Table 1 Properties and rules.

From: How to distribute the European regional development funds through a combination of egalitarian allocations: the constrained equal losses min

Principles/Rules

CELmin

CEL

Equal treatment of equals

Yes

Yes

Anonymity

Yes

Yes

Order preservation

Yes

Yes

Resource monotonicity

Yes

Yes

Super modularity

Yes

Yes

Order preservation under claims variation

Yes

Yes

Min lower bound

Yes

No

Limited consistency

No

Yes

Composition down

No

Yes

Composition up

No

Yes

Reasonable lower bounds on awards

No

No

Invariance under claims truncation

No

No

Self-duality

No

No

Midpoint property

No

No

  1. The table shows the principles satisfied by the rules. The two columns correspond to the CELmin and the CEL rules, and each row shows one of the proposed principles.