- Mas-Colell's book is one of the first and still one of the most complete and most rigorous of the few textbooks on the applications of differential topology and global analysis to the theory of general economic equilibrium. .... People working in the field ought to own and to have used it already for some time. So those still wanting to consult for the first time and perhaps wanting to buy the book must be mathematicians interested in economic applications of the above-mentioned mathematical subjects. They will not regret consulting and/or buying it; the book is excellent.
^{ [17] }

- Mas-Colell's book is one of the first and still one of the most complete and most rigorous of the few textbooks on the applications of differential topology and global analysis to the theory of general economic equilibrium. .... People working in the field ought to own and to have used it already for some time. So those still wanting to consult for the first time and perhaps wanting to buy the book must be mathematicians interested in economic applications of the above-mentioned mathematical subjects. They will not regret consulting and/or buying it; the book is excellent.

*Microeconomic Theory*(with Michael Dennis Whinston, Jerry R. Green, Oxford University Press, 1995, ISBN 978-0-19-507340-9). Johansson (2004) writes that this "is the most commonly used textbook in microeconomics".^{ [8] }*Noncooperative approaches to the theory of perfect competition*. New York: Academic Press. 1982. ISBN 9780124767508.

Mas-Colell is a foreign associate of the United States National Academy of Sciences, a foreign honorary member of the American Economic Association, a fellow of the American Academy of Arts and Sciences, a member of the Academia Europaea, a member of the Institute of Catalan Studies, a fellow of the Real Academia de Ciencias Morales y Políticas, and a fellow of the Econometric Society. He has received honorary doctorates from the University of Alicante in Spain, the University of Toulouse and HEC Paris in France, the National University of the South in Argentina, and the University of Chicago in the United States.^{ [18] } He is a recipient of the Creu de Sant Jordi, the highest civil honor of Catalonia, and of the King Juan Carlos Prize in Economics.^{ [2] }^{ [3] }^{ [4] }^{ [5] }

Also he has received the 2009 BBVA Foundation Frontiers of Knowledge Award in Economy, Finance and Management (co-winner with Hugo F. Sonnenschein).

In honor of his 65th birthday and his service on the European Research Council, two conferences were held in his honor at Pompeu Fabra in 2009, the *Journal of Mathematical Economics* published a special issue in his honor, and he was awarded the Medal of Honor of the university.^{ [5] }

In economics, **general equilibrium theory** attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall general equilibrium. General equilibrium theory contrasts with the theory of *partial* equilibrium, which analyzes a specific part of an economy while its other factors are held constant. In general equilibrium, constant influences are considered to be noneconomic, or in other words, considered to be beyond the scope of economic analysis. The noneconomic influences may change given changes in the economic factors however, and therefore the prediction accuracy of an equilibrium model may depend on the independence of the economic factors from noneconomic ones.

**Pompeu Fabra University** is a public university located in the city of Barcelona, Catalonia in Spain. The university was created by the Autonomous Government of Catalonia in 1990 and was named after Pompeu Fabra. UPF has been ranked the best university in Spain since 2015 and 16th best young university in the world in 2022 by the Times Higher Education World University Rankings.

In economics, **comparative statics** is the comparison of two different economic outcomes, before and after a change in some underlying exogenous parameter.

In welfare economics, a **social planner** is a hypothetical decision-maker who attempts to maximize some notion of social welfare. The planner is a fictional entity who chooses allocations for every agent in the economy—for example, levels of consumption and leisure—that maximize a social welfare function subject to certain constraints. This so-called **planner's problem** is a mathematical constrained optimization problem. Solving the planner's problem for all possible **Pareto weights** yields all Pareto efficient allocations.

**Yves Balasko** is a French economist working in England. He was born in Paris on 9 August 1945 to a Hungarian father and a French mother. After studying mathematics at the École Normale Supérieure in Paris he became interested in economics. He subsequently spent six years at Électricité de France where he was involved in the application of the theory of marginal cost pricing to electricity pricing. While at Électricité de France, he proved his first results on the structure of the equilibrium manifold in the theory of general equilibrium. After completing his dissertation on "L'équilibre économique du point de vue differentiel", he had positions at the Universities of Paris XII, Paris I, Geneva and York. In 2013, he held a visiting scholar position at Pontifical Catholic University of Rio de Janeiro, in Brazil. Since 2014, he has returned to York University.

In economics, **partial equilibrium** is a condition of economic equilibrium which analyzes only a single market, *ceteris paribus* except for the one change at a time being analyzed. In general equilibrium analysis, on the other hand, the prices and quantities of all markets in the economy are considered simultaneously, including feedback effects from one to another, though the assumption of ceteris paribus is maintained with respect to such things as constancy of tastes and technology.

