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This introductory chapter begins by taking note of the recently growing interest in incorporating fairness considerations into an optimization model. This poses the problem of choosing a suitable mathematical formulation of fairness for a particular application. The chapter explains how the book aims to help modelers make this choice, namely, by examining the characteristics of optimal solutions that actually result from using various equity-sensitive social welfare functions as mathematical representations of fairness. The book offers this ex post analysis as an alternative to the classical ex ante derivations of social welfare criteria based on axiomatic and bargaining arguments, although this first chapter provides brief survey of the classical results. It concludes with an overview of the book’s contents.

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Introduction

  • 章节

  • 发表日期：

    2026年

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  • Özgün Elçi,
  • John Hooker,
  • Peter Zhang

摘要

This introductory chapter begins by taking note of the recently growing interest in incorporating fairness considerations into an optimization model. This poses the problem of choosing a suitable mathematical formulation of fairness for a particular application. The chapter explains how the book aims to help modelers make this choice, namely, by examining the characteristics of optimal solutions that actually result from using various equity-sensitive social welfare functions as mathematical representations of fairness. The book offers this ex post analysis as an alternative to the classical ex ante derivations of social welfare criteria based on axiomatic and bargaining arguments, although this first chapter provides brief survey of the classical results. It concludes with an overview of the book’s contents.