Page 168 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math10-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N d'BK B{z se;hw eoB s/

ns/

fJZE/ T[jh Bshik gqkgs j'fJnk fijVk gfjbh ftXh d/ ;wheoD (A) s'A gqkgs j[zdk j?.
;wheoD dk g{oD fBy/VB (Total differentiation) eoB s/

d{i/ eqw (Second Order) dhnK PosK d/ bJh d{i/ fBy/Ve dk j/; ;kofDe (Bordered Hession
Determinant) j'Dk ukjhdk j?. fJ; bJh

HHHH(7)

;wheoD (7) dk ft;sko eoB s/
2
f 11 (0.f 22 – p 2 ) – f 12 (0.f 21 – p 1 p 2 ) – p 1 {f 21 (–p 2 ) – f 22 (–p 1 )} > 0
2
2
iK f 11 p 2 – f 12 p 1 p 2 + f 21 p 1 p 2 (– f 22 ) (– p 1 ) > 0
2
2
iK f 11 p 2 – 2f 12 p 1 p 2 + f 22 p 1 > 0

fJZE/ T[j ;wkB Bshik gqkgs j[zdk j? fijVk gfjbh ftXh ftZu ;wheoD (5) s'A gqkgs j[zdk j?.

B'N; n;hA efjzd/ jK fe T[g:'rsk tZX s'A tZX dhnK d'jK ftXhnK d[nkok ;wkB Bshi/
gqkgs j[zd/ jB.

T[dkjoD L T[dk;hBsk teo dh ;jkfJsk Bkb T[gG'esk fttjko f;XKs dh rfDse
ftnkfynk eo'.

(Discuss Mathematically the theory of consumer’s behaviour with the help of Indifference
curve Technique.)
jZbL fJZe T[gG'esk dh nkwdB ;fEo ofjzdh j? ns/ fJZe ftt/ePhb T[gG'esk T[; nkwdB s'A
tZX ;zs[PNh gqkgs eoBk ukj[zdk j?. fi; fpzd{ T[Zs/ T[gG'esk B{z tZX s'A tZX ;zs[PNh gqkgs j[zdh
j?, T[j T[gG'esk ;zs[bB ejkT[Adk j?.
T[gG'esk ;zs[bB dh ;fEsh T[; dPk ftZu j[zdh j?, id'A piN o/yk iK ehws o/yk T[dk;hB teo
B{z ;goP eodh j?. d{i/ PpdK ftZu, piN o/yk dk Ykb ns/ T[dk;hB teo dk Ykb ;wkB j'D s/
T[gG'esk ;zs[bB dh ;fEsh ftZu j[zdk j?. rfDse o{g ftZu ;hwKs gqfs;EkgB dh do (T[dk;hB
teo dk Ykb) ns/ d'B'A t;s{nK d/ ehws nB[gks (piN o/yk dk Ykb) ;wkB j'D sK T[gG'esk
;zs[bB dh ;fEsh ftZu j[zdk j?.
T[dk;hB teo gqDkbh ftZu T[dk;hBsk teo d/ Ykb B{z ;hwKs T[g:'rsktK d/ nB[gks ftZu
gfoGkfPs ehsk frnk j? ns/ piN o/yk d/ Ykb B{z ehwsK d/ nB[gks d[nkok gfoGkfPs ehsk
frnk j?. Gkt
T[dk;hBsk dk Ykb & ;hwKs T[g:'rsktK dk nB[gks

162 LOVELY PROFESSIONAL UNIVERSITY