Evaluating Decentralization in Blockchain
Decentralization refers to distributing control and decision-making throughout a network rather than concentrating it in a single authority.
In contrast to centralized systems, where one organization maintains total control, decentralized blockchains share data across various participants (nodes). Each node retains a copy of the ledger, promoting transparency and minimizing the chances of manipulation or system failure.
A decentralized network in blockchain offers notable benefits:
- Security: By decentralizing control, the risks associated with single points of vulnerability are diminished. Without a centralized governing body, it becomes harder for malicious actors to jeopardize the network.
- Transparency: Every transaction is documented on a public ledger accessible to all users, enhancing trust through transparency. This openness prevents any single entity from altering data without obtaining consent from the network.
- Fault tolerance: Decentralized systems demonstrate increased resilience to failures. Distributing data across numerous nodes ensures that the network can continue to function even if some nodes go offline.
While decentralization is advantageous, it isn’t a static condition. Rather, it exists on a continuum that continuously evolves as network participation, governance frameworks, and consensus mechanisms develop.
And indeed, there’s a measure for this. It’s referred to as the Nakamoto coefficient.
Understanding the Nakamoto Coefficient
The Nakamoto coefficient is a metric designed to quantify the decentralization level of a blockchain network. It indicates the minimum number of independent entities — such as validators, miners, or node operators — that would need to conspire to disrupt or compromise the network’s operations.
This idea was first presented in 2017 by the former chief technology officer at Coinbase and is named after Bitcoin’s pseudonymous creator, Satoshi Nakamoto.
A higher Nakamoto coefficient signifies greater decentralization and security within the blockchain ecosystem. In these networks, authority is more evenly spread among users, making it more difficult for a small group to manipulate or attack the system. Conversely, a lower Nakamoto coefficient reflects a concentration of control among fewer entities, leading to increased risks of centralization and vulnerabilities.
For instance, a blockchain with a Nakamoto coefficient of 1 would be extremely centralized, with one entity able to dictate operations. In contrast, a network characterized by a coefficient of 10 would require at least ten independent entities to collude to achieve control, demonstrating a more secure and decentralized framework.
Did you know? Polkadot’s impressive Nakamoto coefficient can be attributed to its nominated proof-of-stake (NPoS) consensus mechanism, which encourages an even distribution of stakes across numerous validators.
How to Calculate the Nakamoto Coefficient
To calculate this coefficient, several important steps are involved:
- Identify key participants: Begin by pinpointing the main actors in the network, such as mining pools, validators, node operators, or stakeholders. These participants play crucial roles in sustaining the network’s operations and security.
- Evaluate each entity’s control: Next, assess the level of influence each identified entity has over the network’s resources. In proof-of-work (PoW) blockchains like Bitcoin, this means analyzing hashrate distribution among mining pools. For proof-of-stake (PoS) systems, it’s essential to review stake distribution among validators.
- Sum to find the 51% threshold: After analyzing individual controls, rank the entities from highest to lowest based on their influence. Then, cumulatively add their control percentages until the total surpasses 51%. The number of entities needed to reach this threshold indicates the Nakamoto coefficient.

Consider a PoW blockchain with the following distribution among mining pools:
- Mining pool A: 25% (of total hashrate)
- Mining pool B: 20%
- Mining pool C: 15%
- Mining pool D: 10%
- Others: 30%
To calculate the Nakamoto coefficient:
- Start with mining pool A (25%).
- Add mining pool B (25% + 20% = 45%).
- Add mining pool C (45% + 15% = 60%).
In this example, the combined hashrate from mining pools A, B, and C achieves 60%, exceeding the 51% threshold. Hence, the Nakamoto coefficient is 3, indicating that collusion among these three entities could threaten the integrity of the network.
Did you know? Despite Bitcoin being identified for its decentralization, its mining structure is notably centralized, with a current Nakamoto coefficient of 2. This implies that just two mining pools hold control over the majority of Bitcoin’s mining capabilities.
Constraints of the Nakamoto Coefficient
While the Nakamoto coefficient is a beneficial tool for measuring blockchain decentralization, it has certain limitations that should not be overlooked.
For example:
Fixed snapshot
The Nakamoto coefficient offers a fixed snapshot of decentralization, representing the minimum number of entities necessary to compromise a network at a particular moment. However, blockchain networks are inherently dynamic, with the roles and influence of participants shifting due to aspects like staking, changes in mining power or node engagement. As a result, the coefficient may not accurately reflect these temporal changes, which could lead to outdated or misguided evaluations.
Subsystem emphasis
This metric generally concentrates on specific subsystems, like validators or mining pools, potentially overlooking other essential elements of decentralization. Aspects such as the diversity of client software, geographic distribution of nodes, and concentration of token ownership can dramatically affect a network’s decentralization and security. Relying solely on the Nakamoto coefficient might create an incomplete picture.
Diverse consensus mechanisms
Various blockchain networks utilize a range of consensus mechanisms, each affecting decentralization in unique ways. The Nakamoto coefficient may not be uniformly applicable across these different frameworks, necessitating customized approaches for precise measurement.
External factors
External influences, including regulatory actions, technological progress, or market trends, can impact decentralization over time. For instance, regulatory policies in certain areas may influence whether nodes or mining facilities operate, thereby changing the landscape of the network’s decentralization.
The Nakamoto coefficient may overlook such external factors, limiting its overall scope.
In conclusion, while the Nakamoto coefficient is valuable for assessing specific dimensions of blockchain decentralization, it should be considered alongside additional metrics and qualitative analyses to achieve a well-rounded understanding of a network’s decentralization and security.