The **Sonnenschein–Mantel–Debreu theorem** is an important result in general equilibrium economics, proved by Gérard Debreu, Rolf Mantel, and Hugo F. Sonnenschein in the 1970s. It states that the excess demand curve for an exchange economy populated with utility-maximizing rational agents can take the shape of any function that is continuous, has homogeneity degree zero, and is in accordance with Walras's law. This implies that the excess demand function does not take a well-behaved form even if each agent has a well-behaved utility function. Market processes will not necessarily reach a unique and stable equilibrium point.

**Economics education** or **economic education** is a field within economics that focuses on two main themes:

The **Barcelona School of Economics** (BSE) is an institution for research and graduate education in economics, finance, data science, and the social sciences located in Barcelona, Spain.

**Mathematical economics** is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods. Proponents of this approach claim that it allows the formulation of theoretical relationships with rigor, generality, and simplicity.

The **Shapley–Folkman lemma** is a result in convex geometry that describes the Minkowski addition of sets in a vector space. It is named after mathematicians Lloyd Shapley and Jon Folkman, but was first published by the economist Ross M. Starr.

**Roger Guesnerie** is an economist born in France in 1943. He is currently the Chaired Professor of Economic Theory and Social Organization of the *Collège de France*, Director of Studies at the École des hautes études en sciences sociales, and the chairman of the board of directors of the Paris School of Economics.

In **economics**, **non-convexity** refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences and convex budget sets and on producers with convex production sets; for convex models, the predicted economic behavior is well understood. When convexity assumptions are violated, then many of the good properties of competitive markets need not hold: Thus, non-convexity is associated with market failures, where supply and demand differ or where market equilibria can be inefficient. Non-convex economies are studied with nonsmooth analysis, which is a generalization of convex analysis.

**Convexity** is an important topic in **economics**. In the Arrow–Debreu model of general economic equilibrium, agents have convex budget sets and convex preferences: At equilibrium prices, the budget hyperplane supports the best attainable indifference curve. The profit function is the convex conjugate of the cost function. Convex analysis is the standard tool for analyzing textbook economics. Non‑convex phenomena in economics have been studied with nonsmooth analysis, which generalizes convex analysis.

**Xavier Vives** is a Spanish economist regarded as one of the main figures in the field of industrial organization and, more broadly, microeconomics. He is currently Chaired Professor of Regulation, Competition and Public Policies, and academic director of the Public-Private Sector Research Center at IESE Business School in Barcelona.

**Ramon Tremosa i Balcells** is a Catalan economist and politician, professor at the Department of Economic Theory at the University of Barcelona, where he obtained his Doctorate about the influence of macroeconomic policy in the Catalan manufacturing industry. From 2009 onwards he has been independent MEP for Convergència i Unió and has been re-elected in 2014. He is author of various books and academic articles about monetary politics, fiscal federalism and regional economics.

The **Center for Operations Research and Econometrics** (CORE) is an interdisciplinary research institute of the University of Louvain (UCLouvain) located in Louvain-la-Neuve, Belgium. Since 2010, it is part of the Louvain Institute of Data Analysis and Modeling in economics and statistics (LIDAM), along with the Institute for Economic and Social Research (IRES), Louvain Finance (LFIN) and the Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

**Charles Frederick Roos** was an American economist who made contributions to mathematical economics. He was one of the founders of the Econometric Society together with American economist Irving Fisher and Norwegian economist Ragnar Frisch in 1930. He served as Secretary-Treasurer during the first year of the Society and was elected as President in 1948. He was director of research of the Cowles Commission from September 1934 to January 1937.

**Jerry Richard Green** is the John Leverett Professor in the University and the David A. Wells Professor of Political Economy at Harvard University. He is known for his research in economic theory, as well as writing the most commonly used microeconomic theory textbook for graduate school with Andreu Mas-Colell and Michael Whinston, *Microeconomic Theory*.

**Elsa Artadi i Vila** is a Spanish economist, academic and politician from Catalonia. Artadi is a member of the Parliament of Catalonia and was previously Minister of the Presidency and Government Spokesperson of Catalonia.

