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March 14th, 2012, 09:04 PM   #1
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Analyzing a game for fairness? (game theory question)

Hi,

Please see the attached picture. Table 1 in the picture shows the payoffs of a 2-player game, similar to the Rock Paper Scissor game. In this game, the two player (Stephen and Maude) show either one or two fingers at the count of three. If the sum of the total fingers shown is an even number Stephen wins and Maude pays him a number of dollars equal to the sum. For example if both of them show 1 finger each, Stephen gets $2 from Maude. If the sum is an odd number, Stephen has to pay the amount to Maude. The first number in each cell is Stephen’s payoff and the second number is Maude’s payoff.

I am trying to find [color=#0000FF]a way to figure if the game is fair or biased towards one player[/color]. How can I do that just by looking at such a payoff table.

Table 2 is the payoff table for the game in which the two players can show up to three fingers. How should I analyze a game like that for fairness?

Thanks.

Cross posted here http://www.physicsforums.com/showthread.php?p=3799709
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File Type: zip Stephen and Maude.zip (170.3 KB, 18 views)
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