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A new impossibility result for random assignments

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  • Feizi, Mehdi
  • Ramezanian, Rasoul

Abstract

We know that ex-post Pareto efficiency is possible with strategy-proofness and weak envy-freeness while ordinally efficiency is incompatible with them. We strengthen this impossibility for random assignments and show that it prevails if ordinal efficiency is weakened to robust ex-post Pareto efficiency, an intermediate notion of efficiency weaker than ordinal efficiency and stronger than ex-post Pareto efficiency. An assignment is robust ex-post Pareto efficient whenever for all of its lottery decomposition, each deterministic assignment in its support is Pareto efficient.

Suggested Citation

  • Feizi, Mehdi & Ramezanian, Rasoul, 2023. "A new impossibility result for random assignments," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    • Handle: RePEc:eee:mateco:v:107:y:2023:i:c:s0304406823000435
    DOI: 10.1016/j.jmateco.2023.102850
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    References listed on IDEAS

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    1. Youngsub Chun & Kiyong Yun, 2020. "Upper-contour strategy-proofness in the probabilistic assignment problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 667-687, April.
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    7. Erdil, Aytek, 2014. "Strategy-proof stochastic assignment," Journal of Economic Theory, Elsevier, vol. 151(C), pages 146-162.
    8. Ramezanian, Rasoul & Feizi, Mehdi, 2022. "Robust ex-post Pareto efficiency and fairness in random assignments: Two impossibility results," Games and Economic Behavior, Elsevier, vol. 135(C), pages 356-367.
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