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We study an overlapping generations (OLG) exchange economy with an asset that yields dividends. First, we derive general conditions, based on exogenous parameters, that give rise to three distinct scenarios: (1) only bubbleless equilibria…

Computational Finance · Quantitative Finance 2025-09-03 Stefano Bosi , Cuong Le Van , Ngoc-Sang Pham

Can constantly comparing ourselves to others lead to overconsumption, ultimately increasing the ecological footprint? How do social comparisons shape green preferences over time? To answer these questions, we develop an environmental…

General Economics · Economics 2025-12-19 Nicolás Blampied , Alessia Cafferata , Marwil J. Davila-Fernandez

We analyze how equilibrium housing prices are determined in the process of economic development within an overlapping generations model with perfect housing and rental markets. We characterize the rent growth rate in all equilibria. The…

Theoretical Economics · Economics 2025-05-09 Tomohiro Hirano , Alexis Akira Toda

We propose a model of multiagent systems whose agents have a tendency to balance their decisions in time. We find phase transitions to oscillatory behavior, explainable by the aggregation of agents into two groups. On a longer time scale,…

Physics and Society · Physics 2009-11-11 C. H. Yeung , K. Y. Michael Wong

This note presents a simple overlapping-generations (OLG) model of the transmission of a trait, such as a culture. Initially, some fraction of agents carry the trait. In each time period, young agents are "born" and are influenced by some…

Physics and Society · Physics 2020-04-20 Benjamin Golub

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 consider a globally coupled network of active (oscillatory) and inactive (non-oscillatory) oscillators with distributed-delay coupling. Conditions for aging transition, associated with suppression of oscillations, are derived for uniform…

Statistical Mechanics · Physics 2017-10-24 B. Rahman , K. B. Blyuss , Y. N. Kyrychko

Since McCallum (1987), it is well known that in an overlapping generations (OLG) economy with land, the equilibrium is Pareto efficient because with balanced growth, the interest rate exceeds the economic growth rate ($R>G$), which rules…

Theoretical Economics · Economics 2025-09-18 Tomohiro Hirano , Alexis Akira Toda

The agent-based Yard-Sale model of wealth inequality is generalized to incorporate exponential economic growth and its distribution. The distribution of economic growth is nonuniform and is determined by the wealth of each agent and a…

Statistical Mechanics · Physics 2021-08-26 Kang K. L. Liu , N. Lubbers , W. Klein , J. Tobochnik , B. M. Boghosian , Harvey Gould

An agent-based model of the economy is generalized to incorporate investment and guaranteed income mechanisms in addition to the exchange and distribution mechanisms considered in earlier models. We find realistic wealth distributions and…

Statistical Mechanics · Physics 2026-01-23 Jan Tobochnik , Harvey Gould , William Klein

We present a general equilibrium macro-finance model with a positive feedback loop between capital investment and land price. As leverage is relaxed beyond a critical value, through the financial accelerator, a phase transition occurs from…

Theoretical Economics · Economics 2024-02-15 Tomohiro Hirano , Ryo Jinnai , Alexis Akira Toda

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

Rational pure bubble models feature multiple (and often a continuum of) equilibria, which makes model predictions and policy analyses non-robust. We show that when the interest rate in the fundamental equilibrium is below the economic…

Theoretical Economics · Economics 2024-10-28 Tomohiro Hirano , Alexis Akira Toda

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

Tirole (1985) studied an overlapping generations model with capital accumulation and showed that the emergence of asset bubbles solves the capital over-accumulation problem. His Proposition 1(c) claims that if the dividend growth rate is…

Theoretical Economics · Economics 2026-05-22 Ngoc-Sang Pham , Alexis Akira Toda

The generalized Lotka-Volterra (GLV) equations with quenched random interactions have been extensively used to investigate the stability and dynamics of complex ecosystems. However, the standard linear interaction model suffers from…

Populations and Evolution · Quantitative Biology 2026-02-03 Marco Zenari , Francesco Ferraro , Sandro Azaele , Amos Maritan , Samir Suweis

A notion of incentive for agents is introduced which leads to a very general notion of an equilibrium for a finite game. Sufficient conditions for the existence of these equilibria are given. Known existence theorems are shown to be…

Computer Science and Game Theory · Computer Science 2013-01-04 Dashiell E. A. Fryer

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

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

Chaotic Dynamics · Physics 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

In this paper I discuss truthful equilibria in common agency models. Specifically, I provide general conditions under which truthful equilibria are plausible, easy to calculate and efficient. These conditions generalize similar results in…

Theoretical Economics · Economics 2020-08-03 Ilias Boultzis
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