- 1 2 3 Page 559: Jackson, Allyn (May 2005). "Mathematics in Barcelona: Time past, time future" (PDF).
*Notices of the American Mathematical Society*. Vol. 47, no. 5. pp. 554–560. - 1 2 3 4 5 6 Curriculum vitae from Mas-Colell's web site at Pompeu Fabra, retrieved 2011-01-17.
- 1 2 3 4 5 6 Faculty profile, Barcelona Graduate School of Economics, retrieved 2011-01-17.
- 1 2 3 4 5 6
*Andreu Mas-Colell, an internationally recognised economist leading Catalan economy's recovery*, Catalan News Agency, December 28, 2010. - 1 2 3 4 5 6 7 Academic Acknowledgement to Prof. Mas-Colell Prior to Commencing New Role at ERC, Barcelona Graduate School of Economics, retrieved 2011-01-17.
- 1 2 Page vii:Yves Balasko.
*Foundations of the Theory of General Equilibrium*, 1988, ISBN 0-12-076975-1. - ↑ Back cover: Mas-Colell, Andreu (1985).
*The Theory of general economic equilibrium: A*differentiable*approach*. Econometric Society monographs. Cambridge UP. ISBN 0-521-26514-2. MR 1113262. - 1 2 Johansson, D. (2004), "Economics without Entrepreneurship or Institutions: A Vocabulary Analysis of Graduate Textbooks",
*Econ Journal Watch*,**1**(3): 515–538. The same result was also obtained in a survey of economics instructors by Liner, Gaines H. (2002), "Core journals in economics",*Economic Inquiry*,**40**(1): 138–145, doi:10.1093/ei/40.1.138 . - 1 2 Wilkinson, Isambard (15 June 2021). "Outcry as retired Catalan minister faces multimillion-euro 'independence' fine".
*The Times*. Archived from the original on 15 June 2021. - ↑ Andreu Mas-Colell at the Mathematics Genealogy Project.
- ↑ Page 1431: Jackson, Allyn (December 2009). "A Trio of institutes" (PDF).
*Notices of the American Mathematical Society*. Vol. 56, no. 11. pp. 1425–1434. - ↑ Gérard Debreu
*The Theory of Value: An axiomatic analysis of economic equilibrium*, 1959 - ↑ Mas-Colell, Andreu (1985).
*The Theory of general economic equilibrium: A*differentiable*approach*. Econometric Society monographs. Cambridge UP. ISBN 0-521-26514-2. MR 1113262. - ↑ Florenzano, Monique; Gourdel, Pascal; Jofré, Alejandro (2006). "Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies".
*Economic Theory*.**29**(3): 549–564. doi:10.1007/s00199-005-0033-y. MR 2272312. S2CID 14180426. - ↑ Aliprantis, Charalambos D.; Brown, Donald J.; Burkinshaw, Owen (1990).
*Existence and optimality of competitive equilibria*. Berlin: Springer-Verlag. pp. xii+284. ISBN 3-540-52866-0. MR 1075992. - ↑ Page 503 (Chapter 8 "Applications to economics", especially Section 8.5. "Pareto optimality in ordered commodity spaces", and the remainder of the chapter, particularly Section 8.5.11 "Nonlinear pricing") Mordukhovich, Boris S. (2006).
*Variational analysis and generalized differentiation II: Applications*. Grundlehren Series (Fundamental Principles of Mathematical Sciences). Vol. 331. Springer. pp. i–xxii and 1–610. MR 2191745. - ↑ Furth, Dave (1992). "Review of
*The Theory of general economic equilibrium: A differentiable approach*".*Mathematical Reviews*. MR 1113262.. - ↑
^{[ }*permanent dead link*] in the United States

- Web site at Pompeu Fabra University

The Honourable Andreu Mas-Colell | |
---|---|

Minister of Economy and Knowledge of Catalonia | |

In office29 December 2010 –14 January 2016 | |

Prime Minister | Artur Mas |

Preceded by | Antoni Castells (Economy) Josep Huguet (Innovation and Universities) |

Succeeded by | Oriol Junqueras |

Personal details | |

Born | Andreu Mas-Colell 29 June 1944 Barcelona,Catalonia,Spain |

Political party | CDC (2012–2016) |

Children | Alexandre Mas |

Profession | Economist Professor |

Academic career | |

Institution | Pompeu Fabra University |

Field | Microeconomics |

Alma mater | University of Minnesota-Minneapolis |

Doctoral advisor | Marcel Kessel Richter |

Doctoral students | Timothy Kehoe Eddie Dekel Mathias Dewatripont Atsushi Kajii Roberto Serrano Antoni Calvó-Armengol |

Information at IDEAS / RePEc | |

**Andreu Mas-Colell** (Catalan: [ənˈdɾew ˈmas kuˈleʎ] ;born 29 June 1944) is an economist,an expert in microeconomics and a prominent mathematical economist. [1] He is the founder of the Barcelona Graduate School of Economics and a professor in the department of economics at Pompeu Fabra University in Barcelona,Catalonia,Spain. He has also served several times in the cabinet of the Catalan government. [2] [3] [4] [5] Summarizing his and others' research in general equilibrium theory,his monograph gave a thorough exposition of research using differential topology. [6] [7] His textbook on microeconomics,co-authored with Michael Whinston and Jerry Green,is the most used graduate microeconomics textbook in the world. [8]

In June 2021,Spain’s Court of Auditors found that he was among those responsible for government expenditure on the 2017 Catalan independence referendum,and announced its intention to fine him millions of euros;one member of the court dissented,and an outcry from economists followed. [9]

