There is a lot to do in Humankind, after all, you are leading your empire through several cultures and several eras. Along the way, you can accomplish different tasks in each era. One of these is Competitive Deeds.
These are several deeds that can be completed as you play. Each empire will compete for these deeds and while typically only one empire can achieve each Competitive Deed, two empires can do so. They must both share the same map through diplomacy and will be able to complete deeds discovered as they both would discover them at the same time. Each Competitive Deed is worth Fame so you should strive to achieve as many as you can.
Competitive Deeds
For more information on Humankind, check out How to improve stability and stop a Revolt in Humankind and How to disband units in Humankind on Pro Game Guides.
