Consensus Model
W_i = α × PoI_Score_i + β × PoSp_Score_i + γ × Stake_i
The parameters α=0.3, β=0.3, and γ=0.4 establish a balance between computational contribution, storage provision, and economic stake.
These initial parameters were derived from game-theoretic modeling using the following attack scenarios:
Computational centralization attack
Diminishing returns model based on simulation of 100 nodes with Gini coefficient calculations
Storage hoarding attack
Cost-benefit analysis based on current storage costs with probabilistic verification
Financial attacks
Economic threshold analysis showing a minimum 67% stake attack would require at least 40% computational resources
Computational centralization attack
Diminishing returns model based on simulation of 100 nodes with Gini coefficient calculations
Storage hoarding attack
Cost-benefit analysis based on current storage costs with probabilistic verification
Financial attacks
Economic threshold analysis showing a minimum 67% stake attack would require at least 40% computational resources
Key findings from these simulations show that:
1) When α > 0.25, computational centralization is disincentivized due to diminishing returns.
2) When β > 0.25, storage hoarding becomes economically irrational.
3) When γ < 0.5, pure financial attacks become prohibitively expensive.
These parameters are adjustable through Substrate's governance mechanisms requiring a two-thirds majority vote and a minimum one-week voting period, with changes limited to ±0.05 per adjustment to prevent abrupt security model shifts. Runtime upgrades enable seamless parameter updates without hard forks. State is maintained in Patricia Tries, with root hashes enabling O(log n) Merkle proofs for efficient state verification.
Note: The weightings α=0.3, β=0.3, and γ=0.4 are derived from preliminary game-theoretic simulations designed to balance computational, storage, and economic contributions while deterring centralization and Sybil attacks. These weightings will be adjusted based on testnet data and advanced economic modeling to ensure long-term network security and decentralization.
The Proof Behind Champions
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