MEFS but not EEF for chores

Dependencies:

  1. Fair division
  2. Epistemic fairness
  3. Minimum fair share
  4. Envy-freeness

Consider a fair division instance with 6 chores and 3 agents having equal entitlements and additive valuations. Valuations are given by this table:

$j$123456
$v$1( $j$ ) 202020101010
$v$2( $j$ ), $v$3( $j$ ) 201010101010

Then the allocation $A \defeq (\{4, 5, 6\}, \{1\}, \{2, 3\})$ is MEFS but agent 1 is not epistemic-EF-satisfied by $A$.

Dependency for: None

Info:

Transitive dependencies:

  1. /sets-and-relations/countable-set
  2. σ-algebra
  3. Set function
  4. Fair division
  5. Envy-freeness
  6. Epistemic fairness
  7. Minimum fair share