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- The bonding curve is a function of quantities of tokens available in the pool, so large transactions will result in price slippage. A self-stabilizing bonding curve should generate relative token prices that make the token type in low supply prohibitively expensive to acquire (and vice versa). When the relative price in a pool is different from other trading venues, arbitrageurs can act to restore price parity. One popular example of a bonding curve is the constant product function (?? = ?) where ? and ? are quantities of two tokens in a pool and ? is a constant. For given quantities ? and ?, the exchange rate is the ratio of the two tokens. This function was first suggested by Vitalik Buterin (co-founder of the Ethereum blockchain) in a blog post in 2016,35 and further developed by Hayden Adams into Uniswap protocol in 2018.
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