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Patterns in the Lottery Game In the frame of the study we used the 7x7 matrix with numbers ranging from 1 to 49 and gave the following instructions: “In the frame of the game you must fill in a lottery ticket. You have to mark 6 numbers in the range of 1 to 49, located in the 7x7 quadrant lottery ticket. The winner will be the person whose chosen numbers least resemble those of the other players. For of each and every student we shall individually determine exactly how many players marked his/her numbers and the player whose aggre- gated sum is the lowest will be the winner”. The students had to fill in the lottery ticket during class within the same amount of time, but independently of each other, by clearly marking the chosen 6 numbers on their “lottery” ticket. Independent choice was assured by the fact that in general, the students did not know each other. The foreign students (aged: 21 to 25 years) usually represented 8-10 different countries, while the Hungarian students (aged: 22 to 24 years) usually came from different pro- grams. In general, they were not aware of the game or its logic, thus we were able to ensure that they did not have any previously conceived concept of the strategic choice to be made. Proper participation was further motivated by the fact that we awarded some extra study points to the winner – as a “prize” – in addition to the overall points achieved throughout the semester. The filled in lottery tickets were collected after each game and the total number of times each numeric value from 1 to 49 was marked was noted on an empty ticket. The overall points of the individual players were determined by adding together the number of times each of the individual numbers marked by the player had been also marked by others. The winner was the person whose overall points was the lowest, i.e. his/her numbers had been marked the least by the other players. The results were shown to the students. We hypothesized that in such games (lottery type, related to numeric combi- nation choice), where the players decide upon their strategy (choice of numbers) by also taking into consideration others’ expected choices, the winning strate- gy is characteristically some consciously chosen scheme or pattern as opposed to a random one. In the frame of our study, we analyzed and evaluated (with special attention paid to the winning choices) the results of the 18 individual games jointly. We have determined the “hot-numbers” (most often marked) and the “cold-num- bers” (least marked) both on a per game basis, as well as, on an overall basis. The two “extremes” were marked on a 7x7 matrix with color coding to enable an easier determination of the characteristics and distribution of the choices. We displayed the winning combinations on the summary tables, thus ensuring that we be able to differentiate between random and conscious strategic choic- es. The “hot” and “cold” numbers of the Hungarian and foreign students were analyzed both separately and jointly which provided us with the possibility of identifying possible culture-based differences. 61PDF Image | PATTERNS IN THE LOTTERY GAME
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