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Accuracy of economic theories and efficiency of economic policy strictly depend on the choice of the economic variables and processes mostly liable for description of economic reality. That states the general problem of assessment of any…

General Economics · Economics 2022-08-17 Victor Olkhov

In our previous paper we proved that every affine economy has a competitive equilibrium. We define a simplex economy as an affine economy consisting of a stochastic allocation (defining the initial endowments) and a variation with…

Theoretical Economics · Economics 2024-06-07 Antonio Pulgarín

We address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size…

General Finance · Quantitative Finance 2011-12-12 Anindya S. Chakrabarti

We propose the Agent Economy, a blockchain-based foundation where autonomous AI agents operate as economic peers to humans. Current agents lack independent legal identity, cannot hold assets, and cannot receive payments directly. We…

Cryptography and Security · Computer Science 2026-02-17 Minghui Xu

We analyze a conservative market model for the competition among economic agents in a close society. A minimum dynamics ensures that the poorest agent has a chance to improve its economic welfare. After a transient, the system…

Statistical Mechanics · Physics 2009-11-10 S. Pianegonda , J. R. Iglesias

For a class of stochastic dynamical models of exchange economies that we call ``fully connected Cobb-Douglas'', the paper proves convergence of the probability distribution to an equilibrium, in total variation metric as time goes to…

Probability · Mathematics 2025-06-16 R. S. MacKay

Recent work on the logical structure of non-locality has constructed scenarios where observations of multi-partite systems cannot be adequately described by compositions of non-signaling subsystems. In this paper we apply these frameworks…

Computer Science and Game Theory · Computer Science 2015-12-10 William Zeng , Philipp Zahn

Various formulations of counterfactual general equilibrium in economies -- systems of actors manipulating economic goods -- are logically and mathematically analyzed. Evenly-rotating economies are systems whose evolution is stable, steady,…

Adaptation and Self-Organizing Systems · Physics 2013-06-26 Leonid A. Shapiro

We analyse the complexity of environments according to the policies that need to be used to achieve high performance. The performance results for a population of policies leads to a distribution that is examined in terms of policy…

Artificial Intelligence · Computer Science 2013-02-11 Jose Hernandez-Orallo

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

From some observations on economic behaviors, in particular changing economic conditions with time and space, we develop a very simple model for the evolution of economic entities within a geographical type of framework. We raise a few…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

We consider an economy made of competing firms which are heterogeneous in their capital and use several inputs for producing goods. Their consumption policy is fixed rationally by maximizing a utility and their capital cannot fall below a…

Analysis of PDEs · Mathematics 2022-07-13 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

For a setting in which a large number of asymmetrically informed agents are randomly matched into groups over time, exchanging their information with each other when matched, we provide an explicit solution for the dynamics of the…

Probability · Mathematics 2008-11-20 Darrell Duffie , Gaston Giroux , Gustavo Manso

In this paper we consider multi-agent coalitional games with uncertain value functions for which we establish distribution-free guarantees on the probability of allocation stability, i.e., agents do not have incentives to defect from the…

Optimization and Control · Mathematics 2022-06-24 George Pantazis , Filippo Fabiani , Filiberto Fele , Kostas Margellos

We propose a Statistical-Mechanics inspired framework for modeling economic systems. Each agent composing the economic system is characterized by a few variables of distinct nature (e.g. saving ratio, expectations, etc.). The agents…

Statistical Mechanics · Physics 2007-05-23 Tom Erez , Martin Hohnisch , Sorin Solomon

Persistent wealth inequality, where a small fraction of the population accumulates most resources while the majority remains economically vulnerable, is a widespread phenomenon. We investigate its underlying mechanisms using an agent-based…

Physics and Society · Physics 2026-02-16 Gastón Villafañe , Lautaro Giordano , María Fabiana Laguna

Coalition Logic is an important logic in logical studies of strategic reasoning, whose models are concurrent game models. In this paper, first, we systematically discuss three assumptions of concurrent game models and argue that they are…

Logic in Computer Science · Computer Science 2025-09-12 Yinfeng Li , Fengkui Ju

There are several aspects of data markets that distinguish them from a typical commodity market: asymmetric information, the non-rivalrous nature of data, and informational externalities. Formally, this gives rise to a new class of games…

Computer Science and Game Theory · Computer Science 2023-03-29 Samir Wadhwa , Roy Dong

The law of proportionate growth simply states that the time dependent change of a quantity $x$ is proportional to $x$. Its applicability to a wide range of dynamic phenomena is based on various assumptions for the proportionality factor,…

Physics and Society · Physics 2019-09-04 Frank Schweitzer

This paper focuses on the convergence of infor- mation in distributed systems of agents communicating over a network. The information on which the convergence is sought is not represented by real numbers, rather by sets of real numbers,…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Nevio Dubbini , Antonio Bicchi