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JJcvWTJcvWvWrsbTscIڔITbscd0HdbhvWhscvWnn$r'!nnr'KSU-Paris1 Cooperation
1. The topic:
Applied Mathematics to economics and finance
2. Abstract:
The purpose of this cooperation is to enhance the development of the research in mathematics applied to economics and finance in the Department of Mathematics of KSU. More precisely, the project combines research activities with training activities at the graduate level in order to train students in the topics of optimization, probability, statistics, mathematical economics, mathematical finance, optimal control, from the bachelor to the Ph.D. and to start cooperative researches on joint projects.
3. Goals of research:
The development of mathematical methods in economics and finance is widely recognized and the need for well trained researchers in this field is very important for the private and the public sectors as well as for the research in economic theory and in quantitative finance.
4. Mechanism of research:
- Enrollment of Saudi students in the two-year master program in Paris, 5 students per year
- Enrollment of Saudi students in the summer school in Paris , 3students per year
These Schools are accelerated tracks to have the Master degree in 15 months. Each school lasts 2 months, June and July.
- Intensive International Training Forum
5 day intensive courses at the research level by distinguished speakers on various topics in mathematics and computer sciences.
- Saudi PhD student under a co-supervision, one student each year in Paris for a research internship
- Saudi post-doc student, one student each year in Paris for a research stay
- Exchange of professors
- 3 months for Saudi professors
- 3 professors of University Paris 1 in Saudi Arabia.
Each journey lasts 15 days
Each professor gives one seminar and one course (16 hours)
Workshops : 1 per year. 25 participants per workshop with the participation of international leading researchers.
Research Summer Schools for Saudi teachers and scholars: 1 each year
Each summer school lasts 5 days with 5 teachers from France.
5. Number of Ph.D. student and Post-doc. Participant:
3Ph.D. student and 3 Post-doc
6. Duration of research:
3 years
Resarch topics in mathematics
UFR 27 Mathematics and Computer Sciences
Team CERMSEM of the Centre dEconomie de la Sorbonne
_________________________________________________________________________________
The main feature of the research in mathematics and computer sciences in the Team CERMSEM of the Centre dEconomie de la Sorbonne is its close relationships with the applications in economics and finance. So, most of the works, which develops new tools, are motivated by those applications and are often co-authored with economists.
List of research topics
Optimization, stochastic optimization, discrete optimization,
Dynamics, Ordinary differential equations and inclusions, optimal control
Fixed point theory, degree theory and applications to fixed point
Non-smooth analysis
Probability
Statistics
Numerical methods in optimization, probability and statistics
Game theory, incomplete information, stochastic games
Operation research
Decision theory, lattice structure
Training programmes in mathematics
UFR 27 Mathematics and Computer Sciences
Master Mathematical Models in Economics and Finance
The first year of Graduate Studies (Diplme Universitaire) offers courses taught in English derived from already existing degrees of the university, together with intensive courses in French (with the aim of having students being self-sufficient at the end of the academic year). The university is presently offering the degree entitled Mathematical Models in Economics and Finance and will offer similar degrees in other fields (history, philosophy, etc.) in the future.
The degree in Mathematical Models in Economics and Finance is devoted to the training of students in the use of mathematical models in economics and finance: mathematical economics, strategic analysis, decision theory, stochastic models, mathematical finance and optimization models. The training is built around a large spectrum of courses, which aim to give the knowledge for the modelisation of the economic and financial problems, for the mathematical formalization and the tools for the numerical solutions. The new models in finance, economics and decision theory need a coherent training in these fields.
The courses of the MMEF degree corresponds to courses taught in the first year of graduate studies, which in the Bologna European Academic System, is the first year M1 of the Masters.
Continuation in a French taught Master Degree. After the first year of the MMEF Degree, students may apply to the second year (M2) of a French taught Master Degree if they wish to get a Masters Degree. Our past experience with previous students show that the intensive courses in French in the MMEF Year allows students to attend courses taught in French in the following year.
