TY  - BOOK
AU  - Makarov,V.L.
AU  - Rubinov,Aleksandr Moiseevich
TI  - Mathematical theory of economic dynamics and equilibria
SN  - 0387901914
AV  - HB135 .M3313
U1  - 330.01'51 
PY  - 1977///
CY  - New York
PB  - Springer-Verlag
KW  - Economics, Mathematical
KW  - Equilibrium (Economics)
N1  - Translation of Matematicheskai︠a︡ teorii︠a︡ ėkonomicheskoĭ dinamiki i ravnovesii︠a︡; Includes index; Includes bibliographical references: p. 241-248
N2  - This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathematical economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a trajectory, i.e., a sequence of elements of the phase space that describe admissible (possible) development of the economy. From all trajectories, we select those that are" desirable," i.e., optimal in terms of a certain criterion. The apparatus of point-set maps is the appropriate tool for the analysis of these models. The topological aspects of these maps (particularly, the Kakutani fixed-point theorem) are used to study equilibrium models as well as n-person games. To study dynamic models we use a special class of maps which, in this book, are called superlinear maps. The theory of superlinear point-set maps is, obviously, of interest in its own right. This theory is described in the first chapter
ER  -