rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Rationality and Operators
    sub title: The Formal Structure of Preferences
  name:
    name part: Cato, Susumu.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 124 p. 1 illus. online resource.
  abstract: This unique book develops an operational approach to preference and rationality as the author employs operators over binary relations to capture the concept of rationality. A preference is a basis of individual behavior and social judgment and is mathematically regarded as a binary relation on the set of alternatives. Traditionally, an individual/social preference is assumed to satisfy completeness and transitivity. However, each of the two conditions is often considered to be too demanding; and then, weaker rationality conditions are introduced by researchers. This book argues that the preference rationality conditions can be captured mathematically by “operators,” which are mappings from the set of operators to itself. This operational approach nests traditional concepts in individual/social decision theory and clarifies the underlying formal structure of preference rationality. The author also applies his approach to welfare economics. The core problem of ‘new welfare economics,’ developed by Kaldor, Hicks, and Samuelson, is the rationality of social preference. In this book the author translates the social criteria proposed by those three economists into operational forms, which provide new insights into welfare economics extending beyond ‘new welfare economics.’.
  table of contents: 1 Introduction -- 1.1 The Aim of This Book -- 1.2 Rationality of Preference -- 1.3 An Operational Interpretation of Theorems of Welfare Economics -- 1.4 What Can the Operational Approach Achieve? -- 1.5 A Historical Perspective -- 1.6 The Structure of This Book -- 2 Preferences and Operators -- 2.1 Introduction -- 2.2 Binary Relations -- 2.3 Basic Results on Operators -- 2.4 Closure Operators -- 2.5 Concluding Remarks -- 3 Rationality and Operators -- 3.1 Introduction -- 3.2 Properties of Binary Relations -- 3.3 Choice Functions -- 3.4 Extensions -- 3.5 Concluding Remarks -- 4 Operations over the Set of Binary Relations -- 4.1 Introduction -- 4.2 Basic Results -- 4.3 Direct Operations over the Set of Binary Relations -- 4.4 Indirect Operations over the Set of Binary Relations -- 4.5 Concluding Remarks -- 5 Application to Welfare Economics -- 5.1 Introduction -- 5.2 Setting -- 5.3 Paretian Welfare Economics -- 5.4 The Kaldor-Hicks Compensation Principle -- 5.5 Bergsonian-Samuelson Approach of Welfare Economics -- 5.6 Concluding Remarks -- 6 Conclusion: Beyond Ordinal Operators -- 6.1 More Applications -- 6.2 Operators for Ordinal Preferences -- 6.3 Operators for Cardinal Preferences -- 6.4 Final Remarks -- Index.
  note: by Susumu Cato.
  subject:
    topic: Economic theory
  subject:
    topic: Welfare economics
  subject:
    topic: Economics
  subject:
    topic: Social Choice/Welfare Economics/Public Choice
  subject:
    topic: Economic Theory/Quantitative Economics/Mathematical Methods
  classification: HB846-HB846.8
  classification: 302.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Economics
  identifier: 9789811018961
  identifier: http://dx.doi.org/10.1007/978-981-10-1896-1
  record info:
    record creation date: 160816
    record change date: 20160816070608.0
    record identifier: 978-981-10-1896-1