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Biomathematics and game theory

General data

Course ID:	1000-1L12BTG
Erasmus code / ISCED:	11.943 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0619) Information and Communication Technologies (ICTs), not elsewhere classified The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Biomathematics and game theory
Name in Polish:	Biomatematyka i teoria gier
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Proseminars for Mathematics
Course homepage:	https://moodle.mimuw.edu.pl/course/view.php?id=614
ECTS credit allocation (and other scores):	2.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
Type of course:	proseminars
Short description:	Mathematical modelling of various pehnomena originating from biology or social sciences.
Full description:	Mathematical models of interacting populations and models of individuals interacting within one single population will be proposed and discussed. In particular, the equilibrium states of such populations, their stability and local dynamics of the populations around the equilibria will be studied. We focus on models of various biological and social phenomena, including processes of tumor growth, reactions of immunological systems, social dilemmas and their solutions. As mathematical tools, the differential and difference equations as well as the strategic and coalitional games will be applied, however we do not exclude other approach to mathematical modelling. After a series of introductory lectures the participants will be asked to choose one of the proposed topics. The work on the chosen topic will be individual or in two--person groups.
Bibliography:	1. J. D. Muray, Wprowadzenie do biomatematyki, Warszawa PWN, 2006. 2. U. Foryś, Matematyka w biologii, Warszawa WNT, 2005. 3. J. Uchmański, Klasyczna ekologia matematyczna, Warszawa, PWN 1992. 4. L. Edelstein-Keshet, Mathematical Biology, New York, 1988 5. M. Malawski, A. Wieczorek, H. Sosnowska, Konkurencja i kooperacja. Teoria gier w ekonomii i naukach społecznych, PWN, 1997. 6. P. D. Straffin, Teoria Gier, Scholar 20017. 7. M. J. Osborne, A. Rubinstein, A Course in Game Theory, MIT Press 2004 8. H. Gintis, Game Theory Evolving, Princeton Press 2000
Assessment methods and assessment criteria:	(in Polish) Do zaliczenia proseminarium niezbędne jest: obecność i aktywność na zajęciach; wygłoszenie co najmniej jednego referatu w każdym semestrze; złożenie pracy licencjackiej.

Classes in period "Academic year 2024/25" (past)

Time span:	2024-10-01 - 2025-06-08	Selected timetable range: weekly course term Go to timetable MO TU W TH PSEM FR
Type of class:	Proseminar, 60 hours more information
Coordinators:	Dominika Machowska, Aleksandra Puchalska, Agnieszka Wiszniewska-Matyszkiel
Group instructors:	Dominika Machowska, Aleksandra Puchalska, Agnieszka Wiszniewska-Matyszkiel
Students list:	(inaccessible to you)
Credit:	Pass/fail

Classes in period "Academic year 2025/26" (future)

Time span:	2025-10-01 - 2026-06-07	Selected timetable range: weekly course term Go to timetable MO TU W TH PSEM FR
Type of class:	Proseminar, 60 hours more information
Coordinators:	Marek Bodnar, Dominika Machowska, Agnieszka Wiszniewska-Matyszkiel
Group instructors:	Marek Bodnar, Dominika Machowska, Agnieszka Wiszniewska-Matyszkiel
Students list:	(inaccessible to you)
Credit:	Course - Pass/fail Proseminar - Pass/fail

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