Monotonic Coalitional Game

A coalitional game is monotonic if enlarging a coalition cannot reduce its worth. For coalitions $S \subseteq T \subseteq N$, $$ v(S) \le v(T). $$

This property is weaker than superadditivity in many standard settings but captures the same basic direction: adding players should not make a coalition worse off.

References

• [MSZ Ch.16, Def 16.10] Maschler, Solan, Zamir, Game Theory.