Several Remarks on Banach–Mazur Games and its Applications Ewa Drabik

• Authors: Ewa Drabik
• Languages of publication: EN

Abstracts

EN

Certain type of perfect information games (PI-games), the so-called Banach-Mazur games, so far have not been applied in economy. The perfect information positional game is defined as the game during which at any time the choice is made by one of the players who is acquainted with the previous decision of his opponent. The game is run on the sequential basis. The aim of this paper is to discuss selected Banach-Mazur games and to present some applications of positional game

Keywords

EN

Banach-Mazur games; modelling of economic phenomena; Dutch auction; chess

• Publisher: Sciendo
• Journal: Foundations of Management
• Year: 2013
• Volume: 5
• Issue: 1
• Pages: 21-25

Dates

published

2013-06-01

online

2014-08-15

Contributors

author

Ewa Drabik

• Faculty of Management, Warsaw University of Technology, Warsaw, Poland

References

• [1] Duda R. - Lwow School of Mathematics. Wroclaw University Publishing House. Wroclaw 2007 (in Polish).
• [2] Cheng H. - Ranking Sealed High-Bid and Open Asymmetric Auction [in] Journal of Mathematical Economics 42, 2006, pp. 471-498.
• [3] Dixit A.K., Nalebuff B.J. - The Art of Strategy: A Game Theorist’s Guide to Success in Business & Life. Polish Edition by MT Biznes Ltd, Warsaw 2009 (in Polish).
• [4] Klemperer P. - Auctions: Theory and Practice. Princeton University Press, Princeton 2004.
• [5] Kuratowski K. Mostowski A. - Set Theory. Science. Publishing House PWN, Warsaw 1978 (in Polish).
• [6] Marzanowicz W., Zarzycki P. - Elementary theory of numbers. Science Publishing House PWN, Warsaw 2006 (in Polish).
• [7] Mauldin R.D. - The Scottish Book. Mathematics from the Scottish Café. Boston, Basel, Stuttgart, Birkhausen 1981.
• [8] Mycielski J. - Games with Perfect Information [in] Handbook of Game theory with Economic Application, eds. R.J. Aumann, S. Hart, t I, North-Holland, Amsterdam 1992, pp. 20-40.

Identifiers

DOI

10.2478/fman-2014-0002