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Consider a game whereN={1,2}andS1={X,Y}andS2={A,B}. Letpmix= (pX,(1p)Y) andqmix= (qA,(1q)B) be generic mixed strategies of players 1 and 2, respectively. Letqbe such thatU1(X,(qA,(1q)B)) =U1(Y,(qA,(1q)B)). Show that for

Consider a game whereN={1,2}andS1={X,Y}andS2={A,B}. Letpmix= (pX,(1p)Y) andqmix= (qA,(1q)B) be generic mixed strategies of players 1 and 2, respectively.

Letqbe such thatU1(X,(qA,(1q)B)) =U1(Y,(qA,(1q)B)).

Show that for anyp;

U1((pX,(1p)Y),(qA,(1q)B)) =U1(X,(qA,(1q)B)).

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