A native of Barcelona, [1] Mas-Colell completed his undergraduate studies at the University of Barcelona,earning a degree in economics in 1966. He moved to the University of Minnesota for his graduate studies,and completed his Ph.D. in 1972 under the supervision of Marcel Richter. [10] He took a faculty position in mathematics and economics at the University of California,Berkeley,becoming a full professor in 1979. In 1981,he moved to Harvard University,and in 1988 he became the Louis Berkman Professor of Economics at Harvard. [2] [3] [4] [5] In 1995 he moved to Pompeu Fabra to lead the Department of Economics and Business. [1] He was editor-in-chief of the * Journal of Mathematical Economics * from 1985 to 1989,and of * Econometrica * from 1988 to 1998. He was president of the Econometric Society in 1993 and of the European Economic Association in 2006. [2] [3] [5]

In public service,Mas-Colell was the Commissioner for Universities and Research of the Generalitat of Catalonia in 1999–2000. [2] [3] [4] [5] While Minister of Universities,Research and the Information Society for the Generalitat from 2000 to 2003,Mas-Colell implemented a research institution called Catalan Institution for Research and Advanced Studies (ICREA) [11] to attract top-notch scientists in all fields of knowledge,from philosophers to astrophysicists,to perform their research in 50 different host institutions in Catalonia. Mas-Colell served the Secretary General of the European Research Council from 2009 to 2010. [2] [3] [4] [5] In the Catalonia Government from 2010-2016,presided by Artur Mas,he was appointed as the Minister for Economy and Knowledge,being responsible for the government's budget,economic policy,and research policy. [4]

Spain’s Court of Auditors in June 2021 held Mas-Colell and several former colleagues in the Catalan government responsible for the mismanagement of €4.8m in support of Catalan independence. Paul Romer,a Nobel prizewinner in economics,said that the procedure appeared to be ‘not justice but politics by other means.’One member of the tribunal voted against the decision. [9]

Mas-Colell's research has ranged broadly over mathematical economics. In particular,he has been associated with a revival of the use of differential calculus (in the form of "global analysis") at the highest levels of mathematical economics. Following John von Neumann's break-throughs in economics,and particularly after his introduction of functional analysis and topology into economic theory,advanced mathematical economics reduced its emphasis on differential calculus. In general equilibrium theory,mathematical economists used general topology,convex geometry,and optimization theory more than differential calculus. [12] In the 1960s and 1970s,however,Gérard Debreu and Stephen Smale led a revival of the use of differential calculus in mathematical economics. In particular,they were able to prove the existence of a general equilibrium,where earlier writers had failed,through the use of their novel mathematics:Baire category from general topology and Sard's lemma from differential topology and differential geometry. Their publications initiated a period of research "characterized by the use of elementary differential topology":"almost every area in economic theory where the differential approach has been pursued,including general equilibrium" was covered by Mas-Colell's monograph on differentiable analysis and economics. [6] Mas-Colell's book "offers a synthetic and thorough account of a major recent development in general equilibrium analysis,namely,the largely successful reconstruction of the theory using modern ideas of differential topology",according to its back cover. [13]

Mas-Colell has also contributed to the theory of general equilibrium in topological vector lattices. [14] The sets of prices and quantities can be described as partially ordered vector spaces,often as vector lattices. Economies with uncertain or dynamic decisions typically require that the vector spaces be infinite-dimensional,in which case the order properties of vector lattices allow stronger conclusions to be made. [15] Recently researchers have studied nonlinear pricing:A "main motivation came from the fact that Mas-Colell's fundamental theory of welfare economics with no interiority assumptions crucially requires lattice properties of commodity spaces,*even* in finite-dimensional settings." [16]

Mas-Colell is the author or co-author of:

*The Theory of General Economic Equilibrium:a Differentiable Approach*(Econometric Society Monographs in Pure Theory 9,Cambridge University Press,1990,President Minister of

the PresidencyMinisters - Josep Antoni Duran i Lleida (Governance and Institutional Relations)
- Núria de Gispert (Justice)
- Xavier Pomés i Abella (Home Affairs)
- Eduard Rius i Pey (Health and Social Assistance)
- Artur Mas (Economy and Finance)
- Antoni Subirà i Claus (Industry, Trade and Tourism)
- Lluís Franco i Sala (Employment)
- Carme Laura Gil (Education)
- Andreu Mas-Colell (Universities, Research and Information Society)
- Jordi Vilajoana Rovira (Culture)
- Irene Rigau (Social Welfare)
- Pere Macias (Town, Country Town and Public Works)
- Felip Puig i Godes (Environment and Housting)
- Josep Grau i Seris (Agriculture, Livestock and Fisheries)

Spokesperson

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