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Sequential choice functions and stability problems

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  • 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.

Suggested Citation

  • Vladimir I. Danilov, 2024. "Sequential choice functions and stability problems," Papers 2401.00748, arXiv.org, revised Mar 2024.
    • Handle: RePEc:arx:papers:2401.00748
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    References listed on IDEAS

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    1. Tamás Fleiner, 2003. "A Fixed-Point Approach to Stable Matchings and Some Applications," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 103-126, February.
    2. Danilov, Vladimir I. & Karzanov, Alexander V., 2023. "Stable and meta-stable contract networks," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    3. Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
    4. Charles Blair, 1988. "The Lattice Structure of the Set of Stable Matchings with Multiple Partners," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 619-628, November.
    5. Ahmet Alkan, 2002. "A class of multipartner matching markets with a strong lattice structure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 737-746.
    6. Danilov, V. & Koshevoy, G., 2005. "Mathematics of Plott choice functions," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 245-272, May.
    7. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    8. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "On lexicographic choice," Economics Letters, Elsevier, vol. 171(C), pages 222-224.
    9. Danilov, V., 2021. "Stable systems of schedule contracts," Journal of the New Economic Association, New Economic Association, vol. 51(3), pages 12-29.
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