Increasing of productivity of universal computers in solving problems of mathematical economics

Author(s):  
Gerard Debreu ◽  
Werner Hildenbrand

1969 ◽  
Vol 9 (3) ◽  
pp. 343-346 ◽  
Author(s):  
Robert E. Kuenne

The burgeoning of abstract economic analysis since about 1950 makes the need for well-conceived consolidations and codifications at the textbook level peculiarly important. The task is a challenging one, demanding the attainment of a compromise between the "mathematics for economists" catalogues of techniques and the highly specialized and formalized "theorem-proof" sequences of the high-theory journals. It requires that skilful blend of the rigorous and the heuristic, the multidimensional and the diagrammatic, the logical and the intuitive, found in the teacher-born. Lancaster has succeeded admirably in finding the optimal mixture.


2014 ◽  
Vol 93 (5) ◽  
pp. 735-748 ◽  
Author(s):  
L. Bayón ◽  
P.J. García-Nieto ◽  
R. García-Rubio ◽  
J.M. Grau ◽  
M.M. Ruiz ◽  
...  

1984 ◽  
Vol 94 (373) ◽  
pp. 186 ◽  
Author(s):  
Ronald Shone ◽  
Kenneth J. Arrow ◽  
Michael D. Intriligator

2001 ◽  
Vol 27 (8) ◽  
pp. 505-512 ◽  
Author(s):  
José Carlos Rodríguez Alcantud

We extend van Dalen and Wattel's (1973) characterization of orderable spaces and their subspaces by obtaining analogous results for two larger classes of topological spaces. This type of spaces are defined by considering preferences instead of linear orders in the former definitions, and possess topological properties similar to those of (totally) orderable spaces (cf. Alcantud, 1999). Our study provides particular consequences of relevance in mathematical economics; in particular, a condition equivalent to the existence of a continuous preference on a topological space is obtained.


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