Two players simultaneously name fractions of the pie that they would like to take for themselves (between 0 and 1). If the two fractions add up to 1 or less, both players get the fractions that they called out. (If they both call out 1⁄2, they each get 1⁄2). If the two fractions add up to more than 1, they both get nothing (If they both call out 2/3, they both get nothing). What are the Nash equilibria of the game?
LETS TAKE EXAMPLE OF SOME VALUES-
WE TOOK 3 VALUES 1/3 1/2 AND 2/3
AND USING THEM FORMED A NORMAL FORM OF GAME AND SOLVED IT.
FROM THIS EXAMPLE WE CAN GENRALISE THAT WHEN THE SUM OF PAYOFFS= 1 THEN THE NASH EQUILIBRIUM OCCURS SO ALL THE PAYOFFS WHICH GIVES SUM OF 1 ARE NASH EQUILIBRIA.
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