# Tokenomics ### Introduction Change Chain introduces a unique tokenomics model designed to balance network security, incentivize miners, and ensure a fair distribution of tokens over time. This document provides a detailed explanation of the token issuance schedule, including equations and tables to illustrate the mining rewards and token supply dynamics *** ### Total Token Supply * **Total Supply (** $$S$$ **)**: 210,000,000,000,000 tokens (210 trillion) * **Token Allocation**: All tokens are allocated for mining (Proof-of-Work). There is no pre-mine or token reserves allocated for other purposes. *** ## Mining and Token Issuance Schedule ### Key Parameters **Initial Mining Period**: 60 days per cycle **Initial Issuance (** $$M0$$ **​)**: Tokens mined in the first 60-day cycle **Issuance Reduction Rate**: Decreases by 15% every 60 days **Block Time (** $$Tb$$ **​)**: 800ms ### **Blocks per Cycle (** $$Bc$$ **​)** $$ B\_c = \frac{60 \times 24 \times 60 \times 60}{T\_b} $$ ### **Blocks per Cycle Calculation** $$ B\_c = \frac{60 \times 24 \times 60 \times 60}{0.8} = 6,480,000 \text{ blocks} $$ #### Determining Initial Issuance Given that the total issuance in the first 60 days is more than 2% of the total supply and the issuance decreases by 15% every 60 days, we need to calculate $$M0$$ such that the cumulative tokens mined over infinite time do not exceed the total supply. ## **Total Tokens Mined Over Time (** $$TminedT$$ **)** The total tokens mined over all cycles is the sum of a decreasing geometric series: $$ T\_{\text{mined}} = \sum\_{n=1}^{\infty} M\_n = M\_0 \sum\_{n=1}^{\infty} r^{n-1} = \frac{M\_0}{1 - r} \ $$ **Setting Total Mined Tokens Equal to Total Supply** To ensure that the total mined tokens do not exceed the total supply (S): $$ T\_{\text{mined}} = \frac{M\_0}{1 - r} = S \ M\_0 = (1 - r) \times S \ $$ #### Final Token Allocation * **Mining Allocation**: 28,000,000,000,000 tokens (13.33% of total supply) * **Other Allocations**: 182,00,000,000,000 tokens (86.67% of total supply) *** #### Blocks per Cycle ( $$Bc$$ ​) $$ B c ​ # ​ ​ 60×24×60×60 ​ /T b $$ #### Block Reward per Cycle (RnR\_nRn​) $$ R n ​ \=R 0 ​ ×r n−1 $$ * $$R0$$​: Initial block reward * $$r$$: Reduction factor per cycle (r=0.85) * $$n$$: Cycle number (starting from 1) #### Tokens Mined per Cycle ( $$Mn$$ ​)$$M\_n = R\_n \times B\_c = R\_0 \times r^{n-1} \times B\_c$$ $$ M\_n = R\_n \times B\_c = R\_0 \times r^{n-1} \times B\_c $$ #### Total Tokens Mined Over Time ( $$Tmined$$) $$ T\_{\text{mined}} = \sum\_{n=1}^{\infty} M\_n = \frac{M\_0}{1 - r} $$ *** #### Token Issuance Schedule per Cycle Assuming $$M0$$ =4,200,000,000,000 tokens in the first cycle.
Cycle (nnn)Block Reward (RnR_nRn​)Tokens Mined ( Mn)Cumulative Tokens MinedPercentage of Total Supply
1R0M0M0M0S×100%\frac{M_0}{S} \times 100\%SM0​​×100%
2M0×0.85M0×(1+0.85)...
3R0×0.852R_0 \times 0.85^2R0​×0.852M0×0.852M_0 \times 0.85^2M0​×0.852M0×(1+0.85+0.852)M_0 \times (1 + 0.85 + 0.85^2)M0​×(1+0.85+0.852)...
...............
**Calculations:** * **Block Reward (** $$R0$$ **​)**: $$ R\_0 = \frac{M\_0}{B\_c} = \frac{4.200,000,000,000}{518,400} \approx 8,101,851.85 \text{ tokens per block} $$ * **Subsequent Block Rewards**: $$ R\_n = 8,101,851.85 \times 0.85^{n-1} $$ ## Detailed Token Issuance for First 10 Cycles
Cycle (n)Block Reward (Rn)Tokens Mined (Mn)Cumulative Tokens Mined (tokens)Percentage of Total Supply (%)
181,018,518.5242,000,000,000,00042,000,000,000,0002%
268,865,740.7435,700,000,000,00077,700,000,000,0003.7%
358,535,879.6330,345,000,000,000108,045,000,000,0005.15%
449,755,497.6825,793,250,000,000133,838,250,000,0006.37%
542,292,173.0321,924,262,500,000155,762,512,500,0007.41%
635,948,347.0818,635,623,125,000174,398,135,625,0008.30%
730,555,094.0215,840,279,656,250190,238,415,281,2509.06%
825,971,829.9213,464,237,707,813203,702,653,989,0639.70%
922,076,055.4411,444,602,051,641215,147,256,040,70310.25%
1018,764,647.129,727,911,744,895224,875,167,785,59810.71%
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