I'll focus on this matter first before attending to other matters. Based on your example, you peg the price by doubling and reducing the amount your user hold? And how is this achievable? Doesn't it imply that you have control of every token circulating?
Price is pegged by adjusting the total supply of BASE correspondent to the peg disruption. That could be a 100% adjustment, 20% adjustment, or even a 1% adjustment.
The team does not have control over the rebases. It is a feature built into the smart contract that affects all tokens in the ecosystem. Anyone, anywhere can call the rebase to trigger at the rebase time.
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Now this is rather ambiguous. On your first illustration with John, you regulate the price by adding more token to John (from 1 BASE to 2 BASE). By this recent illustration, it was the total supply that's affected, while the amount of BASE each member owned is not affected. Which one is correct? Because although they look the same by glance, they're actually extremely different