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Evolutionary dynamics of
the cryptocurrency market
Abeer ElBahrawy
Laura Alessandretti, Anne Kandler, Romualdo
Pastor-Satorras, Andrea Baronchelli
Bitcoin
Digital currency
Bitcoin
Invented by Satoshi Nakamoto in 2008
Digital currency
Bitcoin
Invented by Satoshi Nakamoto in 2008
Digital currency
Public ledger
Bitcoin
Invented by Satoshi Nakamoto in 2008
Digital currency
Cryptography
Public ledger
Bitcoin
Challenging technologies
Bitcoin
Challenging technologies
Decentralised
Bitcoin
Challenging technologies
Decentralised
Not regulated
Bitcoin
Challenging technologies
Growing market
Decentralised
Not regulated
Growing market
Growing market
Growing market
Growing market
Growing market
Growing market 1302
Our focus
Global view of the market dynamics
Our focus
The evolution of the market
Global view of the market dynamics
Our focus
The evolution of the market
Competition between cryptocurrencies
Global view of the market dynamics
Data
Data
Price collected from 10328 exchange platforms.
Data
Circulating number of coins.
Data
Trading volume across the platforms.
Data
The product of the price and the supply,
Data
Market share: normalised market cap,
Results
Expanding market
Bitcoin is losing
Bitcoin is losing
Stable properties
Stable properties
Stable properties
Stable properties
Stable properties
Probability
distribution of
the market
share
Stable properties
Probability
distribution of
the market
share
Stable properties
Ranking
distribution
Stable properties
Ranking
distribution
Stable properties
Average life
time per rank
Stable properties
Average life
time per rank
Stable properties
Turnover for the
top ranked
Stable properties
Turnover for the
top ranked
Stable properties
can we model
these dynamics?
Stable properties
progeny
distribution
can we model
these dynamics?
The neutral model
The progeny distribution
• Progeny distribution: the progeny distribution logs the
abundances of species which produce new individuals
over a fixed period of time
k
The neutral model
• Progeny distribution: the progeny distribution logs the
abundances of species which produce new individuals
over a fixed period of time
• For the neutral model, it’s well established that it follows
a power law distribution1,2,3
k
1. RA Bentley, MW Hahn, and SJ Shennan. Random drift and culture change. Proceedings of the Royal Society of London B: Biological Sciences, 271 (1547):1443–1450, 2004.
2. MW Hahn and RA Bentley. Drift as a mechanism for cultural change: an example from baby names. Proceedings of the Royal Society of London B: Biological Sciences, 270(Suppl 1):S120–S123, 2003.
3. LS Premo. Cultural transmission and diversity in time-averaged assemblages. Current Anthropology, 55(1):105–114, 2014.
P(x) ⇠ x ↵
The neutral model
• The exponent is shown to be equal to
1. James P O’Dwyer and Anne Kandler. Inferring processes of cultural transmission: the critical role of rare variants in distinguishing neutrality from
novelty biases
P(x) ⇠ x 3/2
The neutral model
Interactions between species are equivalent on an
individual ‘per capita’ basis
The neutral model
Interactions between species are equivalent on an
individual ‘per capita’ basis
Sampling theory
The neutral model
Interactions between species are equivalent on an
individual ‘per capita’ basis
Sampling theory
Genetics, English words, technology patents citation …
1. Motoo Kimura.The neutral theory of molecular evolution. Cambridge University Press, 1983.
2. Damian Ruck, R Alexander Bentley,Alberto Acerbi, Philip Garnett, and Daniel J Hruschka. Neutral evolution and turnover over centuries of english
word popularity. arXiv preprint arXiv:1703.10698, 2017.
3. R Alexander Bentley, Matthew W Hahn, and Stephen J Shennan. Random drift and culture change. Proceedings of the Royal Society of London B: Biological
Sciences, 271(1547):1443–1450, 2004.
t = 0
The neutral model
5
2
7
t = 0
The neutral model
5
2
7
t = 0 t = 1
The neutral model
5
2
7
t = 0 t = 1
The neutral model
5
2
7
1
8
3
1
1
t = 0 t = 1
The neutral model
5
2
7
1
8
3
1
1
t = 0 t = 1
3
15
8
1
1
Progeny
distribution
The neutral model
1
7
3
1
2
5
2
7
1
8
3
1
1
t = 0 t = 1 t = 2
3
15
8
1
1
3
22
11
3
2
1
Progeny
distribution
The neutral model
How is it relevant?
The mapping
The mapping
CryptocurrenciesSpecies ( )m
The mapping
CryptocurrenciesSpecies ( )m
Individuals ( ) DollarsN
The mapping
CryptocurrenciesSpecies ( )m
Individuals ( ) DollarsN
Generation ( ) One weekt
The mapping
CryptocurrenciesSpecies ( )m
Individuals ( ) DollarsN
Mutation ( )
A new
cryptocurrency
enters the market
µ
Generation ( ) One weekt
Initial conditions
Bitcoin
One species
m = 1
Initial conditions
Bitcoin
One species
m = 1
Population size
N = 105
One individual maps to
$100,000
Initial conditions
Bitcoin
One species
m = 1
Population size
N = 105
One individual maps to
$100,000
µ = 7/N
Mutation rate 7 new cryptocurrencies
every week
model informing
new species enter with
average number of
individuals = 15
average market cap
introduced by new
cryptocurrencies
1500,0000
Neutral model and data
What does it mean?
What does it mean?
Technological differences may not be
a steering factor in the performance
What does it mean?
market share
What does it mean?
Technological differences may not be
a steering factor in the performance
Bitcoin domination
What does it mean?
Bitcoin domination
Our focus
The evolution of the market
Competition between cryptocurrencies
Global view of the market dynamics
Our focus
Looking at the entire market around 1500
cryptocurrencies
Our focus
Looking at the entire market around 1500
cryptocurrencies
Market dynamics and properties from April
2013 till May 2017
Our focus
Looking at the entire market around 1500
cryptocurrencies
Market dynamics and properties from April
2013 till May 2017
Modelling the competition dynamics using the
neutral model
Next steps
Market inefficiency
What are the drivers?
Thanks!
abeeryehia19.wixsite.com /abeer
abeer.yehia19@gmail.com
Evolutionary dynamics of the cryptocurrency market
Evolutionary dynamics of the cryptocurrency market

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Evolutionary dynamics of the cryptocurrency market