Institute of Mathematics and Computer Science

Wrocław University of Technology

Game Theory and Mathematical Economics

Seminar on
Stochastic Models - Optimization - Game Theory

Time and Place:

Tuesday 13:15 ,
Room 211,
Building C-11,
Institute of Mathematics

The research group members:

Coordinators:

Prof. Andrzej S. Nowak, ZU

 

 

Dr hab. Tadeusz Radzik
Professor of WUT

 

 

Dr hab. Krzysztof Szajowski,
Professor of WUT

 

 


Participants of the seminar:

Dr hab. Zdzislaw Porosinski

 

 

Dr. Anna Jaskiewicz

 

Dr. Roman Sadovyi

Dr. Bogdan Muciek

 

Dr. Artur Suchwalko

Dr. Wojciech Polowczuk

 

Dr. Piotr Szajowski

Dr. David Ramsey

 

Dr. Piotr Wiecek

 

Lukasz Balbus, M.Sc.

 

Anna Pogonowska, M.Sc. 

Agnieszka Chmielecka, M.Sc.

 

Wojciech Sarnowski, M.Sc. 

Joanna Jarosz-Nowak, M.Sc.

 

 

Former group members

prof. Rastislav J. Telgarsky                                                                      

dr inż. Jerzy Legut

 

Current research activities and projects include:

  • Equilibria in the following classes of dynamic games:
    • (a) stochastic games with a continuum of states,
    • (b) games related with optimal stopping problem,
    • (c) strategic market games.
  • The theory of value for cooperative games including the weighted Shapley values and their applications in resource allocation procedure.
  • Applications of the game theory and stochastic processes in finance theory and insurance.

Publications of the group:

  1. A.S.Nowak(1985), Universally measurable strategies in zero-sum stochastic games, Ann. Probab. 13, pp.269-287.
  2. J. Legut(1986), Market games with a continuum of indivisible commodities, J.Game Theory 15, pp.1-7.
  3. A.S.Nowak,T.E.S. Raghavan(1992), Existence of stationary correlated equilibria with symmetric information for discounted stochastic games, Math. Oper. Res. 17, pp.519-526.
  4. A.S.Nowak, T. Radzik(1993), On axiomatization of the weighted Shapley values, Games and Economic Behaviour.
  5. T.Radzik(1991), Pure strategy epsilon-Nash equilibrium in two-person non-zero-sum games, Games and Economic Behaviour 3, pp.356-367.
  6. T.Radzik(1993), Nash equilibria of discountinuous non-zero-sum two-person games, Internat. J. Game Theory 21, pp.429-437.
  7. G. Ravindran, K.Szajowski(1992), Non-zero-sum game with priority as Dynkin's game, Math. Japonica 37, pp.401-413.
  8. K.Szajowski(1992), On non-zero-sum game with priority in the secretary problem, Math. Japonica 37, pp.415-426.
  9. R. Telgársky (1974), On topological properties defined by games, in: Topics in Topology (Proc. Colloq. Keszthely 1972), Colloq. Math. Soc. J. Bolyai, Vol. 8, North-Holland, Amsterdam , pp. 617-624.
  10. R. Telgársky (1975), Spaces defined by topological games, Fund. Math. 88, pp. 193-223.
  11. R. Telgársky (1983), On sieve-complete and compact-like spaces, Topology Appl. 16, pp. 61-68.
  12. F. Galvin and R. Telgársky (1986), Stationary strategies in topological games, Topology Appl. 22, pp. 51-69.
  13. R. Telgársky (1987), Topological Games: On the 50th Anniversary of the Banach-Mazur Game, Rocky Mountain J. Math. 17, pp. 227-276.

 

 

Info about recent publications are available on personal home pages.

 

 

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