HYPERLINK "http://www.univ-paris1.fr/formation/eco_gestion/ufr27/study-in-english/erasmus_mundus/article4774.html" Continuation to the QEM Erasmus Mundus Master
INCLUDEPICTURE "http://www.univ-paris1.fr/puce.gif" \* MERGEFORMATINET either in the first year (QEM1) of the HYPERLINK "http://www.univ-paris1.fr/formation/eco_gestion/ufr27/study-in-english/erasmus_mundus/article4774.html" QEM Erasmus Mundus Masters to have the Master degree in two years. INCLUDEPICTURE "http://www.univ-paris1.fr/puce.gif" \* MERGEFORMATINET or in the HYPERLINK "http://www.univ-paris1.fr/formation/eco_gestion/ufr27/study-in-english/erasmus_mundus/study_programme/article6422.html" accelerated track ( HYPERLINK "http://www.univ-paris1.fr/formation/eco_gestion/ufr27/study-in-english/summer/article4776.html" Summer semester and QEM2) to have the Master degree in one year.
The best 30% of students having attended the MMEF program in the past years were accepted in the QEM Erasmus Mundus Master. The MMEF program offers also a special training in mathematics at the advanced undergraduate level, which corresponds to the prerequisites of the QEM program, hence helping students who want to apply to this program.
European and non-European students can apply to scholarships.
Continuation in a PhD Programme. After the Master Degree students will then be able to enter in one of the PhD programs. See below for the HYPERLINK "http://www.univ-paris1.fr/formation/eco_gestion/ufr27/study-in-english/mmef/study_programme/article4068.html" continuation of studies within the university.
To apply in the MMEF Programme students need to have a Bachelor Degree (Licence) or an equivalent degree (180 ECTS credits in the Bologna system).
Budget for the cooperation in Mathematics between
University Paris 1 Panthon-Sorbonne and King Saud University
(per year)
Master 1 (5 Saudi students)
- Cost for 1 student: 30,000
- Tuition fees, accommodation, living costs: 21,500
- Specific tutorship, overheads 8,500
Cost for 5 students 150,000
Master 2 (5 Saudi students)
- Cost for 1 student: 30,000
- Tuition fees, accommodation, living costs: 21,500
- Specific tutorship, overheads 8,500
Cost for 5 students 150,000
Teaching Summer Schools (for 3 Saudi students and/or professors):
1 school each year, 5,000 per students for the two months
15,000
Intensive International Training Forum (5 attendants):
1 forum each year 37,000
Saudi PhD students : 1 per year
One fellowship: 45,000 per year 45,000
Saudi Posdocs in Paris 1: 1 per year
One fellowship: 65,000 per year 65,000
Exchange of professors
- 3 months for Saudi professors (10,000 per month) 30,000
- 3 professors of University Paris 1 in Saudi Arabia.
Cost per professor (15,000 ) 45,000
Workshops : 1 per year. 120,000
Research Summer Schools for Saudi teachers and scholars:
1 each year, Fees for two teachers: 15,000 15,000
Overhead costs, documentation, Data bases 20,000
Administration costs (8%) 55,000
____________
TOTAL (per year) 747,000
ANNEX 1
Working papers from the team CERMSEM in 2007 and 2008 (until March)
[2008.21] - Nicolas Trotignon et Kristina Vuskovic, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"A structure theorem for graphs with no cycle with a unique chord and its consequences"
[2008.19] - Julio Dvila, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"The rationality of expectations formation and excess volatility"
[2008.15] - Jing Zhang et Dominique Guegan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Pricing bivariate option under GARCH processes with time-varying copula"
[2008.14] - Dominique Guegan et Justin Leroux, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Forecasting chaotic systems : the role of local Lyapunov exponents"
[2008.13] - Abdou K Diongue et Dominique Guegan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"The k-factor Gegenbauer asymmetric Power GARCH approach for modelling electricity spot price dynamics"
[2008.12] - Laurent Ferrara, Dominique Guegan et Zhiping Lu, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Testing fractional order of long memory processes : A Monte Carlo study
[2008.11] - Jean-Marc Bonnisseau et Elena L. Del Mercato, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Externalities, consumption constraints and regular economies"
[2008.10] - Nizar Allouch et Cuong Le Van, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Walras and dividends equilibrium with possibly satiated consumers"
[2008.08] - Dominique Guegan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Effect of noise filtering on predictions : on the routes of chaos"
[2008.06] - Mathieu Gatumel et Dominique Guegan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Towards an understanding approach of the insurance linked securities market"
[2008.05] - Monique Florenzano, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"General equilibrium"
[2008.04] - Abdou K Diongue et Dominique Guegan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Estimation of k-factor GIGARCH process : a Monte Carlo study"
[2007.78] - Pascal Gourdel et Hakim Hammami, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Applications of a generalized Ky Fan's matching theorem in minimax and variational inequality"
[2007.77] - Jean-Marc Bonnisseau, Souhail Chebbi, Pascal Gourdel et Hakim Hammami, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Borsuk's antipodal and fixed-point theorems for correspondences without convex values"
[2007.76] - Hakim Hammami, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"A generalized FKKM theorem and variational inequality"
[2007.70] - Hakim Akeb et Mhand Hifi, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Beam Search-Based Algorithms for the Circular Packing Problem"
[2007.69] - Philippe Bich, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Nash equilibrium existence for some discontinuous games"
[2007.68] - Rose-Anne Dana et Cuong Le Van, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures"
[2007.66] - Kateryna Shapovalova et Alexander Subbotin, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Investigating Value and Growth What Labels Hide ?"
