Steady state equilibria with saving for retirement in a continuous time overlapping generations model

1986 ◽  
Vol 46 (3) ◽  
pp. 253-282 ◽  
Author(s):  
C. Elbers ◽  
H. N. Weddepohl
Keyword(s):  
Steady State ◽  
Continuous Time ◽  
Overlapping Generations ◽  
Overlapping Generations Model

scholarly journals The impact of green preferences on the relevance of history versus expectations

2019 ◽  
Vol 24 (6) ◽  
pp. 583-607
Author(s):  
Andreas Schaefer ◽  
Anna Stünzi
Keyword(s):  
Steady State ◽  
Overlapping Generations ◽  
Clean Energy ◽  
Environmental Policies ◽  
Stable Steady State ◽  
Overlapping Generations Model ◽  
Environmental Preferences ◽  
Energy Taxes ◽  
Energy Tax ◽  
The Impact

AbstractIn an overlapping generations model with multiple steady states, we analyse the impact of endogenous environmental policies on the relevance of history and expectations for the equilibrium selection. In a polluting regime, environmental preferences cause an increasing energy tax which raises the risk that the economy transitions to the inferior equilibrium under pessimistic expectations. However, higher environmental preferences imply an earlier switch to the clean energy regime. Then, the conflict between production and environmental preferences is resolved and the prospects of selecting the superior equilibrium improve, since positive expectations become more relevant. In an empirical analysis we find that people with environmental preferences tend to have more optimistic expectations about economic development. Using these findings to analyse the steady-state dynamics implies that agents with environmental preferences support higher energy taxes and switch to clean production more quickly. Due to their optimism, the likelihood of reaching the superior stable steady state increases.

scholarly journals AUTOMATION, STAGNATION, AND THE IMPLICATIONS OF A ROBOT TAX

2020 ◽  
pp. 1-32 ◽  
Author(s):  
Emanuel Gasteiger ◽  
Klaus Prettner
Keyword(s):  
Steady State ◽  
Economic Impact ◽  
Technological Progress ◽  
Overlapping Generations ◽  
Investment Decisions ◽  
Cautionary Tale ◽  
Overlapping Generations Model ◽  
Long Run ◽  
Per Capita ◽  
Capita Output

We assess the long-run growth effects of automation in the overlapping generations framework. Although automation implies constant returns to capital and, thus, an AK production side of the economy, positive long-run growth does not emerge. The reason is that automation suppresses wage income, which is the only source of investment in the overlapping generations model. Our result stands in sharp contrast to the representative agent setting with automation, where sustained long-run growth is possible even without technological progress. Our analysis therefore provides a cautionary tale that the underlying modeling structure of saving/investment decisions matters for the derived economic impact of automation. In addition, we show that a robot tax has the potential to raise per capita output and welfare at the steady state. However, it cannot induce a takeoff toward positive long-run growth.

scholarly journals GROWTH AND KEEPING UP WITH THE JONESES

2010 ◽  
Vol 14 (S2) ◽  
pp. 176-199 ◽  
Author(s):  
Ronald Wendner
Keyword(s):  
Continuous Time ◽  
Overlapping Generations ◽  
Optimal Allocation ◽  
Overlapping Generations Model ◽  
Tax System ◽  
Balanced Growth ◽  
Lump Sum ◽  
Optimal Tax ◽  
The Impact ◽  
Total Wealth

This paper investigates the impact of the desire to keep up with the Joneses (KUJ) on economic growth and optimal tax policy in a continuous-time, overlapping-generations model with AK technology and exogenous, gradual retirement. Due to the desire to KUJ, the propensity to consume out of total wealth rises (declines), and the balanced growth rate declines (increases), when the households' individual total (physical and human) wealth is increasing (decreasing) with age. The rate of retirement determines whether or not a household's total wealth is increasing with age. If total wealth is increasing (decreasing) with age, an optimal allocation is decentralized by an intergenerationally progressive (regressive) lump-sum tax system. The desire to KUJ strengthens the intergenerational regressivity (progressivity) of the optimal tax system. The optimal tax implications of the desire to KUJ are a key finding of this paper.

scholarly journals CONSEQUENCES OF MODELING HABIT PERSISTENCE

2009 ◽  
Vol 13 (3) ◽  
pp. 349-365 ◽  
Author(s):  
Luca Bossi ◽  
Pere Gomis-Porqueras
Keyword(s):  
Steady State ◽  
Overlapping Generations ◽  
Overlapping Generations Model ◽  
Habit Persistence ◽  
Local Dynamics ◽  
Pure Exchange

In this paper, we study the stationary and non-stationary equilibria of a deterministic, pure exchange, two-period overlapping generations model with habit persistence. We show that preferences with multiplicative habits can lead to quite different equilibrium outcomes compared to subtractive ones. The two most commonly adopted habit specifications can differ in terms of homotheticity, gross substitutability, and uniqueness of equilibria. We illustrate these differences in terms of steady-state equilibria, as well as local dynamics.

scholarly journals CAN EDUCATION BE GOOD FOR BOTH GROWTH AND THE ENVIRONMENT?

2013 ◽  
Vol 17 (5) ◽  
pp. 1135-1157 ◽  
Author(s):  
Fabien Prieur ◽  
Thierry Bréchet
Keyword(s):  
Public Policy ◽  
Steady State ◽  
Overlapping Generations ◽  
Environmental Awareness ◽  
Sustainable Growth ◽  
Growth Path ◽  
Overlapping Generations Model ◽  
Balanced Growth ◽  
Knowledge Growth ◽  
Balanced Growth Path

We develop an overlapping-generations model of growth and the environment in relation to public policy on education. Beyond the traditional mechanisms through which knowledge, growth, and the environment interplay, we stress the role played by education in environmental awareness. Assuming first that environmental awareness is constant, we show the existence of a balanced-growth path (BGP) along which environmental quality increases continually. Then, if education enhances environmental awareness, the equilibrium properties are modified: the economy can reach a steady state or converge to an asymptotic BGP. Therefore, education does not necessarily promote sustained and sustainable growth.

scholarly journals POSTPONING RETIREMENT AND SOCIAL SECURITY IN A TWO-SECTOR MODEL

2021 ◽  
pp. 1-19
Author(s):  
PARTHA SEN
Keyword(s):  
Steady State ◽  
Social Security ◽  
Capital Accumulation ◽  
Overlapping Generations ◽  
Retirement Age ◽  
Overlapping Generations Model ◽  
Payroll Tax ◽  
Tax Rate ◽  
Sector Model ◽  
State Capital

Pay-as-you-go social security schemes in the Organisation for Economic Co-operation and Development countries are facing solvency problems, as people are living longer and birth rates have declined. Postponing the full retirement age (FRA), when retirees are entitled to full pension, has been proposed as a solution. This effectively lowers the payroll tax rate since pension is paid only in the post-FRA period. In a two-period two-sector overlapping generations model, I show that this shift lowers savings (because a part of the expected old-age income is consumed in the first period), as employment increases. In the transition to the new steady state, capital is decumulated and the wage rate falls. Contrast this with a reduction of the payroll tax rate where the initial old suffer reduced consumption, but the young have higher post-tax income and this spurs capital accumulation.

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