On Liquidity Mining for Uniswap v3
  The recently proposed Uniswap v3 replaces the fungible liquidity provider
token (LP token) into non-fungible ones, making the design for liquidity mining
more difficult. In this paper, we propose a flexible liquidity mining scheme
that realizes the overall liquidity distribution through the fine control of
local rewards. From the liquidity provider's point of view, the liquidity
provision strategy forms a multiplayer zero-sum game. We analyze the Nash
Equilibrium and the corresponding strategy, approximately, deploying the
liquidity proportional to the reward distribution, in some special cases and
use it to guide the general situations. Based on the strategic response above,
such a scheme allows the mining rewards provider to optimize the distribution
of liquidity for the purpose such as low slippage and price stabilization.
