The Mathematics of Voting and Apportionment: An Introduction (Compact Textbooks in Mathematics) free ebook download.

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The Mathematics of Voting and Apportionment: An Introduction (Compact Textbooks in Mathematics) free ebook download

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Mathematics

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Author(s):	Sherif El-Helaly

Date:	2024	Format:	epub	Language:	English	ISBN/ASIN:	3030147673
Pages:	279	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	7/12/2024 7:55:17 PM

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3030147673 epub
This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics.
The texts three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs  those requiring more complex proofs, such as Arrows theorems on dictatorship, Gibbards theorem on oligarchy, and Grdenfors theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to prove or disprove types.

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Tags: Apportionment Compact Introduction Mathematics Mathematics Textbooks Voting

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