Renting (Rental Reward Pool)

The rental reward pool is a pool of MBLK rewards for owners of Bezogi NFTs. When a player rents a Bezogi in-game, a percentage (to be confirmed) of player earnings are added to the Rental Reward pool. Each rarity of Bezogi pays 10% of its earnings as a tax to all rarer Bezogi in supply.
For example, Common Bezogi pay 10% of earnings to Rare, Epic, Mixed-Breed and Purebred Bezogi. Mixed-Breed Bezogi on the other hand only pay 10% tax to Purebreds. This brings significant additional rental reward value to higher rarity Bezogi on top of their increased power level in-game.
Total earnings of each Bezogi NFT owner can be calculated as follows:
CC
= Total Common Bezogi earnings
RR
= Total Rare Bezogi earnings
EE
= Total Epic Bezogi earnings
MM
= Total Mixed-breed Bezogi earnings
PP
= Total Purebred Bezogi earnings
NcN_c
= Common Bezogi Count (
Nc1N_c≥1
)
NrN_r
= Rare Bezogi Count (
Nr1N_r≥1
)
NeN_e
= Epic Bezogi Count (
Ne1N_e≥1
)
NmN_m
= Mixed-breed Bezogi Count (
Nm1N_m≥1
)
NpN_p
= Purebred Bezogi Count (
Np1N_p≥1
)
OcO_c
= No. of Common Bezogi owned (
Oc0O_c≥0
)
OrO_r
= No. of Rare Bezogi owned (
Or0O_r≥0
)
OeO_e
= No. of Epic Bezogi owned (
Oe0O_e≥0
)
OmO_m
= No. of Mixed Bezogi owned (
Om0O_m≥0
)
OpO_p
= No. of Purebred Bezogi owned (
Op0O_p≥0
)
SS
= Total income of Bezogi Owner
Total earnings can be divided into three parts:
Purebred Earnings (No Tax):
PNpOp\Large \frac{P}{N_p} \cdot O_p
Common, Rare, Epic, Mixed-breed earnings after tax (90%):
0.1((C(Or+Oe+Om+Op)Nr+Ne+Nm+Np)+(R(Oe+Om+Op)Ne+Nm+Np)+(E(Om+Op)Nm+Np)+MOpNp)0.1 \cdot\left(\left(\frac{C(O_r+O_e+O_m+O_p)}{N_r+N_e+N_m+N_p}\right)+\left(\frac{R(O_e+O_m+O_p)}{N_e+N_m+N_p}\right)+\left(\frac{E(O_m+O_p)}{N_m+N_p}\right)+\frac{M \cdot O_p}{N_p}\right)
Common, Rare, Epic, Mixed-breed tax earnings (10%):
S=PNpOp+0.9(CNcOc+RNrOr+ENeOe+MNmOm)+0.1((C(Or+Oe+Om+Op)Nr+Ne+Nm+Np)+(R(Oe+Om+Op)Ne+Nm+Np)+(E(Om+Op)Nm+Np)+MOpNp)\begin{aligned} &S=\frac{P}{N_p} \cdot O_p+0.9 \cdot\left(\frac{C}{N_c} \cdot O_c+\frac{R}{N_r} \cdot O_r+\frac{E}{N_e} \cdot O_e+\frac{M}{N_m} \cdot O_m\right) \\\\ &+0.1 \cdot\left(\left(\frac{C(O_r+O_e+O_m+O_p)}{N_r+N_e+N_m+N_p}\right)+\left(\frac{R(O_e+O_m+O_p)}{N_e+N_m+N_p}\right)+\left(\frac{E(O_m+O_p)}{N_m+N_p}\right)+\frac{M \cdot O_p}{N_p}\right) \end{aligned}