Current situation
Currently when you breed horses, the offspring has stats beeing an average of the 2 parents + a random "third set".
This has a consequence: even if you chose the 2 best horses you have as parents, the offspring will be worse/medium/mediocre. Even if you do it again and again, the horses you get will not be better than the first horses you start with.
Proposal of a change:
I would suggest a system of 2 genes per stat in a horse. When you breed 2 horses, you have a consistent genetic transmission to the child: 1 gene per stat inherited from each parent .
You could have a dominant or a recessive character for a gene in a horse.
+ Replace the "random third set" (used when you breed 2 horses) by a mutation mechanics of the inherited stats, (increase or decrease a stat on a gene by a small quantity)
What would be the benefit from the change
You can have fun by breeding horses in order to have better and better horses stats (health, jump height and speed) , by testing your horses and selecting them generation after generation.
That way you would also add a potential pedagogical content about artificial selection and Evolution (it is not a debate, Mankind practices it that way on the domestics animals for ages)
It introduces a real use of the horse breeding mechanics, and also an incentive to breed your horses.
With better horses you can explore the map with more ease
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