scholarly journals Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth

2017 ◽  
Vol 10 (1) ◽  
pp. 117-140 ◽  
Author(s):  
Martin Burger ◽  
◽  
Alexander Lorz ◽  
Marie-Therese Wolfram ◽  
◽  
...  
Keyword(s):  
Mean Field ◽  
Game Model ◽  
Growth Path ◽  
Mean Field Game ◽  
Balanced Growth ◽  
Knowledge Growth ◽  
Balanced Growth Path

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 Golden-Rule Level of the Employment

2017 ◽  
Vol 01 (01) ◽  
pp. 1740005 ◽  
Author(s):  
Yong Tao ◽  
Xiangjun Wu
Keyword(s):  
Production Function ◽  
Golden Rule ◽  
Perfect Competition ◽  
Growth Path ◽  
Aggregate Production ◽  
Balanced Growth ◽  
Aggregate Production Function ◽  
Long Time ◽  
Balanced Growth Path ◽  
General Equilibria

The competitive economy, over a long time scale, would produce a large number of general equilibria, each of which can be regarded as a possible microstate of this economy. Then by the principle of maximum entropy, we can obtain the most probable macrostate which in the case of perfect competition involving a single industry will lead to a Solow-type aggregate production function. By this aggregate production function, one can make clear how labors match firms on the balanced growth path. Here, we prove that when the capital stock of a society arrives at the golden-rule level on the balanced growth path, the social employment will reach the best level at which every firm on average employs an optimal amount of workers.

On the Dynamics of Basic Growth Models: Ratio Stability vs. Convergence and Divergence in State Space

2009 ◽  
Vol 10 (4) ◽  
pp. 384-400 ◽  
Author(s):  
Thorsten Pampel
Keyword(s):  
State Space ◽  
Growth Models ◽  
Optimal Growth ◽  
Growth Path ◽  
Solow Model ◽  
Initial Capital ◽  
Balanced Growth ◽  
Balanced Growth Path ◽  
Per Capita ◽  
Convergence And Divergence

Abstract We show for a class of basic growth models that convergence in ratios does not imply the pathwise convergence to the corresponding balanced growth path in the state space. We derive conditions on parameters and on the elasticity of the savings function for convergence or divergence and apply our results to the Solow model, an augmented Solow model as well as to an optimal growth model. An implication for the convergence debate is that two economies that differ only in the initial capital stock and converge in per capita terms might diverge to infinity in absolute terms.

scholarly journals Mean-Field-Game Model for Botnet Defense in Cyber-Security

2016 ◽  
Vol 74 (3) ◽  
pp. 669-692 ◽  
Author(s):  
V. N. Kolokoltsov ◽  
A. Bensoussan
Keyword(s):  
Cyber Security ◽  
Mean Field ◽  
Game Model ◽  
Mean Field Game
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