# Price's model

Price's model (named after the physicist Derek J. de Solla Price) is a mathematical model for the growth of citation networks.wikipedia

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### Barabási–Albert model

**BA modelBarabási-Albert modelBarabási–Albert (BA) model**

Price's model belongs to the broader class of network growing models (together with the Barabási–Albert model) whose primary target is to explain the origination of networks with strongly skewed degree distributions.

The algorithm is named for its inventors Albert-László Barabási and Réka Albert and is a special case of an earlier and more general model called Price's model.

### Derek J. de Solla Price

**Derek de Solla PricePrice's lawPrice**

Price's model (named after the physicist Derek J. de Solla Price) is a mathematical model for the growth of citation networks.

### Preferential attachment

**Yule processpreferentialPrice**

This was referred to as cumulative advantage, now also known as preferential attachment.

### Citation network

Price's model (named after the physicist Derek J. de Solla Price) is a mathematical model for the growth of citation networks.

### Simon model

It was the first model which generalized the Simon model to be used for networks, especially for growing networks. The model picked up the ideas of the Simon model reflecting the concept of rich get richer, also known as the Matthew effect.

### The rich get richer and the poor get poorer

**rich get richerrich get richer and poor get poorer ratiothe rich get richer**

The model picked up the ideas of the Simon model reflecting the concept of rich get richer, also known as the Matthew effect.

### Matthew effect

**Matthew effect (Sociology)Matthew PrincipleThe Matthew Effect**

The model picked up the ideas of the Simon model reflecting the concept of rich get richer, also known as the Matthew effect.

### Price

**market pricepricesretail price**

Price took the example of a network of citations between scientific papers and expressed its properties.

### Scale-free network

**scale-free networksscale-freeScale free network**

Price's work is also significant in providing the first known example of a scale-free network (although it was named later).

### World Wide Web

**WebWWWthe web**

His ideas were used to describe many real-world networks such as the Web.

### Master equation

**generalized master equationmaster equations**

To obtain a stationary solution for, first let us express p_{k} using the well-known master equation method, as

### Beta function

**regularized incomplete beta functionincomplete beta functionEuler beta function**

with being the Beta-function.

### Power law

**power-lawscaling lawpower laws**

This is identical to saying that p_k follows a power-law distribution with exponent.