[2007.65] - Jacques H. Drze, Oussama Lachiri et Enrico Minelli, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Shareholder-efficient production plans in a multi-period economy"
[2007.64] - Tarik Belgacem et Mhand Hifi, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Sensitivity analysis of the knapsack sharing problem : perturbation of the profit"
[2007.63] - Tarik Belgacem et Mhand Hifi, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Sensitivity analysis of the knapsack sharing problem : perturbation of the weight"
[2007.62] - Dominique Gugan et Florian Ielpo, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Further evidence on the impact of economic news on interest rates"
[2007.61] - Lanouar Charfeddine et Dominique Gugan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Which is the best model for the US inflation rate : a structural changes model or a long memory process ?"
[2007.59] - Hakim Akeb et Mhand Hifi, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Algorithms for the circular open dimension problem"
[2007.58] - Abdou K Diongue, Dominique Gugan et Bertrand Vignal Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Forecasting electricity spot market prices with a k-factor GIGARCH process"
[2007.57] - Dominique Gugan et Jin Zhang, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Pricing bivariate option under GARCH-GH model with dynamic copula : application for Chinese market"
[2007.56] - Dominique Gugan et Florian Ielpo, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Flexible Time Series Models for Subjective Distribution Estimation with Monetary Policy in View"
[2007.55] - Dominique Gugan et Zhiping Lu, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"A note on self-similarity for discrete time series"
[2007.54] - Dominique Gugan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Chaos in Economics and Finance"
[2007.53] - Dominique Gugan, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Global and Local stationary modelling in finance : Theory and empirical evidence"
[2007.52] - Hakim Akeb et Mhand Hifi, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Adaptive Beam Search Solution Procedures for Constrained Circular Cutting Problems"
[2007.51] - Benjamin Lvque, Frdric Maffray et Nicolas Trotignon, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"On graphs that do not contain a subdivision of the complete graph on four vertices as an induced subgraph"
[2007.33] - Jean-Marc Bonnisseau et Elena L. del Mercato, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Possibility functions and regular economies"
[2007.29] - Antoine Mandel, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Welfare improvement properties of an allowance market in a production economy"
[2007.28] - Antoine Mandel, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Production Externalities and Expectations Application to the Economics of Climate Change"
[2007.27] - Antoine Mandel, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Changes in the firms behavior after the opening of an allowance market"
[2007.26] - Antoine Mandel, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"An Index Formula for Production Economies with Externalities"
[2007.23] - Gal Giraud et Isabelle Maret, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"The exact Insensitivity of Market Budget Shares and the "Balancing Effect"
[2007.22] - Gal Giraud et Cline Rochon, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Natural rate of unemployment and efficiency : a dynamic analysis with flexible prices and increasing returns"
[2007.21] - Gal Giraud, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"Walrasian Non-ttonnement with Incomplete and Imperfectly Competitive Markets"
[2007.20] - Gal Giraud, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"The Limit-Price Dynamics - Uniqueness, Computability and Comparative Dynamics in Competitive Markets"
[2007.15] - Lionel de Boisdeffre, Centre d'Economie de la Sorbonne, Equipe CERMSEM
"The perfect foresights' assumption revisited : (I) the existence of equilibrium with multiple price expectations"
PAGE
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