Different algorithm among DEXes

## Summary
> Please give a short summary of this research topic.

In the course, we cover Uniswap, but there are several other AMMs, each with its distinct algorithm. What are the differences among these AMMs, and what are their advantages and disadvantages?

## Description
> Please provide a detailed description to the topic.

`Uniswap V2` utilizes the constant product rule, whereas Balancer V2 employs the mean product rule. Are there other types of AMM, and what algorithms do they use? Furthermore, why do they adopt these mechanisms, and what problems are they aiming to solve? Are they focused on capital efficiency, liquidity amount, slippage, or impermanent loss? A comprehensive comparison of these protocols and their designs would focus on their similarities and differences in addressing these concerns.

## Source
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[SoK: Decentralized Exchanges (DEX) with Automated Market Maker (AMM) Protocols](https://arxiv.org/pdf/2103.12732)

[Balancer](https://docs.balancer.fi/)

[Uniswap](https://uniswap.org/)

## Others
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None