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We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent cannot borrow against future income, so the total wealth is required to be positive at (all or…

Probability · Mathematics 2019-01-29 Oleksii Mostovyi , Mihai Sîrbu

Various multi-agent models of wealth distributions defined by microscopic laws regulating the trades, with or without a saving criterion, are reviewed. We discuss and clarify the equilibrium properties of the model with constant global…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Kimmo Kaski , Guido Germano

I characterize optimal government policy in a sticky-price economy with different types of consumers and endogenous financial constraints in the banking and entrepreneurial sectors. The competitive equilibrium allocation is constrained…

General Economics · Economics 2025-01-29 Aliaksandr Zaretski

The scale and terms of aggregate borrowing in an economy depend on the manner in which wealth is distributed across potential creditors with heterogeneous beliefs about the future. This distribution evolves over time as uncertainty is…

General Economics · Economics 2023-04-10 Bikramaditya Datta , Rajiv Sethi

Historical trends suggest the decline in importance of land as a production factor but its continued importance as a store of value. Using an overlapping generations model with land and aggregate uncertainty, we theoretically study the…

Theoretical Economics · Economics 2025-07-11 Tomohiro Hirano , Alexis Akira Toda

We study Pareto efficiency in a pure-exchange economy where agents' preferences are represented by risk-averse monetary utilities. These coincide with law-invariant monetary utilities, and they can be shown to correspond to the class of…

Mathematical Finance · Quantitative Finance 2024-08-15 Mario Ghossoub , Michael Boyuan Zhu

Financial markets display scale-free behavior in many different aspects. The power-law behavior of part of the distribution of individual wealth has been recognized by Pareto as early as the nineteenth century. Heavy-tailed and scale-free…

Trading and Market Microstructure · Quantitative Finance 2009-06-03 M. Ebert , W. Paul

This paper provides a detailed analysis of the local determinacy of monetary and non-monetary steady states in Tirole (1985)'s classical two-period overlapping generations model with capital and production. We show that the sufficient…

Theoretical Economics · Economics 2024-05-14 Tomohiro Hirano , Alexis Akira Toda

This paper investigates the relevance of the No-Ponzi game condition for public debt (i.e. the public debt growth rate has to be lower than the real interest rate, a necessary assumption for Ricardian equivalence) and of the transversality…

General Finance · Quantitative Finance 2013-04-30 Karim Azizi , Nicolas Canry , Jean-Bernard Chatelain , Bruno Tinel

This article is a supplement to my main contribution to the Routledge Handbook of Complexity Economics (2023). On the basis of three recent papers, it presents an unconventional perspective on economic inequality from a statistical physics…

General Economics · Economics 2023-07-06 Victor M. Yakovenko

We revisit the classic paper of Tirole "Asset Bubbles and Overlapping Generations" (1985, Econometrica), which shows that the emergence of asset bubbles solves the capital over-accumulation problem. While Tirole's main insight holds with…

Theoretical Economics · Economics 2026-01-29 Ngoc-Sang Pham , Alexis Akira Toda

We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

The distribution of wealth among the members of a society is herein assumed to result from two fundamental mechanisms, trade and investment. An empirical distribution of wealth shows an abrupt change between the low-medium range, that may…

Statistical Mechanics · Physics 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

The rich-get-richer mechanism (agents increase their ``wealth'' randomly at a rate proportional to their holdings) is often invoked to explain the Pareto power-law distribution observed in many physical situations, such as the degree…

General Finance · Quantitative Finance 2008-12-02 James P. Bagrow , Jie Sun , Daniel ben-Avraham

Compound interest as well as inflation grows exponentially with time, whereas other means to repay debt grow polynomially. For this and other, mostly political, reasons, debt without inflation is unsustainable. We suggest a discontinuous…

General Finance · Quantitative Finance 2015-07-13 Karl Svozil

We consider the relationship between economic activity and intervention, including monetary and fiscal policy, using a universal dynamic framework. Central bank policies are designed for growth without excess inflation. However,…

Physics and Society · Physics 2018-01-01 Yaneer Bar-Yam , Jean Langlois-Meurinne , Mari Kawakatsu , Rodolfo Garcia

This paper develops a new model of business cycles. The model is economical in that it is solved with an aggregate demand-aggregate supply diagram, and the effects of shocks and policies are obtained by comparative statics. The model builds…

Theoretical Economics · Economics 2022-03-22 Pascal Michaillat , Emmanuel Saez

Solomon and Golo [1] have recently proposed an autocatalytic (self-reinforcing) feedback model which couples a macroscopic system parameter (the interest rate), a microscopic parameter that measures the distribution of the states of the…

General Finance · Quantitative Finance 2015-07-14 Natasa Golo , David S. Bree , Guy Kelman , Leanne Usher , Marco Lamieri , Sorin Solomon

A computational model for the distribution of wealth among the members of an ideal society is presented. It is determined that a realistic distribution of wealth depends upon two mechanisms: an asymmetric flux of wealth in trading…

Statistical Mechanics · Physics 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

We consider a frictionless constant endowment economy based on Leeper (1991). In this economy, it is shown that, under an ad-hoc monetary rule and an ad-hoc fiscal rule, there are two equilibria. One has active monetary policy and passive…

General Economics · Economics 2020-02-12 Jean-Bernard Chatelain , Kirsten Ralf