Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/662
Title: Social Choice and Max-Plus Algebra
Authors: Roy, Debdatta Sinha
Keywords: Mathematics
Algebra
Social Choice
Social Choice Theory
Max-Plus Algebra
Issue Date: 26-Jun-2015
Publisher: IISER-M
Abstract: This THESIS is divided into three parts. Part I deals with Social Choice and the negative results given by Gibbard-Satterthwaite theorem in the de- terministic case and Gibbard's theorem in the randomized case and tries to fix it by weakening the notion of First order stochastic dominance (FOSD) strategy-proofness. Part II makes us familiar with Max-Plus Algebra start- ing with a motivating example of its application and then focusing on the theory of solving of linear equations. Part III tries to bring together Social Choice and Max-Plus Algebra by modelling a situation in Social Choice by linear equations in Max-Plus Algebra.
URI: http://hdl.handle.net/123456789/662
Appears in Collections:MS-09

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