Correction to: Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values

1 Correction to: Theory and Decision https://doi.org/10.1007/s11238-020-09781-1

In Sect. 3.3, the terms “one-person” and “(n − 1)-person” were incorrectly updated by mistake during the correction stage in the online published article. The correct sentences are given below:

Proportionately decreasing redistribution in one-person unanimity games (PDR¹):

For any $(N,u_{i} ),(M,u_{j} ) \in G$, with $i,k \in N$, $i \ne k$, $2\, \le \,|N|$, $j,\ell \in M$, $j \ne \ell$, and $2\; \le \;|M|$, $|N|f_{k} (N,u_{i} ) = |M|f_{\ell } (M,u_{j} )$.

Proportionately decreasing redistribution in $\left( {{{n}} - {1}} \right)$-person unanimity games (PDR$^{n - 1}$): For any $(N,u_{{N{ \setminus }i}} ),(M,u_{{M{ \setminus }j}} ) \in G$, with $i \in N$, $3\; \le \;|N|$, $j \in M$, and $3\; \le \;|M|$, $|N|f_{i} (N,u_{{N{ \setminus }i}} ) = |M|f_{j} (M,u_{{M{ \setminus }j}} )$.

The original article has been corrected accordingly.

We apologize for the error introduced during the production process.