Economic Models - Convex Optimization
Economic Models - Convex Optimization Economic Models - Convex Optimization
Tom Oskar Martin Kronsjo: A Profile Lydia Kronsjo University of Birmingham, England Tom Kronsjo was born in Stockholm, Sweden, on 16 August 1932, the only child of Elvira and Erik Kronsjo. Both his parents were gymnasium teachers. In his school days Tom Kronsjo was a bright, popular student, often a leader among his school contemporaries and friends. During his school years, he organized and chaired a National Science Society that became very popular with his school colleagues. From an early age, Tom Kronsjo’s mother encouraged him to learn foreign languages. He put these studies to a good test during a 1948 summer vacation when he hitch-hiked through Denmark, Germany, the Netherlands, England, Scotland, Ireland, France, and Switzerland. The same year Tom Kronsjo founded and chaired a technical society in his school. In the summer vacation of 1949, Tom Kronsjo organized an expedition to North Africa by seven members of the technical society, their ages being 14–24. The young people traveled by coach through the austere post-Second World War Europe. All the equipment for travel, including the coach, were donated by sympathetic individuals and companies, who were impressed by an intelligent, enthusiastic group of youngsters, eager to learn about the world. This event caught a wide interest in the Swedish press at that time and was vividly reported. Tom Kronsjo used to mention that as a particularly personally exciting experience of his school years he remembered volunteering to give a series of morning school sermons on the need for the world governmental organizations, which would encourage and support mutual understanding of the needs of the people to live in peace. Tom Kronsjo’s university years were spent at both sides of the great divide. Preparing himself for a career in international economics, he wanted to experience and see for himself the different nations’ ways of life and points of view. He studied in London, Belgrade,Warsaw, Oslo, and Moscow, before returning to his home country, Sweden, to pass examinations and ix
x Tom Oskar Martin Kronsjo submit required work at the Universities of Uppsala, Stockholm and Lund for his Fil.kand. degree in economics, statistics, mathematics and Slavonic Languages, and Fil.lic. degree in economics. By then, Tom Kronsjo besides his mother tongue — Swedish, was fluent in six languages — German, English, French, Polish, Serbo-Croatian, and Russian. During this period, Tom was awarded a number of scholarships for study in Sweden and abroad. Tom Kronsjo met his wife while studying in Moscow. He was a visiting graduate student at the Moscow State University and she a graduate student with the Academy of Sciences of the USSR. They married in Moscow in February 1962. A few years later, a very happy event in the family life was the arrival of their adoptive son from Korea in October 1973. As a post-graduate student in economics, Tom Kronsjo was one of a new breed of Western social scientists that applied rigorous mathematical and computer-based modeling to economics. In 1963, Tom Kronsjo was invited by Professor Ragnar Frish, later Nobel prize winner in econometrics, to work under him and Dr. Salah Hamid in Egypt as a visiting Assistant Professor in Operations Research at the UAR Institute of National Planning. His pioneering papers on optimization of foreign trade were soon considered classic and brought invitations to work as a guest researcher by the GDR Ministry of Foreign Trade and Inner German Trade, and by the Polish Ministry of Foreign Trade. In 1964, Tom Kronsjo was appointed an Associate Professor in Econometrics and Social statistics at the Faculty of Commerce and Social Sciences, the University of Birmingham, U.K. He and his wife moved to the United Kingdom. In Birmingham, together with Professor R.W. Davies Tom Kronsjo developed diploma, and master of social sciences courses in national economic planning. The courses, offered from 1967, attracted many talented students from all over the world. Many of these students then stayed with Tom Kronsjo as research students and many of these people are today university professors, industrialists, and economic advisors. In 1969, at the age of 36, Tom Kronsjo was appointed Professor of Economic Planning. By then Tom Kronsjo had published over a hundred research papers. Tom Kronsjo has always had a strong interest in educational innovations. He was among the first professors at the university to introduce a television-based teaching, making it possible to widen the scope of material taught. Tom Kronsjo was generous towards his students with his research ideas, stimulating his students intellectually, unlocking wide opportunities for his
