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We investigate the structure of the currencies (systems of coins) for which the greedy change-making algorithm always finds an optimal solution (that is, a one with minimum number of coins). We present a series of necessary conditions that…

Combinatorics · Mathematics 2010-07-26 Michal Adamaszek , Anna Niewiarowska

Cryptocurrencies are examined through the asset flow equations and experimental asset markets. Since tangible value of a typical cryptocurrency is non-existent, the theory suggests that price will gravitate toward liquidity value, i.e., the…

Mathematical Finance · Quantitative Finance 2018-02-28 Carey Caginalp , Gunduz Caginalp

The Coin Change problem, also known as the Change-Making problem, is a well-studied combinatorial optimization problem, which involves minimizing the number of coins needed to make a specific change amount using a given set of coin…

Computational Complexity · Computer Science 2024-11-28 Shreya Gupta , Boyang Huang , Russell Impagliazzo

Cryptocurrencies such as Bitcoin and Ethereum have recently gained a lot of popularity, not only as a digital form of currency but also as an investment vehicle. Online marketplaces and exchanges allow users across the world to convert…

Discrete Mathematics · Computer Science 2018-07-17 Francesco Bortolussi , Zeger Hoogeboom , Frank W. Takes

We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential,…

Statistical Mechanics · Physics 2009-11-07 Naoki Kozuki , Nobuko Fuchikami

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

General Finance · Quantitative Finance 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

We propose a novel payment mechanism for use by victims of large-scale conflict or natural disasters to conduct critical economic transactions and rebuild damaged infrastructure in the absence of both cash and traditional electronic payment…

Computers and Society · Computer Science 2023-10-10 Geoffrey Goodell

This study provides a practical introduction to high-frequency trading in blockchain-based currency markets. These types of markets have some specific characteristics that differentiate them from the stock markets, such as a large number of…

General Economics · Economics 2023-04-19 Vittorio Astarita

As digital goods and services become an integral part of modern day society, the demand for a standardized and ubiquitous form of digital currency increases. And it is not just about digital goods; the adoption of electronic and mobile…

Computers and Society · Computer Science 2015-02-10 Sowmyan Jegatheesan , Sabbir Ahmed , Austin Chamney , Nour El-kadri

We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an…

Optimization and Control · Mathematics 2025-11-24 Christopher King , Homayoun Hamedmoghadam , Christos G. Cassandras , Fabian R. Wirth , Robert N. Shorten

We consider the problem of social choice when transfers between agents are possible. This includes several canonical applications: public-good provision, management of a common resource, settlement of debts, and division of goods. The…

Theoretical Economics · Economics 2025-12-19 Gregorio Curello , Sam Jindani

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity1 traded in the market, at each instant of time, is considered to be an…

General Finance · Quantitative Finance 2012-12-03 Belal E. Baaquie

In the context of fair division, the concept of price of fairness has been introduced to quantify the loss of welfare when we have to satisfy some fairness condition. In other words, it is the price we have to pay to guarantee fairness.…

Computer Science and Game Theory · Computer Science 2024-02-27 Karen Frilya Celine , Muhammad Ayaz Dzulfikar , Ivan Adrian Koswara

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

Valuation and parity formulas for both European-style and American-style exchange options are presented in a general financial model allowing for jumps, possibility of default and "bubbles" in asset prices. The formulas are given via…

Pricing of Securities · Quantitative Finance 2014-12-02 Constantinos Kardaras

Considering the sequential clearing of energy and reserves in Europe, enabling inter-area reserve exchange requires optimally allocating inter-area transmission capacities between these two markets. To achieve this, we provide a…

Optimization and Control · Mathematics 2021-07-14 Orcun Karaca , Stefanos Delikaraoglou , Maryam Kamgarpour

We discuss how minimal financial market models can be constructed by bridging the gap between two existing, but incomplete, market models: a model in which a population of virtual traders make decisions based on common global information…

Trading and Market Microstructure · Quantitative Finance 2008-12-16 Andy Kirou , Blazej Ruszczycki , Markus Walser , Neil F. Johnson

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get a better insight of phenomena that emerge…

Multiagent Systems · Computer Science 2015-04-03 Klaus Jaffe

We study dynamics of a simulated world with stock and money, driven by the externally given processes which we refer to as sentiments. The considered sentiments influence the buy/sell stock trading attitude, the perceived price uncertainty,…

Trading and Market Microstructure · Quantitative Finance 2017-07-26 Mikhail Goykhman

Cryptocurrencies came to the world in the recent decade and attempted to offer a new order where the financial system is not governed by a centralized entity, and where you have complete control over your account without the need to trust…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-26 Asa Dan