From the following matrix game identify the set of players t

From the following matrix game, identify the set of players, their strategy sets, and their payof functions 2 U 4,1 0,2 M 0,0 4,0 D 1,31,2

From the given matrix: The set of players : {1,2} because there are two players i.e 1 and 2.

Strategy set for player 1 : { U , M, D } and for player 2 : { L,R }.

Their pay-off functions : for player 1 choosing U : { (4,1 ) , (0,2)} , for choosing M : {(0,0) , 4,0) } and for choosing D : {(1,3) , (1,2)} .

For player 2 choosing L : {(4,1), (0,0) ,(1,3) } and for choosing R : {(0,2) ,(4,0) , (1,2) }

In all these , first one represent the first player pay-off and second represents the player 2 pay-off.

Nash equilibrium for this game: when player 1 choose M and player 2 chooses R. {M,R}.