By Horst Albach (auth.), Prof. Dr. H. Hauptmann, Prof. Dr. Drs. h. c. W. Krelle, Priv.-Doz. Dr. K. C. Mosler (eds.)
Martin Beckmann goes to rejoice his 60th birthday. this is often virtually unimaginable contemplating the energy, ingenuity, and task which he maintains to teach as he regularly did. it truly is an honor capable and delightful accountability for the total economics neighborhood to teach hirn the honour, gratitude, and affection which he merits. therefore, these' who've contributed to this festschrift will be considered a dele gation from a far higher group during which we all are joined; the editors particularly believe deeply attached with and enriched via the character and clinical paintings of Martin Beckmann. Martin Beckmann is a kind of infrequent students who're no longer slim minded experts in a single box; he has been energetic in lots of parts of economics and operations learn which quickly built due to the fact global struggle eleven, and he has contributed unique and fruitful principles in just about all of them. the range of themes handled during this quantity goals to re flect the remarkable width of his clinical interests.
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Additional resources for Operations Research and Economic Theory: Essays in Honor of Martin J. Beckmann
Sample text
P the sign of d (C/A) /dpw We got d(C/A) dpw p where "#. g" K A 1. KRELLE Unfortunately, the sign of the expression (12) is undetermined. But we may say something more if we assume that C/A is a convex function of pw. ) for Cobb-Douglas production functions. 3. I. I I I "-groove" onl"groove" on the left : the riqht side I side II I I I = p ~w price ratio under autarchy In ca se A P1w P2w price ratio on the war ld market foreign trade is always advantageous. This case applies if a. the savings ratios sA and sK are optimal in the sense that the maximal consumption per head is attained under autarchy4) b.
Kn - l + (n-l) ! ... ) + n af n-l ~ ak + ~ af n _ l --ar-- ... •. + (n-l)! f n + ••. 18d) ·n k : 1 n! f n+l a~ at ~ + aa HO ••• , k·n : 0 at ~ o. + af l aa~ da fl - a dt af 1 a~ n 1 + (n-l) ! f n ak + nT 3k af n da 1 1 + aa -n! 3 t - a dt (n-l) ! f n o. ~ + 0 R. SATO / T. NONO / F. 18e) t;( k) In general for or for a * 0, a at; 3t - we have 0, we have dt dk TIkT a( t) -n (~~ - a The first invariant of the above is c. 18 f) For the case dt o dk TIkT a = 0, df -n we have n at; äk ~~) • * O. 17a) as: fn for a = O.
Introduction Martin Beckmann never liked to tread the beaten track, nei ther in his personal life nor in economics, he is and always was at the front of new research or looked for neglected but nevertheless important and interesting areas (such as location theory). Though his main interest is to analyse a phenomenon in its entirety he is always attracted by the exceptions and the exceptional. Thus I shall present here an exception - to the exceptional man and long time dear friend Martin on the occasion of his 60th birthday.