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To maintain blockchain-based services with ensuring its security, it is an important issue how to decide a mining reward so that the number of miners participating in the mining increases. We propose a dynamical model of decision-making for…

Computer Science and Game Theory · Computer Science 2022-04-13 Kosuke Toda , Naomi Kuze , Toshimitsu Ushio

As the core technology behind Bitcoin, Blockchain's decentralized, tamper-proof, and traceable features make it the preferred platform for organizational innovation. In current Bitcoin, block reward is halved every four years, and…

Cryptography and Security · Computer Science 2022-02-22 Xiongfei Zhao , Yain-Whar Si

We examine the problem of dynamic reserving for risk in multiple currencies under a general coherent risk measure. The reserver requires to hedge risk in a time-consistent manner by trading in baskets of currencies. We show that reserving…

Mathematical Finance · Quantitative Finance 2017-12-18 Saul Jacka , Seb Armstrong , Abdel Berkaoui

Cooperative dynamics are common in ecology and population dynamics. However, their commonly high degree of complexity with a large number of coupled degrees of freedom renders them difficult to analyse. Here we present a graph-theoretical…

Dynamical Systems · Mathematics 2020-08-10 Philip Greulich , Benjamin D. MacArthur , Cristina Parigini , Rubén J. Sánchez García

The review introduces the history of cryptocurrencies, offering a description of the blockchain technology behind them. Differences between cryptocurrencies and the exchanges on which they are traded have been shown. The central part…

Statistical Finance · Quantitative Finance 2021-03-10 Marcin Wątorek , Stanisław Drożdż , Jarosław Kwapień , Ludovico Minati , Paweł Oświęcimka , Marek Stanuszek

Blockchain technology has revolutionized financial markets by enabling decentralized exchanges (DEXs) that operate without intermediaries. Uniswap V2, a leading DEX, facilitates the rapid creation and trading of new tokens, which offer high…

Computational Finance · Quantitative Finance 2026-02-18 Manuel Naviglio , Francesco Tarantelli , Fabrizio Lillo

This work builds upon the long-standing conjecture that linear diffusion models are inadequate for complex market dynamics. Specifically, it provides experimental validation for the author's prior arguments that realistic market dynamics…

Statistical Finance · Quantitative Finance 2025-09-04 Igor Halperin

We present a measurement study on compositions of Decentralized Finance protocols, which aim to disrupt traditional finance and offer services on top of distributed ledgers, such as Ethereum. DeFi compositions may impact the development of…

Cryptography and Security · Computer Science 2022-10-03 Stefan Kitzler , Friedhelm Victor , Pietro Saggese , Bernhard Haslhofer

This paper presents a unified multi-asset, multi-group asset-flow model that integrates three foundational frameworks from the behavioral finance literature. The model captures the dynamics of financial markets where multiple assets are…

Dynamical Systems · Mathematics 2026-05-28 Mario Cavani

We propose a unified approach to several problems in Stochastic Portfolio Theory (SPT), which is a framework for equity markets with a large number $d$ of stocks. Our approach combines open markets, where trading is confined to the top $N$…

Mathematical Finance · Quantitative Finance 2024-03-08 David Itkin , Martin Larsson

Optimal simple rules for the monetary policy of the first stochastically dominant crypto-currency are derived in a Dynamic Stochastic General Equilibrium (DSGE) model, in order to provide optimal responses to changes in inflation, output,…

Cryptography and Security · Computer Science 2022-10-13 David Cerezo Sánchez

We propose a new financial model, the stochastic volatility model with sticky drawdown and drawup processes (SVSDU model), which enables us to capture the features of winning and losing streaks that are common across financial markets but…

Mathematical Finance · Quantitative Finance 2025-03-20 Yuhao Liu , Pingping Jiang , Gongqiu Zhang

The possibility to analyze everyday monetary transactions is limited by the scarcity of available data, as this kind of information is usually considered highly sensitive. Present econophysics models are usually employed on presumed random…

Physics and Society · Physics 2014-04-01 Dániel Kondor , Márton Pósfai , István Csabai , Gábor Vattay

The Financial system has witnessed rapid technological changes. The rise of Bitcoin and other crypto assets based on Distributed Ledger Technology mark a fundamental change in the way people transact and transmit value over a decentralized…

General Finance · Quantitative Finance 2024-10-02 Arindam Misra

We analyze the risks to bank intermediation following the introduction of a central bank digital currency (CBDC) competing with commercial bank deposits as households' source of liquidity. We revisit the result in the literature regarding…

Theoretical Economics · Economics 2025-06-17 Hanfeng Chen , Maria Elena Filippin

In recent years, electronic retail payment mechanisms, especially e-commerce and card payments at the point of sale, have increasingly replaced cash in many developed countries. As a result, societies are losing a critical public retail…

Computers and Society · Computer Science 2021-05-28 Geoffrey Goodell , Hazem Danny Al-Nakib , Paolo Tasca

This paper fundamentally reformulates economic and financial theory to include electronic currencies. The valuation of the electronic currencies will be based on macroeconomic theory and the fundamental equation of monetary policy, not the…

Theoretical Economics · Economics 2025-07-15 Michael E. Glinsky , Sharon Sievert

This paper evaluates and assesses the risk associated with capital allocation in cryptocurrencies (CCs). In this regard, we take a basket of 27 CCs and the CC index EWCI$^-$ into account. After considering a series of statistical tests we…

Risk Management · Quantitative Finance 2021-05-27 Christoph J. Börner , Ingo Hoffmann , Jonas Krettek , Lars M. Kürzinger , Tim Schmitz

As global governments intensify efforts to operationalize retail central bank digital currencies (CBDCs), the imperative for architectures that preserve user privacy has never been more pronounced. This paper advances an existing retail…

Computers and Society · Computer Science 2024-04-22 William Macpherson , Geoffrey Goodell

Cryptocurrencies and Web3 applications based on blockchain technology have flourished in the blockchain research field. Unlike Bitcoin and Ethereum, due to its unique architectural designs in consensus mechanisms, resource management, and…

Cryptography and Security · Computer Science 2025-09-23 Qian'ang Mao , Jiaxin Wang , Zhiqi Feng , Yi Zhang , Jiaqi Yan