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3
Content available remote I-sets and cominimal projections
100%
EN
Let Y [...] be a subspace of codimension two. For n = 4 the formula for cominimal projections will be presented. For n = 5 the complete characterization of I-sets which determined cominimal projections and consequently the manner of finding cominimal projections will be given. This completes the results from [15].
EN
The authoress assumes that at least two of commodities in a Debreu model are complementary. It means that the individual consumption sets are contained in a proper subspace 'V'. She shows thai if individual production sets be changed, to consist only of such numbers of commodities, which consumers are interested in, the equilibrium will be not disturbed. The individual consumption sets, images of the equilibrium price and the images of the individual production sets by a certain linear and continuous projection construct a Debreu mode! which is contained in the space ' V'. Additionally, the utility functions and maximum of profit functions will be not changed. As the result, the whole model becomes less complicated..
5
Content available remote Wspomnienie o Andrzeju Malawskim (1948-2016)
63%
PL
W październiku 2018 roku przypadła druga rocznica śmierci wybitnego ekonomisty, filozofa i matematyka, prof. dr hab. Andrzeja Malawskiego, wielkiego entuzjasty zastosowań matematyki w naukach społecznych, zwłaszcza w teorii ekonomii. Andrzej Malawski był cenionym w kraju i za granicą specjalistą w zakresie teoretycznych podstaw ekonomii. Jego zainteresowania naukowe koncentrowały się wokół ogólnej teorii równowagi gospodarczej, ekonomii ewolucyjnej, teorii systemów oraz metodologii ekonomii.
EN
Professor Andrzej Malawski passed away in 2016. He was an outstanding economist, philosopher and a mathematician. He was fond of mathematics modelling of economic theories. Andrzej Malawski was a founder of the research program of modeling the Schumpeterian vision of innovative development in the framework of the Arrow-Debreu theory of general equilibrium. The results of his research activities were published in papers of the international range. Andrzej Malawski worked at Cracow University of Economics. He was, among others, Deputy Rector of Cracow University of Economics (2008-2012) and Head of Department of Mathematics CUE. In 2000 he was awarded for the monograph Metoda aksjomatyczna w ekonomii by Bank Handlowy. Andrzej Malawski was a man of extraordinary mental and character merits. He was characterized by a high personal culture and great modesty. Professor Malawski was very friendly, tactful and, at the same time, exacting and commanding respect. He willingly shared his comprehensive knowledge with others. He was a mentor and unrivalled master for many young scientists. He was well-liked and respected by those with whom he met on his research activity paths, with whom he collaborated and co-wrote. Professor Andrzej Malawski was an unusual man and the image of this exceptional man and excellent researcher will remain forever in the memory of a great many people.
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