id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ijassa-1421	Kotyukov, Alexander; Nataliya, Pavlova	Nonuniqueness of Equilibrium in Closed Market Model	2023	11	.pdf	application/pdf	4271	293	78	Subtract (ln c1i + ln c2i)/2 from the inequalities (3.12): ln c1i − ln c1i + ln c2i 2 ≤ (A−1ω)i − ln c1i + ln c2i 2 , (A−1ω)i − ln c1i + ln c2i 2 ≤ ln c2i − ln c1i + ln c2i 2 , i = 1, n. Thus, − ln c2i − ln c1i 2 ≤ (A−1ω)i − ln c1i + ln c2i 2 ≤ ln c2i − ln c1i 2 , i = 1, n. Hence, we have: ∣∣∣∣(A−1ω)i − ln c1i + ln c2i 2 ∣∣∣∣ ≤ ln c2i − ln c1i 2 , i = 1, n. By dividing this inequality by (ln c2i − ln c1i)/2 > 0 we obtain: 2 ln c2i − ln c1i ∣∣∣∣(A−1ω)i − ln c1i + ln c2i 2 ∣∣∣∣ ≤ 1, i = 1, n. Copyright © 2023 ASSA. a11 ln c21 + a12 ln c22, (3.21) in the model σ there exist an infinite number of equilibrium prices vectors belonging to the set: ln p2 = ω1 − a11 ln p1 a12 , ln c11 ≤ p1 ≤ ln c21.	cache/ijassa-1421.pdf	txt/ijassa-1421.txt
