scholarly journals Equilibrium Proofmaking

2001 ◽  
Vol 23 (4) ◽  
pp. 421-442 ◽  
Author(s):  
E. Roy Weintraub ◽  
Ted Gayer

Each year, new economics Ph.D. students learn the proof of the existence of a competitive equilibrium as if it were a rite of passage. From the utility-maximizing behavior of consumers and the profit-maximizing behavior of firms, neophyte economists soon can demonstrate that under certain conditions there exists a competitive market-clearing general equilibrium price vector. While there are a number of proofs that establish the existence of such an equilibrium, the validity of these proofs is indubitable. Indeed, economists with even scant knowledge of the history of economics can identify Kenneth J. Arrow and Gerard Debreu's Econometrica paper as having provided the proof that settled the issue.

2006 ◽  
Vol 3 (2) ◽  
pp. 3-32 ◽  
Author(s):  
Susan Youens

Anyone who ventures into the vastness of German song territory encounters a juggernaut almost immediately. Over and over again, the supplier of the words is identified as Heinrich Heine - a very great poet, to be sure, but other great poets did not leave the same mammoth imprint on the history of song as this man. Günter Metzner's catalogue,Heine in der Musik(Heine in Music), consumes twelve oversize volumes, and both Peter Shea and I have found settings that are not cited in this Herculean source. Those who peruse Ernst Challier'sGrosser Lieder-Katalog(Great Song Catalogue) of 1884 discover that nineteenth-century composers frequently chose Heine for their op. 1 entrée onto the scene, as if setting Heine to music was a rite of passage, a guarantee that attention would be paid.


This book concerns figurines from cultures that have no direct links with each other. It explores the category of the figurine as a key material concept in the art history of antiquity through comparative juxtaposition of papers drawn from Chinese, pre-Columbian, and Greco-Roman culture. It extends the study of figurines beyond prehistory into ancient art-historical contexts. At stake are issues of figuration and anthropomorphism, miniaturization and portability, one-off production and replication, substitution and scale. Crucially, figurines are objects of handling by their users as well as their makers—so that, as touchable objects, they engage the viewer in different ways from flat art. Unlike the voyeuristic relationship of viewing a neatly framed pictorial narrative, as if from the outside, the viewer as handler is always potentially and without protection within the narrative of figurines. This is why they have had potential for a potent, even animated, agency in relation to those who use them.


2016 ◽  
Vol 66 (1) ◽  
pp. 1-31
Author(s):  
Ernő Zalai ◽  
Tamás Révész

Léon Walras (1874) had already realised that his neo-classical general equilibrium model could not accommodate autonomous investments. In the early 1960s, Amartya Sen analysed the same issue in a simple, one-sector macroeconomic model of a closed economy. He showed that fixing investment in the model, built strictly on neo-classical assumptions, would make the system overdetermined, and thus one should loosen some neo-classical conditions of competitive equilibrium. He analysed three not neo-classical “closure options”, which could make the model well-determined in the case of fixed investment. His list was later extended by others and it was shown that the closure dilemma arises in the more complex computable general equilibrium (CGE) models as well, as does the choice of adjustment mechanism assumed to bring about equilibrium at the macro level. It was also illustrated through several numerical models that the adopted closure rule can significantly affect the results of policy simulations based on a CGE model. Despite these warnings, the issue of macro closure is often neglected in policy simulations. It is, therefore, worth revisiting the issue and demonstrating by further examples its importance, as well as pointing out that the closure problem in the CGE models extends well beyond the problem of how to incorporate autonomous investments into a CGE model. Several closure rules are discussed in this paper and their diverse outcomes are illustrated by numerical models calibrated on statistical data. First, the analyses are done in a one-sector model, similar to Sen’s, but extended into a model of an open economy. Next, the same analyses are repeated using a fully-fledged multi-sectoral CGE model, calibrated on the same statistical data. Comparing the results obtained by the two models it is shown that although they generate quite similar results in terms of the direction and — to a somewhat lesser extent — of the magnitude of change in the main macro variables using the same closure option, the predictions of the multi-sectoral CGE model are clearly more realistic and balanced.


Traditio ◽  
2020 ◽  
Vol 75 ◽  
pp. 87-125
Author(s):  
JOEL L. GAMBLE

The “Defense of Medicine” prefaces the Codex Bambergensis Medicinalis 1, a Carolingian collection of medical texts. Some scholars have dismissed the Defense as an incoherent patchwork of quotations. Yet, missing from the literature is an adequate assessment of the Defense's arguments. This present study includes the first English translation accompanied by a complete source commentary, a prerequisite for valid content analysis. When read systematically and with attention to the author's use of sources, the Defense is limpid and cogent. Its first purpose is to defend the compatibility of Christian faith and secular medicine. Key propositions include the following: God made nature good, so the natural sciences are reconcilable with divine learning; scripture respects medicine; God expects the sick to avail of physicians and deserves honor for healings done through physicians. Counter-arguments used by the Defense's opponents, who rejected medicine on principle, can also be reconstructed from the text. Two further purposes of the Defense have hitherto been explored insufficiently. After justifying medicine, the Defense addresses sick patients. It encourages them that illness can be spiritually healthful, an instrument for curing their souls. The Defense then addresses caregivers. It tells them why they should succor the sick, even the poor: not for gain or fame, but in imitation of Christ and as if treating Christ himself, whose image the sick bear. The Defense thus contributes to the history of ideas on medicine, health, sickness, and the ethics of altruistic care.


2013 ◽  
Vol 35 (1) ◽  
pp. 1-17 ◽  
Author(s):  
PHILIP MIROWSKI

This Presidential Address revisits Paul Samuelson’s views on the history of science and history of economics, with the advantage of archival evidence from his papers now deposited at Duke. It suggests he was not impressed with historians in general; but also, that his faith in the orthodox neoclassical profession failed him towards the end of his life, when those in the profession started to treat him the way that he had treated the historians.


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