Mathematical Theory of Economic Dynamics and Equilibria

1 Theory of point-set maps -- 1.1 Introductory concepts -- 1.2 Superlinear functionals and convex sets -- 1.3 Elements of the topological theory of point-set maps -- 1.4 Superlinear maps and their duals -- 2 The Neumann-Gale model -- 2.1 Formulation of the Neumann-Gale model -- 2.2 Rates of growth in the Neumann-Gale model -- 2.3 Spectral theory of superlinear maps -- 3 Optimal trajectories and their characteristics -- 3.1 A general technological model of economic dynamics -- 3.2 Characteristics of optimal trajectories -- 3.3 Characteristics of optimal trajectories in some concrete models -- 3.4 Generalized technological models -- 3.5 Characteristics of trajectories of infinite-dimensional models -- 4 Asymptotes of optimal trajectories -- 4.1 The weak turnpike theorem -- 4.2 Strong turnpike theorem -- 4.3 The strongest turnpike theorem -- 4.4 Asymptotes of trajectories of general technological models -- 5 Models of economic equilibria -- 5.1 n-person games -- 5.2 A finite-horizon model of economic equilibria -- 5.3 Competitive equilibria and optimality -- 6 Models of economic dynamics with explicit consumption -- 6.1 Definition of the general model of economic dynamics—its relation to the technological model -- 6.2 The turnpike -- 6.3 Economic equilibria on infinite intervals and U-optimal trajectories -- Historical comments and comments about the literature -- References.