( p 1 , p 2 )

Price Pattern for n = 2

p 1 p 2 λ N E ¯ ( n )

lim k + p 1 ( k ) = lim k + p 2 ( k ) = λ N E ¯ ( n )

p 1 λ N E ¯ ( n ) p 2 λ N E _ ( n )

lim k + ( p 1 ( 2 k ) , p 2 ( 2 k ) ) = ( λ N E ¯ ( n ) , p 2 ) ,

lim k + ( p 1 ( 2 k + 1 ) , p 2 ( 2 k + 1 ) ) = ( p 2 , λ N E ¯ ( n ) )

p 1 λ N E ¯ ( n ) λ N E _ ( n ) p 2

lim k + ( p 1 ( 2 k ) , p 2 ( 2 k ) ) = ( λ N E ¯ ( n ) , λ N E _ ( n ) ) ,

lim k + ( p 1 ( 2 k + 1 ) , p 2 ( 2 k + 1 ) ) = ( λ N E _ ( n ) , λ N E ¯ ( n ) )

λ N E ¯ ( n ) p 1 p 2 λ N E _ ( n )

( p 1 ( 2 k ) , p 2 ( 2 k ) ) = ( p 1 , p 2 ) ,

( p 1 ( 2 k + 1 ) , p 2 ( 2 k + 1 ) ) = ( p 2 , p 1 ) , k N .

λ N E ¯ ( n ) p 1 λ N E _ ( n ) p 2

lim k + ( p 1 ( 2 k ) , p 2 ( 2 k ) ) = ( p 1 , λ N E _ ( n ) ) ,

lim k + ( p 1 ( 2 k + 1 ) , p 2 ( 2 k + 1 ) ) = ( λ N E _ ( n ) , p 1 )

λ N E _ ( n ) p 1 p 2

lim k + p 1 ( k ) = p 2 ( k ) = λ N E _ ( n )