- Page 2 and 3: ECONOMIC MODELS Methods, Theory and
- Page 4 and 5: ECONOMIC MODELS Methods, Theory and
- Page 6 and 7: This Volume is Dedicated to the Mem
- Page 8 and 9: Contents Tom Oskar Martin Kronsjo:
- Page 12 and 13: Tom Oskar Martin Kronsjo students t
- Page 14 and 15: About the Editor Prof. Dipak Basu i
- Page 16 and 17: Contributors Athanasios Athanasenas
- Page 18: Contributors Victoria Miroshnik, is
- Page 21 and 22: xx Introduction type of model is ve
- Page 23 and 24: This page intentionally left blank
- Page 25 and 26: This page intentionally left blank
- Page 27 and 28: 4 Olav Bjerkholt Among these was al
- Page 29 and 30: 6 Olav Bjerkholt method, searching
- Page 31 and 32: 8 Olav Bjerkholt context, but one o
- Page 33 and 34: 10 Olav Bjerkholt be modified in th
- Page 35 and 36: 12 Olav Bjerkholt through a number
- Page 37 and 38: 14 Olav Bjerkholt memoranda. These
- Page 39 and 40: 16 Olav Bjerkholt hopelessly ineffe
- Page 41 and 42: 18 Olav Bjerkholt References Arrow,
- Page 43 and 44: This page intentionally left blank
- Page 45 and 46: This page intentionally left blank
- Page 47 and 48: 24 Alexis Lazaridis A straightforwa
- Page 49 and 50: 26 Alexis Lazaridis where ⎛ ⎞ j
- Page 51 and 52: 28 Alexis Lazaridis Estimating the
- Page 53 and 54: 30 Alexis Lazaridis 5.1. Testing fo
- Page 55 and 56: 32 Alexis Lazaridis by applying the
- Page 57 and 58: 34 Alexis Lazaridis Nevertheless, t
- Page 59 and 60: 36 Alexis Lazaridis Table 2. Residu
x<br />
Tom Oskar Martin Kronsjo<br />
submit required work at the Universities of Uppsala, Stockholm and Lund<br />
for his Fil.kand. degree in economics, statistics, mathematics and Slavonic<br />
Languages, and Fil.lic. degree in economics. By then, Tom Kronsjo besides<br />
his mother tongue — Swedish, was fluent in six languages — German,<br />
English, French, Polish, Serbo-Croatian, and Russian. During this period,<br />
Tom was awarded a number of scholarships for study in Sweden and abroad.<br />
Tom Kronsjo met his wife while studying in Moscow. He was a visiting<br />
graduate student at the Moscow State University and she a graduate student<br />
with the Academy of Sciences of the USSR. They married in Moscow in<br />
February 1962. A few years later, a very happy event in the family life was<br />
the arrival of their adoptive son from Korea in October 1973.<br />
As a post-graduate student in economics, Tom Kronsjo was one of a<br />
new breed of Western social scientists that applied rigorous mathematical<br />
and computer-based modeling to economics. In 1963, Tom Kronsjo was<br />
invited by Professor Ragnar Frish, later Nobel prize winner in econometrics,<br />
to work under him and Dr. Salah Hamid in Egypt as a visiting Assistant<br />
Professor in Operations Research at the UAR Institute of National Planning.<br />
His pioneering papers on optimization of foreign trade were soon<br />
considered classic and brought invitations to work as a guest researcher by<br />
the GDR Ministry of Foreign Trade and Inner German Trade, and by the<br />
Polish Ministry of Foreign Trade.<br />
In 1964, Tom Kronsjo was appointed an Associate Professor in Econometrics<br />
and Social statistics at the Faculty of Commerce and Social Sciences,<br />
the University of Birmingham, U.K. He and his wife moved to the<br />
United Kingdom.<br />
In Birmingham, together with Professor R.W. Davies Tom Kronsjo<br />
developed diploma, and master of social sciences courses in national economic<br />
planning. The courses, offered from 1967, attracted many talented<br />
students from all over the world. Many of these students then stayed<br />
with Tom Kronsjo as research students and many of these people are<br />
today university professors, industrialists, and economic advisors. In 1969,<br />
at the age of 36, Tom Kronsjo was appointed Professor of <strong>Economic</strong><br />
Planning. By then Tom Kronsjo had published over a hundred research<br />
papers.<br />
Tom Kronsjo has always had a strong interest in educational innovations.<br />
He was among the first professors at the university to introduce a<br />
television-based teaching, making it possible to widen the scope of material<br />
taught.<br />
Tom Kronsjo was generous towards his students with his research ideas,<br />
stimulating his students intellectually, unlocking wide opportunities for his
Change language