Answer Happy

Show whether each of the following ≥ are (i) complete and (ii) transi- tive. In addition, for each preference, come up with a real life example of someone having preferences like these (it's helpful to come up with what goods x and y could be in each case). For all parts assume x, y are two dimension real vectors. (a) xy if and only if x₁ > y₁ and x2 > Y2 (b) x y if and only if min {x₁, x2} ≥ min {y₁, Y2} (c) x ≥y if and only if x₁ = y₁ + 1 and x2 = y2 + 1