# Consensus Algorithm¶

Catapult uses a modified proof of stake consensus algorithm called Proof of Stake Plus (PoS+).

In a basic Proof of Stake (PoS) consensus algorithm, the formation of a subsequent block in a blockchain is stochastically assigned to a coin-holding stakeholder of the blockchain weighed by a combination of factors relating to the stakeholders’ wealth.

The improved protocol considers accounts’ stakes in the network and rewards active supporters based on their activity, diminishing the rich-gets-richer problem.

## Factors¶

The algorithm considers the following factors to improve the ecosystem’s health perspective:

• Stake: The total amount of the harvesting mosaic owned. Owners with larger balances should have the incentive to see the ecosystem flourish.
• Transactions: The total amount of fees paid by an account. Being an active account in the network should be encouraged.
• Nodes: The number of times an account is a beneficiary of a block. The network should incentivize active accounts running nodes for securing the network.

All high-value accounts receive an importance score based on these three factors that determines the probability to harvest a block.

The account needs to hold a minimum amount of harvesting mosaics to have importance greater than zero.

## Scores¶

The network calculates the following sub scores for all high-value accounts for each factor:

• Stake Score (S): Percentage of the effective balance of all high value accounts at time P.
• Transaction Score (T): Percentage of total transaction fees among all high-value accounts in period P-1 to P.
• Node Score (N`): Percentage of total beneficiaries among all blocks in P-1 to P.

## Constants¶

Each network can define their own consensus algorithm constants.

Constant Value Description
a 0.05 Network wide contribution of activity score.
p 10000 Constants to tune phasing out of activity score.
t 0.8 Transaction score multiplier.
n 0.2 Node score multiplier.

## Calculation¶

The importance can be calculated for each account in the following manner:

$(1 - a) * (S') + a * || p / (S') * (t * (T') + n * (N')) ||$

The combination of Transaction Score and Node Score has a multiplier effect when Stake Score is low. Conversely, the multiplier effect is insignificant when Stake Score is high.