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Functions of several variables
Limits and continuity
Polar coordinates and their properties
Partial derivatives, directional derivatives and the gradient vector
The chain rule
Maximum and minimum values
Lagrange multipliers

Integrals
Iterated integrals
Double integrals
Change of variables in multiple integrals
Stieltjes integral

Differential Equations
First order differential equations
Separable equations
Linear equations
Second order linear equations
Nonhomogeneous linear equations

Linear Algebra
Spaces and Subspaces
Bases and dimensions
Maximal sets
Abstract spaces and axiomatic approach
Eigenvectors and Eigenvalues
Diagonalization

Linear Operators
Linear transformations and matrix representations
Quadratic forms
Orthogonal operators
Inner product space

Convexity
Convex structures
Separation of convex sets

Textbooks
Lawrence E. Spence, Arnold J. Insel, Stephen H. Friedberg
Elementary Linear Algebra (Paperback)
Pearson Education; 2 edition (2007)
ISBN-10: 0131580345
ISBN-13: 978-0131580343

James Stewart
Calculus (International Metric Edition) (Paperback)
Brooks/Cole; International Edition (2008)
ISBN-10: 0495383627
ISBN-13: 978-0495383628

Teaching assistant
Mikhail Maslennikov

Games with Imperfect Information
Bayesian Games
Extensive Games with Imperfect Information

Coalitional Games
Bargaining
Core
Shapley value

Variants and Extensions
Strictly Competitive Games and Maxminimization
Rationalizability
Evolutionary Equilibrium
Repeated Games: The Prisoner’s Dilemma
Repeated Games: General Results

Textbook
Martin J. Osborne
An Introduction to Game Theory
Oxford University Press (2003)
ISBN13: 9780195128956
ISBN10: 0195128958

Teaching assistant
Paolo Crosetto

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Erice 2005

Erice 2002

Stochastic Networks, 22–26 March 2010, Cambridge, UK

Behavioral and Quantitative Game Theory, 14–16 May 2010, Newport Beach, California.

6th Conference in Actuarial Science & Finance on Samos, 3–6 June 2010, Samos, Greece.

The 19-th International Workshop on Matrices and Statistics, 5–8 June 2010, Shanghai, China.

INFORMS MSOM Conference, 28–29 June 2010, Haifa.

Third Madrid Conference on Queueing Theory, 28 June–1 July 2010, Toledo, Spain.

LOFT9 2010, 9th Conference on Logic and the Foundations of Game and Decision Theory, 5–7 July 2010, Toulouse, France.

Fifth International Workshop in Applied Probability, 5–8 July 2010, Madrid, Spain.

SING 6, Sixth, Spain, Italy and The Netherlands meeting on Game Theory, 7–9 July 2010, Palermo, Italy.

24th European Conference on Operational Research, 11–14 July 2010, Lisbon, Portugal.

International Conference on Game Theory, 12–16 July, 2010, Stony Brook, NY, USA.

Second Brazilian Workshop of the Game Theory Society, 29 July–4 August 2010, São Paulo, Brazil.

2010 IMS Annual Meeting, 9–13 August 2010, Gothenburg, Sweden.

Workshop on Stochastic Methods in Game Theory, 8–16 September 2010, Erice, Italy.

ORP3, 13–16 September 2011, Cádiz, Spain.

American Mathematical Society

American Statistical Association

Applied Probability Trust

ArXiv

Bernoulli Society

CiteSeer^x

Ettore Majorana Foundation and Centre for Scientific Culture

Game Theory .net

Game Theory Society

Institute of Mathematical Statistics

Institute for Operations Research and the Management Sciences

Mathematical Association of America

Mathematical Atlas

MathSciNet

Probability Web

Society for Industrial and Applied Mathematics

Seminar on Strategy and Stochastics