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DAO Mining Rewards Calculations
Within an epoch, the number of ALD tokens accumulated for Talent Hunters is
$TI$
ALD，the number of ALD tokens accumulated for Boule Members is
$TD$
ALD，and
$TS$
ALD for Strategy Developers. The allocation of ALD rewards to each individual are calculated based on their contribution.
Let
$M_i$
denote the profit from the liquidity pool
$i=1,2,...,n.$
.The profit equals the product of the number of tokens mined during the epoch and 2-week（100,000 block） TWAP of the token prices.
Let
$V_{i,j}$
denote the vote of the Boule Member ,
$j=1,...,N$
...on pool
$i$
. Suppose for each pool
$i$
, there are
$m_i^+$
$m_i^-$
Let
$V_{i,j}=\left\{\begin{array}{l} 1/m_i^+, \ if \ Boule\ Member\ j\ voted\ yes\ on\ pool\ i;\\ 0, \ if \ did\ not\ vote;\\ -(1/m_i^-)(1/2)^{max(k_i-1,0)}, \ if \ Boule\ Member\ j \ voted\ no\ on\ pool\ i; \end{array}\right.$
Denote the average value of adjusted profits by
$\bar{M}=\frac{1}{n}\sum_{i=1}^{n}M_i\delta^{\min\{k_i,9\}}$
and define the contribution value of Boule Member
$j$
by
$P_j=\sum_{i=1}^{n}\max\{0,V_{ i,j}\cdot(M_i\delta^{\min\{k_i,9\}}-\bar{M})\}$
where
$\delta$
= 0.8 is the decay rate and
$k_i$
is the time (months) elapsed since pool
$i$
was listed.
The number of ALD tokens Boule Member
$j$
shall obtain in the epoch
$TD_j=TD\cdot\frac{P_j}{\sum_{j=1}^{N} P_j}$
Note: the denominator may be zero with very small probability. For such case, let .
$TD_j=1/N.$
Same for the formula below.
The number of ALD tokens Talent Hunter k shall obtain in the epoch
$TI_k=TI\cdot \frac{\sum_{i=1}^{n_k}P_{j_i}}{\sum_{j=1}^{N} P_j}$
where
$P_{j_i}$
is the contribution of Boule Member
$j_i, i=1,2,...n_k,$
, who was invited by Talent Hunter k.
The number of ALD tokens Strategy Developer of pool i shall obtain in the epoch
$TS_i=TS\cdot\frac{M_i\delta^{k_i}}{\sum_{i=1}^{n} M_i\delta^{k_i}}$

# For example

We have 3 Boule Members (Alice, Bob and Susan), they voted for 3 projects (A, B and C). A, B and C have been listed on AladdinDAO for 80 days, 50 days and 20 days respectively. In this epoch, A, B and C have generated $1m,$2m and \$3m profit for Aladdin users. DAO Mining releases 16.8/per block, total 1,680,000 ALD per epoch (100,000 block). Based on the above algorithms, below charts show the allocation of ALD rewards from the Boule Member incentives and Talent Hunter incentives.