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This paper presents a pioneering approach for simulation of economic activity, policy implementation, and pricing of goods in token economies. The paper proposes a formal analysis framework for wealth distribution analysis and simulation of…

General Finance · Quantitative Finance 2024-01-17 Rem Sadykhov , Geoffrey Goodell , Denis de Montigny , Martin Schoernig , Philip Treleaven

Probabilistic model checking can provide formal guarantees on the behavior of stochastic models relating to a wide range of quantitative properties, such as runtime, energy consumption or cost. But decision making is typically with respect…

Logic in Computer Science · Computer Science 2024-03-19 Ingy Elsayed-Aly , David Parker , Lu Feng

There are a multitude of Blockchain-based physical infrastructure systems, operating on a crypto-currency enabled token economy, where infrastructure suppliers are rewarded with tokens for enabling, validating, managing and/or securing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-09 Oguzhan Akcin , Robert P. Streit , Benjamin Oommen , Sriram Vishwanath , Sandeep Chinchali

We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

Decentralized Finance (DeFi) applications introduce novel financial instruments replicating and extending traditional ones through blockchain-based smart contracts. Among these applications, DeFi derivatives protocols enable the creation…

Computer Science and Game Theory · Computer Science 2026-05-05 Luca Pennella , Pietro Saggese , Fabio Pinelli , Letterio Galletta

Asset exchange models (AEMs) provide a physics-inspired framework for studying wealth formation. These models capture wealth distribution dynamics via pairwise money exchanges, yielding steady-state distributions from exponential to…

Physics and Society · Physics 2025-09-30 Joel Wagner , Siew Ann Cheong , Viola Priesemann

The recent book by T. Piketty (Capital in the Twenty-First Century) promoted the important issue of wealth inequality. In the last twenty years, physicists and mathematicians developed models to derive the wealth distribution using discrete…

Probability · Mathematics 2021-07-19 Bertram Düring , Nicos Georgiou , Enrico Scalas

An extension of the idea of state tameness is presented in a dynamic framework. The proposed model for financial markets is rich enough to provide analytical tools that are mostly obtained in models that arise as the solution of SDEs with…

Probability · Mathematics 2008-12-02 Jaime A. Londoño

In this paper, we analyze various Decentralized Finance (DeFi) protocols in terms of their token distributions. We propose an iterative mapping process that allows us to split aggregate token holdings from custodial and escrow contracts and…

General Economics · Economics 2020-12-18 Matthias Nadler , Fabian Schär

This paper introduces a novel concept for addressing non-convexity in the cost functions of distributed economic model predictive control (DEMPC) systems. Specifically, the proposed algorithm enables agents to self-organize into a hierarchy…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Ali C. Kheirabadi , Ryozo Nagamune

Synthetic assets are decentralized finance (DeFi) analogues of derivatives in the traditional finance (TradFi) world - financial arrangements which derive value from and are directly pegged to fluctuations in the value of an underlying…

General Finance · Quantitative Finance 2022-09-22 Abrar Rahman , Victor Shi , Matthew Ding , Elliot Choi

Probabilistic model checking is a useful technique for specifying and verifying properties of stochastic systems including randomized protocols and reinforcement learning models. Existing methods rely on the assumed structure and…

Cryptography and Security · Computer Science 2022-08-02 Lisa Oakley , Alina Oprea , Stavros Tripakis

This paper presents a comprehensive statistical analysis of the Web3 ecosystem, comparing various Web3 tokens with traditional financial assets across multiple time scales. We examine probability distributions, tail behaviors, and other key…

Statistical Finance · Quantitative Finance 2024-12-09 Wei-Ru Chen , A. Christian Silva , Shen-Ning Tung

Blockchain technology relies on decentralization to resist faults and attacks while operating without trusted intermediaries. Although industry experts have touted decentralization as central to their promise and disruptive potential, it is…

Cryptography and Security · Computer Science 2025-06-04 Harang Ju , Ehsan Valavi , Madhav Kumar , Sinan Aral

We develop a general framework to analyze the distribution functions of wealth and income. Within this framework we study wealth distribution in a society by using a model which turns on two-party trading for poor people while for rich…

Statistical Mechanics · Physics 2008-12-02 Arnab Das , Sudhakar Yarlagadda

In traditional banking, repeated deposit-and-lend cycles let a single dollar of reserves support multiple dollars of claims. Decentralized finance produces an analogous structure with tokens. Constructing a Token Graph of 10,200 tokens…

General Economics · Economics 2026-03-31 Wenbin Wu

Following the birth of Bitcoin and the introduction of the Ethereum ERC20 protocol a decade ago, recent years have witnessed a growing number of cryptographic tokens that are being introduced by researchers, private sector companies and…

Physics and Society · Physics 2020-04-20 Shahar Somin , Goren Gordon , Alex Pentland , Erez Shmueli , Yaniv Altshuler

We curate the DeXposure dataset, the first large-scale dataset for inter-protocol credit exposure in decentralized financial networks, covering global markets of 43.7 million entries across 4.3 thousand protocols, 602 blockchains, and 24.3…

Machine Learning · Computer Science 2025-12-01 Wenbin Wu , Kejiang Qian , Alexis Lui , Christopher Jack , Yue Wu , Peter McBurney , Fengxiang He , Bryan Zhang

As an integral part of the decentralized finance (DeFi) ecosystem, decentralized exchanges (DEXs) with automated market maker (AMM) protocols have gained massive traction with the recently revived interest in blockchain and distributed…

Trading and Market Microstructure · Quantitative Finance 2023-03-16 Jiahua Xu , Krzysztof Paruch , Simon Cousaert , Yebo Feng

Fault-tolerant distributed algorithms are central for building reliable spatially distributed systems. Unfortunately, the lack of a canonical precise framework for fault-tolerant algorithms is an obstacle for both verification and…

Formal Languages and Automata Theory · Computer Science 2012-10-16 Annu John , Igor Konnov , Ulrich Schmid , Helmut Veith , Josef Widder
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