النتائج (
العربية) 1:
[نسخ]نسخ!
the definition of equilibrium. If i-(p, a) > 0, then there is a contract that offers slightly more consumption in each state of nature, which still will make a profit when all individuals buy it. All will prefer this contract to a, so a cannot be an equilibrium. Thus, i-(p, a) = 0, and a lies on the market odds line EF (with slope (1 - p)/p). It follows from (1) that at a the slope of the high-risk indifference curve through a, U[H, is (pL/l - pL) (1 - pH/pH) times the slope of UL, the low-risk indifference curve through a. In this figure UH is a broken line, and UL a solid line. The curves intersect at a; thus there is a contract, A in Figure II, near a, which low-risk types prefer to a. The high risk prefer a to A. Since A is near a, it makes a profit when the less risky buy it, (r(pL, f) (pL, a) > 7r(p, a) = 0). The exis- tence of A contradicts the second part of the definition of equilibrium; a cannot be an equilibrium.
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