Better versus longer series of heads and tails

• Autorzy: Krech I.
• Języki publikacji: EN

Abstrakty

EN

This article considers a part of games theory by Penney. We intuitionally believe that a shorter series is always a better one. We will prove that this is not always so, and a longer series may happen to be better (see also [1]). In the case of Penney's game, in which players can choose their series, the proved theorems an be a part of a player's game strategy.

Słowa kluczowe

EN

games theory; game strategy

PL

teoria gier; strategia gier

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2011
• Tom: Vol. 16
• Strony: 55--60
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Krech I.

• Institute of Mathematics, Pedagogical University of Cracow ul. Podhorążych 2, PL-30-084 Cracow, Poland

Bibliografia

• [1] I. Krech, P. Tlusty. Waiting time for series of successes and failures and fairness of random games. Scientific Issues, Catholic University in Ruzomberok, Mathematica, II, 151-154, 2009.
• [2] W. F. Penney. Problem 95: Penney-Ante. Journal of Relational Mathematics, 7(4), 321, 1974.
• [3] A. Płocki. Stochastyka dla nauczyciela, Wydawnictwo Naukowe NOVUM, Płock 2007.
• [4] R. L. Shuo-Yen. A martingale approach to the study of occurrence of sequence patterns in repeated experiments. Annals of Probability, 8(6), 1171-1176, 1980.