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Michael Bahir Maschler (Hebrew: מיכאל בהיר משלר; July 22, 1927 – July 20, 2008) was an Israeli mathematician well known for his contributions to the field of game theory. He was a professor in the Einstein Institute of Mathematics and the Center for the Study of Rationality at the Hebrew University of Jerusalem in Israel.
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Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.
Aumann and Maschler used game theory to analyze Talmudic dilemmas. [5] They were able to solve the mystery about the "division problem" , a long-standing dilemma of explaining the Talmudic rationale in dividing the heritage of a late husband to his three wives depending on the worth of the heritage compared to its original worth. [ 6 ]
In game theory, a solution concept is a formal rule for predicting how a game will be played. These predictions are called "solutions", and describe which strategies will be adopted by players and, therefore, the result of the game. The most commonly used solution concepts are equilibrium concepts, most famously Nash equilibrium.
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