short | Probabilistic view of voting, paradoxes, and manipulation |
| title_sort | probabilistic view of voting paradoxes and manipulation |
| url | https://hdl.handle.net/1721.1/145809 |
| work_keys_str_mv | AT mosselelchanan probabilisticviewofvotingparadoxesandmanipulation |