Pareto dominant
An outcome s* weakly Pareto dominates s′ if:
∀i≤n[ui(s*)≥ui(s′)] |
s* is strongly Pareto optimal if whenever s′ weakly Pareto dominates s*, ∀i≤n[ui(s*)=ui(s′)]. That is, there is no strategy which provides at least as large a payoff to each player and a larger one to at least one. s* is weakly Pareto optimal if there is no s′ such that s′ strongly Pareto dominates s*.
Title | Pareto dominant |
Canonical name | ParetoDominant |
Date of creation | 2013-03-22 12:51:32 |
Last modified on | 2013-03-22 12:51:32 |
Owner | Henry (455) |
Last modified by | Henry (455) |
Numerical id | 6 |
Author | Henry (455) |
Entry type | Definition |
Classification | msc 91A99 |
Defines | strongly Pareto optimal |
Defines | weakly Pareto optimal |
Defines | strongly Pareto dominates |
Defines | strongly Pareto dominant |
Defines | Pareto dominates |
Defines | Pareto dominant |
Defines | weakly Pareto dominates |
Defines | weakly Pareto dominant |