Book contents
- Frontmatter
- Background and Motivation
- 1 Introduction and Summary of the Main Results
- 2 Preliminary Concepts and Basic Results
- 3 Representations of Committees
- 4 Strong and Dynamic Representations
- 5 Exactly and Strongly Consistent Anonymous Social Choice Functions
- 6 Effectivity Functions and Implementation
- 7 Concluding Remarks
- References
- Author Index
- Subject index
1 - Introduction and Summary of the Main Results
Published online by Cambridge University Press: 05 January 2013
- Frontmatter
- Background and Motivation
- 1 Introduction and Summary of the Main Results
- 2 Preliminary Concepts and Basic Results
- 3 Representations of Committees
- 4 Strong and Dynamic Representations
- 5 Exactly and Strongly Consistent Anonymous Social Choice Functions
- 6 Effectivity Functions and Implementation
- 7 Concluding Remarks
- References
- Author Index
- Subject index
Summary
This chapter is mainly devoted to a survey of Chapters 2-6. Section 1.1 consists of an almost self-contained presentation of our theory. In particular, it contains a detailed formulation of the central problems that we try to solve in this book and the definitions of the main solution concepts. The reader will get a fairly good picture of the qualitative side of our theory by reading the survey. We conclude in Section 1.2 with brief remarks on possible uses of our results.
Survey
This section presents a summary of the most important results of our study. The main problems that we try to solve and the key solution concepts are presented independent of the following chapters. This should enable the reader to get a fairly good idea of the nature of this book. However, it should be mentioned that only the most important theorems are mentioned in this chapter. Moreover, in order to keep this section as readable as possible, we refrain from discussing proofs. Thus, in order to become familiar with our techniques, one has to look at the proofs of the main theorems. Finally, it should be remembered that we have written the survey as an almost self-contained description of our theory. Hence, for the sake of clarity and briefness, the order in which the various topics are discussed in the book has been slightly changed; however, this has not diminished the usefulness of the survey.
- Type
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- Information
- Game Theoretic Analysis of Voting in Committees , pp. 8 - 19Publisher: Cambridge University PressPrint publication year: 1984