Updates are available Correction dated 2026-04-17

Article History

Received: 10 July 2025

Accepted: 26 February 2026

First Online: 18 March 2026

Change Date: 9 April 2026

Change Type: Update

Change Details: The original online version of this article was revised because two brackets were added in the sentence inside “Strong fair treatment”. Now, the sentence should read as “Strong fair treatment. For each $v \in \Gamma$, if $i \succ_v j [i \succeq_v j]$ for each $i, j \in N$, then $\varphi_i(v) > \varphi_j(v) [\varphi_i(v) \geq \varphi_j(v)]$”.

Change Date: 17 April 2026

Change Type: Correction

Change Details: A Correction to this paper has been published:

Change Details: https://doi.org/10.1007/s11238-026-10134-7

Declarations

:

: The author declare that they have no Conflict of interest.