Skip to main content
About HEC About HEC Faculty & Research Faculty & Research Master’s programs Master’s programs MBA Programs MBA Programs PhD Program PhD Program Executive Education Executive Education Summer School Summer School HEC Online HEC Online About HEC Overview Overview Who
We Are Who
We Are
Egalité des chances Egalité des chances Career
Center Career
Center
International International Campus
Life Campus
Life
Sustainability Sustainability Diversity
& Inclusion Diversity
& Inclusion
Stories Stories The HEC
Foundation The HEC
Foundation
Coronavirus Coronavirus
Faculty & Research Overview Overview Faculty Directory Faculty Directory Departments Departments Centers Centers Chairs Chairs Knowledge Knowledge Master’s programs Master in
Management Master in
Management
MSc International
Finance MSc International
Finance
Specialized
Masters Specialized
Masters
X-HEC
programs X-HEC
programs
Dual-Degree
programs Dual-Degree
programs
Visiting
students Visiting
students
Certificates Certificates Student
Life Student
Life
Student
Stories Student
Stories
MBA Programs MBA MBA Executive MBA Executive MBA TRIUM EMBA TRIUM EMBA PhD Program Overview Overview HEC Difference HEC Difference Program details Program details Research areas Research areas HEC Community HEC Community Placement Placement Job Market Job Market Admissions Admissions Financing Financing Executive Education Executive Masters Executive Masters Executive Certificates Executive Certificates Executive short programs Executive short programs Online Online Companies Companies Executive MBA Executive MBA Summer School Youth Programs Youth Programs Summer programs Summer programs HEC Online Overview Overview Degree Program Degree Program Executive certificates Executive certificates MOOCs MOOCs Summer Programs Summer Programs
Faculty & Research

Research on Cryptocurrency by Ioanid Rosu Published in Management Science

The Finance Department at HEC Paris is pleased to announce that Associate Professor Ioanid Rosu has had his research paper “Evolution of Shares in a Proof-of-Stake Cryptocurrencypublished in Management Science, one of the world’s top management journals. The research is in collaboration with Fahad Saleh from Wake Forest University.

 

ioanid rosu - HEC

Research on the Bitcoin cryptocurrency has raised several concerns regarding its long-run viability, which have led to alternative proposals that seek to generate Bitcoin’s decentralization while avoiding some of its limitations. 

Bitcoin uses a set of governance rules known as Proof-of-Work (PoW), whereby agents to compete to update the blockchain by solving a computational puzzle so that success probabilities depend upon raw computational power. 

An alternative set of governance rules is Proof-of-Stake (PoS), whereby the blockchain is updated by a randomly selected stakeholder, with probability of an investor being drawn equal to the investor's coin share. The PoS protocol involves essentially no direct costs to the stakeholders. However, just as for the PoW protocol, the agent that updates the blockchain receives a coin reward. This reward feature of PoS has led critics across academia and the cryptocurrency press to argue that PoS induces wealth concentration. Intuitively, they argue, if some “rich” investors already own many coins, the coin reward would make them even richer. Also, a smart strategy would be to amass even more coins to increase the probability of being selected.

Professors Rosu and Saleh’s results show that this type of intuition is flawed. Their first main result (which is an application of the Polya’s urn problem in mathematics) is that the coin shares of buy-and-hold investors follow a “martingale”, meaning that their coin share is not expected either to increase or to decrease. Indeed, “rich” investors are more likely to be selected, but if they are not selected, their share also decreases by more than the share of “poor” investors. The coin shares of buy-and-hold investors are stable in the sense that they converge to a well-defined distribution, which in the case of constant rewards is the Dirichlet distribution (or beta distribution, with only two investors). If coin rewards are constant or their growth is not too fast, investor shares are stable in a stricter sense: they remain fairly close to the initial value. Moreover, "poor" investors end up with a more stable share distribution than "rich" investors. The third main result is that investors are indifferent between trading and being buy-and-hold, if the cryptocurrency’s market capitalization is not expected to change. Intuitively, buying more coins increases the probability that the investor becomes "rich", but the coins lose in value because of the dilution effect.
 

Find more details and explanations in the Management Science blog article here

Find more research by Professor Ioanid Rosu on Knowledge@HEC here.