Abstract:
Deal or No Deal is a television game show that involves one
contestant, one banker and 26 briefcases containing different dollar values ranging
between one cent and one million dollars. The allocation of dollar amounts
inside the briefcases is unknown prior to the game to both the contestant and
the banker. The contestant selects one briefcase to start the game that remains
closed until the end. The game is played to a maximum of nine rounds, with a
certain number of briefcases opened each round, revealing the dollar amounts.
After every round the banker will submit a dollar offer to the contestant in an
attempt to buy the contestant’s briefcase.
In this paper, the question of interest is how exactly the banker determines
the offer for each of the nine rounds that will be given to the contestant. This
paper will focus on the formulation of the banker’s offers. The data set
collected by playing the online National Broadcasting Corporation (NBC) version
and by watching the television (NBC) version of the games how are both
analyzed to develop and compare several candidate models for the banker’s offers.
These models will then be tested on new data points to determine how well
the banker’s offer can be predicted for the online and television versions of the
game show Deal or No Deal.