Chapter 8 Global analysis and economics

Smale, Steve

doi:10.1016/s1573-4382(81)01012-6

Cited by 14 publications

(1 citation statement)

References 11 publications

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“…Second, the GET framework allowed for occasionally fruitful contacts with mathematics. One could mention the attempts at dynamization of GET undertaken by famous mathematician and Fields Medalist Stephen Smale (1981) or the adoption of differential topology by Debreu (1970) and Mas-Colell (1985). Third, the conceptual development of the GET has been decisively stimulated by applying the GET framework to the analysis of asset markets, as well as to the exploration of such issues as the role of money and government intervention.…”

Section: A Conceptual Development Of the Walrasian Get: From Abstract...mentioning

confidence: 99%

“Rise and Fall” of the Walrasian Program in Economics: A Social and Intellectual Dynamics of the General Equilibrium Theory

Kirtchik,

Boldyrev

2023

J Hist Econ Thought

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This paper aims at understanding social practices and institutions that ensured the transnational diffusion, recognition, and renewal of the research program in the General Equilibrium Theory (GET), in spite of multiple critics and apparent theoretical dead ends. First, we trace the main conceptual developments of the Walrasian GET program since the 1950s and thus elaborate on its intellectual identity. Then, based on a systematic study of the educational and professional trajectories typical for several generations of GET scholars, we analyze a social form taken by this transnational and multidisciplinary “scientific community”: an institutional dynamics of the Walrasian GET program, most common career patterns, and the forms of international and intergenerational transmission. We construct a database of GET theorists and apply to this dataset a technique of Multiple Correspondence Analysis (MCA) in order to investigate the relational patterns between attribution of scientific credit (symbolic capital) and biographical properties in a transnational space of the GET scholars.

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Section: A Conceptual Development Of the Walrasian Get: From Abstract...mentioning

confidence: 99%

“Rise and Fall” of the Walrasian Program in Economics: A Social and Intellectual Dynamics of the General Equilibrium Theory

Kirtchik,

Boldyrev

2023

J Hist Econ Thought

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Large Deviations of Random Vector Fields with Applications to Economics

Nummelin

2000

Advances in Applied Mathematics

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On the regularity of smooth production economies with externalities: competitive equilibrium à la Nash

Mercato¹,

Platino²

2017

Econ Theory

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We consider a general equilibrium model of a private ownership economy with consumption and production externalities. The choices of all agents (households and firms) may affect utility functions and production technologies. The allocation of a competitive equilibrium is a Nash equilibrium. We provide an example showing that, under standard assumptions, competitive equilibria are indeterminate in an open set of the household's endowments. We introduce the model with firms' endowments, in the spirit of Geanakoplos, Magill, Quinzii and Drèze (1990). In our model, firms' endowments impact the technologies and the marginal productivities of the other firms. We then prove that these economies are generically regular in the space of endowments of households and firms.

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Chapter 8 Global analysis and economics

Cited by 14 publications

References 11 publications

“Rise and Fall” of the Walrasian Program in Economics: A Social and Intellectual Dynamics of the General Equilibrium Theory

“Rise and Fall” of the Walrasian Program in Economics: A Social and Intellectual Dynamics of the General Equilibrium Theory

Large Deviations of Random Vector Fields with Applications to Economics

On the regularity of smooth production economies with externalities: competitive equilibrium à la Nash

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