國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Domain conditions and social rationality

Jain, Satish Kumar.

Domain conditions and social rationality

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Domain conditions and social rationalityby Satish Kumar Jain.
作者:	Jain, Satish Kumar.
出版者:	Singapore :Springer Singapore :2019.
面頁冊數:	xix, 193 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Social choice.
電子資源:	https://doi.org/10.1007/978-981-13-9672-4
ISBN:	9789811396724$q(electronic bk.)

Domain conditions and social rationality
Jain, Satish Kumar.

Domain conditions and social rationality[electronic resource] /by Satish Kumar Jain. - Singapore :Springer Singapore :2019. - xix, 193 p. :ill., digital ;24 cm.

Chapter 1. Introduction -- Chapter 2. The Preliminaries -- Chapter 3. The Method of Majority Decision -- Chapter 4. The Strict Majority Rule -- Chapter 5. The Class of Semi-Strict Majority Rules -- Chapter 6. Special Majority Rules -- Chapter 7. The Class of Strict Majority Rules -- Chapter 8. The Class of Pareto-Inclusive Strict Majority Rules -- Chapter 9. Social Decision Rules Which Are Simple Games -- Chapter 10. Neutral and Monotonic Binary Social Decision Rules -- Chapter 11. Quasi-Transitive Individual Preferences -- Chapter 12. Summary and Concluding Remarks.

This book primarily focuses on the domain conditions under which a number of important classes of binary social decision rules give rise to rational social preferences. One implication of the Arrow and Gibbard theorems is that every non-oligarchic social decision rule that satisfies the condition of independence of irrelevant alternatives, a requirement crucial for the unambiguity of social choices, and the weak Pareto criterion fails to generate quasi-transitive social preferences for some configurations of individual preferences. The problem is exemplified by the famous voting paradox associated with the majority rule. Thus, in the context of rules that do not give rise to transitive (quasi-transitive) social preferences for every configuration of individual preferences, an important problem is that of formulating Inada-type necessary and sufficient conditions for transitivity (quasi-transitivity) This book formulates conditions for transitivity and quasi-transitivity for several classes of social decision rules, including majority rules, non-minority rules, Pareto-inclusive non-minority rules, and social decision rules that are simple games. It also analyzes in detail the conditions for transitivity and quasi-transitivity under the method of the majority decision, and derives the maximally sufficient conditions for transitivity under the class of neutral and monotonic binary social decision rules and one of its subclasses. The book also presents characterizations of some of the classes of rules for which domain conditions have been derived. The material covered is relevant to anyone interested in studying the structure of voting rules, particularly those interested in social choice theory. Providing the necessary social choice theoretic concepts, definitions, propositions and theorems, the book is essentially self-contained. The treatment throughout is rigorous, and unlike most of the literature on domain conditions, care is taken regarding the number of individuals in the 'necessity' proofs. As such it is an invaluable resource for students of economics and political science, with takeaways for everyone - from first-year postgraduates to more advanced doctoral students and scholars.

ISBN: 9789811396724$q(electronic bk.)

Standard No.: 10.1007/978-981-13-9672-4doiSubjects--Topical Terms:

183788
Social choice.

LC Class. No.: HB846.8 / .J356 2019

Dewey Class. No.: 302.13

Domain conditions and social rationality
LDR:03765nmm a2200325 a 4500 001 568152
003 DE-He213
005 20200131091810.0
006 m d
007 cr nn 008maaau
008 200611s2019 si s 0 eng d
020 $a 9789811396724$q(electronic bk.)
020 $a 9789811396717$q(paper)
024 7 $a 10.1007/978-981-13-9672-4 $2 doi
035 $a 978-981-13-9672-4
040 $a GP $c GP
041 0 $a eng
050 4 $a HB846.8 $b .J356 2019
072 7 $a PBUD $2 bicssc
072 7 $a MAT011000 $2 bisacsh
072 7 $a PBUD $2 thema
082 0 4 $a 302.13 $2 23
090 $a HB846.8 $b .J25 2019
100 1 $a Jain, Satish Kumar. $3 712824
245 1 0 $a Domain conditions and social rationality $h [electronic resource] / $c by Satish Kumar Jain.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a xix, 193 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1. Introduction -- Chapter 2. The Preliminaries -- Chapter 3. The Method of Majority Decision -- Chapter 4. The Strict Majority Rule -- Chapter 5. The Class of Semi-Strict Majority Rules -- Chapter 6. Special Majority Rules -- Chapter 7. The Class of Strict Majority Rules -- Chapter 8. The Class of Pareto-Inclusive Strict Majority Rules -- Chapter 9. Social Decision Rules Which Are Simple Games -- Chapter 10. Neutral and Monotonic Binary Social Decision Rules -- Chapter 11. Quasi-Transitive Individual Preferences -- Chapter 12. Summary and Concluding Remarks.
520 $a This book primarily focuses on the domain conditions under which a number of important classes of binary social decision rules give rise to rational social preferences. One implication of the Arrow and Gibbard theorems is that every non-oligarchic social decision rule that satisfies the condition of independence of irrelevant alternatives, a requirement crucial for the unambiguity of social choices, and the weak Pareto criterion fails to generate quasi-transitive social preferences for some configurations of individual preferences. The problem is exemplified by the famous voting paradox associated with the majority rule. Thus, in the context of rules that do not give rise to transitive (quasi-transitive) social preferences for every configuration of individual preferences, an important problem is that of formulating Inada-type necessary and sufficient conditions for transitivity (quasi-transitivity) This book formulates conditions for transitivity and quasi-transitivity for several classes of social decision rules, including majority rules, non-minority rules, Pareto-inclusive non-minority rules, and social decision rules that are simple games. It also analyzes in detail the conditions for transitivity and quasi-transitivity under the method of the majority decision, and derives the maximally sufficient conditions for transitivity under the class of neutral and monotonic binary social decision rules and one of its subclasses. The book also presents characterizations of some of the classes of rules for which domain conditions have been derived. The material covered is relevant to anyone interested in studying the structure of voting rules, particularly those interested in social choice theory. Providing the necessary social choice theoretic concepts, definitions, propositions and theorems, the book is essentially self-contained. The treatment throughout is rigorous, and unlike most of the literature on domain conditions, care is taken regarding the number of individuals in the 'necessity' proofs. As such it is an invaluable resource for students of economics and political science, with takeaways for everyone - from first-year postgraduates to more advanced doctoral students and scholars.
650 0 $a Social choice. $3 183788
650 1 4 $a Game Theory, Economics, Social and Behav. Sciences. $3 274083
650 2 4 $a Economic Theory/Quantitative Economics/Mathematical Methods. $3 731081
650 2 4 $a Social Choice/Welfare Economics/Public Choice/Political Economy. $3 823768
650 2 4 $a Political Economy/Economic Systems. $3 825350
650 2 4 $a Sociological Theory. $3 677260
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-981-13-9672-4
950 $a Mathematics and Statistics (Springer-11649)