@misc{Panek_Emil_Teoria,
 author={Panek, Emil},
 howpublished={online},
 publisher={Zielona Góra: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego},
 language={pol},
 abstract={In the second half of the 1950s, Paul A. Samuelson formulated a hypothesis concerning the long-term convergence of optimal growth paths to a certain "benchmark" path along which an economy achieves its maximum, steady growth rate. Samuelson compared this benchmark path - representing the economy in a kind of dynamic equilibrium (growth equilibrium) - to a highway in road transportation. By identifying towns with economic states, the highway rule can be stated as follows: Starting from historically shaped initial conditions, a properly (optimally) functioning economy should reach the benchmark growth path (or its close vicinity) as quickly as possible, then continue to grow while remaining on or near this path, and eventually - toward the end of the considered time horizon - diverge from it if necessary to reach the desired final state.},
 abstract={This hypothesis of economic growth attracted significant interest from mathematical economists worldwide, who have since proven many so-called turnpike theorems (production, capital, consumption) in various types of growth models, especially input-output models of the Neumann-Leontief-Gale type. Research over the past several decades has led to the development of turnpike theory, which today constitutes one of the pillars of mathematical economics.},
 abstract={This work presents selected findings from the Author`s research on the turnpike phenomenon in mathematical economics, conducted intermittently since the late 1980s. Chapters 1-5 focus on the production-turnpike effect in various versions of Gale-type economies. Chapter 6 investigates the turnpike properties of optimal processes in an economy that combines Gale`s production space concepts with Leontief`s input-output matrixand the neoclassical capital dynamics equation. In addition to the production turnpike, this chapter also explores the capital turnpike and consumption turnpike. In the concluding Chapter 7, the Author moves from disaggregated n-product (or n-sector) economies analyzed in Chapters 1-6 to the aggregated, two-factor Solow economy with a Cobb-Douglas production function. Applying the apparatus of optimal control theory, the Author proves the turnpike properties of the optimal growth processes (trajectories) of key economic variables in the Solow model, such as capital, output, investment, consumption, and others.},
 abstract={The von Neumann equilibrium, which is central to this work, is fundamentally different from the Walrasian equilibrium that dominates most of mathematical economics, prompting a deeper reflection shared by the Author in the Summary section.},
 type={książka},
 title={Teoria magistral. Równowaga i stabilność optymalnych procesów wzrostu w modelach dynamiki ekonomicznej = Turnpike theory. Equilibrium and stability of optimal growth processes in dynamic economic models},
 keywords={model matematyczny stacjonarnej i niestacjonarnej gospodarki, równowaga von Neumanna, magistrala produkcyjna, stabilność magistralna optymalnych procesów wzrostu, mathematical model of stationary and non-stationary economies, von Neumann equilibrium, production turnpike, turnpike stability of optimal growth processes},
}