I'm self studying my way through Varian's Microeconomic Analysis right now and am having trouble answering this question:
Consider preferences defined over the nonnegative orthant by $(x_1, x_2) \succ (y_1, y_2)$ if $x_1+ x_2 < y_1+ y_2$. Do these preferences exhibit local nonsatiation? If these are the only two consumption goods and the consumer faces positive prices, will the consumer spend all of his income? Explain.
The solution manual says the preferences are locally non satiable except at (0,0) but I don't know why that is.
any help would be greatly appreciated.