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Published on 17 April 2024
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Liu,J. (2024). The Influences of Ties in Preference on Market Matching. Advances in Economics, Management and Political Sciences,74,234-238.
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The Influences of Ties in Preference on Market Matching

Jingyi Liu *,1,
  • 1 Hangzhou High School

* Author to whom correspondence should be addressed.

https://doi.org/10.54254/2754-1169/74/20241557

Abstract

The ties of preference and priorities are commonly seen and widely used in daily life. When the agent considers the priority order of some selected objects to be the same, the final matching result may be affected. People sometimes require strict preference ranking in order to facilitate the use of matching models, which can cause controversy and dissatisfaction with people in the matching. In order to effectively solve the above problems, this paper surveys what these impacts are and how they affect the final result of matching. According to the analysis, it is proven that when there is a preference of indifference, Pareto efficiency is unstable and the deferred acceptance algorithm cannot be used for market matching. In addition, the Pareto-improving draft mechanism has proven to be powerful without imposing a strict preference. This mechanism can also avoid the complex process and other negative consequences of handing ties arbitrarily.

Keywords

Stable matching, Ties, Preference, Pareto-improving draft

[1]. Li, M. L. (2020). Ties matter: Improving efficiency in course allocation by allowing ties. Journal of Economic Behavior & Organization, 178, 354-384. https://doi.org/10.1016/j.jebo.2020.07.030.

[2]. Erdil, A., & Ergin, H. (2008). What’s the Matter with Tie-Breaking? Improving Efficiency in School Choice. The American Economic Review, 98(3), 669–689. http://www.jstor.org/stable/29730091.

[3]. Kaplow, L. and Shavell, L. (2003). Fairness versus Welfare: Notes on the Pareto Principle, Preferences, and Distributive Justice. The Journal of Legal Studies, 32(1). https://doi.org/10.1086/345679.

[4]. Chang, H. (1999). A Liberal Theory of Social Welfare: Fairness, Utility, and the Pareto Principle. Yale Law Journal, 110(2000a), 173-235.

[5]. Abdulkadiroğlu, A., Pathak, P. A. and Roth, A. E. (2009). Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match. The American Economic Review, 99(5), 1954–1978. http://www.jstor.org/stable/25592543.

[6]. Erdil, A. and Ergin, H. (2017) Two-sided matching with indifferences. Journal of Economic Theory, 171, 268-292. https://doi.org/10.1016/j.jet.2017.07.002.

[7]. Cseh, A. and Heeger, K. (2020). The stable marriage problem with ties and restricted edges. Discrete Optimization, 36, 100571. https://doi.org/10.1016/j.disopt.2020.100571.

[8]. Aziz, H. (2019). Pareto Optimal Allocation under Uncertain Preferences: Uncertainty Models, Algorithms, and Complexity. Artificial Intelligence, 276, 57-78. https://doi.org/10.1016/j.artint.2019.08.002.

Cite this article

Liu,J. (2024). The Influences of Ties in Preference on Market Matching. Advances in Economics, Management and Political Sciences,74,234-238.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 3rd International Conference on Business and Policy Studies

Conference website: https://www.confbps.org/
ISBN:978-1-83558-371-5(Print) / 978-1-83558-372-2(Online)
Conference date: 27 February 2024
Editor:Arman Eshraghi
Series: Advances in Economics, Management and Political Sciences
Volume number: Vol.74
ISSN:2754-1169(Print) / 2754-1177(Online)

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