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Sequential choice functions and stability problems

Vladimir I. Danilov

Abstract

The concept of sequential choice functions is introduced and studied. This concept applies to the reduction of the problem of stable matchings with sequential workers to a situation where the workers are linear.

Sequential choice functions and stability problems

Abstract

The concept of sequential choice functions is introduced and studied. This concept applies to the reduction of the problem of stable matchings with sequential workers to a situation where the workers are linear.
Paper Structure (9 sections, 9 equations)

This paper contains 9 sections, 9 equations.

Table of Contents

  1. Introduction
  2. Two constructions of Plott choice functions
  3. Plott choice functions
  4. Sequential choice
  5. Integration of Plott functions
  6. Stability problem
  7. Disaggregation of sequential workers
  8. Discussion
  9. Proofs of Theorems 1 and 2