Page 236 - DECO402_MACROECONOMIC_THEORY_PUNJABI
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smStI ArQSwsqr dy isDWq




                         È؇                                        C  = α Y t-1                            …(ii)
                                                                      t
                                                                  I  = β (C  – C  )                         …(iii)
                                                                   t     t  t-1
                                 smIkrx (2) dw smIkrx (3) iv`c pRiqsQwipq krx iv`c swƒ pRwpq huMdw hY –
                                                                I  = β (α Y  – α Y  )
                                                                t       t-1   t-2
                                                               I  = β α Y  – β α Y  )                       …(iv)
                                                                t      t-1     t-2
                                                                      G  = 1                                …(v)
                                                                       t
                                 smIkrx (2), (4) Aqy (5) ƒ smIkrx (1) iv`c pRiqsQwipq krx iv`c swƒ pRwpq huMdw hY –
                                                          Y   = 1 + α Y  + β α Y  – β α Y  )                …(vi)
                                                            t       t-1     t-1     t-2
                                                           = 1 + α (Y  + β α Y ) – β α Y
                                                                    t-1     t-1     t-2
                                                             = 1 + α (1 + β) Y  – β α Y                    …(vii)
                                                                           t-1     t-2
                                 sUmXulsn dy Anuswr, “jykr swnUM do AviDAW dI rwStrI Awmdn pqw hovy, qW AglI AviD dI rwStrI
                                 Awmdn, Bwirq joV (weighted sum) lYky, AwswnI nwl inkwlI jw skdI hY[ Bwr, insMdyh, sImWq apBog
                                 pRvriq dy nwl sMbMD dy cux gey mul`W qy inrBr krWgy[ ieh mMnky ik sImWq apBog pRivrqI dw mu`l jIro qoN
                                 v`D Aqy iek qoN G`t (0 < α < 1) Aqy qvrk dw mu`l jIro qoN v`D (β > 0) hY, sYmXulsn pMj pRkwr dy ckrIXy
                                 aqwr-cVwv dI ivAwiKAw krdw hY ijnW dw √≈≈ßÙ qwilkw 1 ivc id`qw igAw hY[”
                                 siQqI 1 sYmXUlsn dy ckrIX p~Q (cycleless path) nUM ivAkq krdI hY ikauNik ieh kyvl guxk pRBwv qy
                                 ADwirq hY Aqy qvrk ies ivc koeI kMm nhIN krdw[ ies nUM ic`qr 24.2 (A) iv`c idKwieAw igAw hY[
                                 siQqI 2 pirmMidq ckrIX p`Q (damped cyclical path) nUM ivAkq krdI hY, jo sQyiqk guxk p`Dr dy igrd aqrdw
                                 cVdw hY Aqy holI- holI aus p~Dr q`k bYT jWdw hY ijvyN ik ic`qr 24.2 (B) ivc idKwieAw igAw hY[


                                                            sYmXulsn dw prspr kirAw mofl
                                         siQqI                   mu`l                     ckr dw ivAwpwr
                                          1.                 α = .5, β = 0        ckrhIn p`Q
                                          2.                 α = .5, β = 1        pirmMidq auqwr-cfwau
                                          3.                 α = .5, β = 2        siQr ivsqwr dy auqwr-cfwau
                                          4.                 α = .5, β = 3        ivsPotwqmk ckr
                                                                                  ckrhIn ivsPotwqmk p`Q
                                          5.                 α = .5, β = 4

                                 siQqI 3 siqr ivsqwr (constant amplitudes) vwly ckrW nUM ivAkq krdI hY, jO Kud dy gux –pDr dy igrd
                                 bwr-bwr Gumdy hn[ ieh siQqI icqr 24.2 (C) ivc ivKweI geI hY[
                                 siQqI 4 pRiq-pirmMidq (anti-damped) Aqy ivsPotwqmk ckrW (explosive cycles) nUM pRkt krdI hY[iesdy
                                 leI dyKo icqr 24.2 (D)[
                                 siQqI 5 ckrhIn ivsPotwqmk auqy jWdy p~Q (Cycleless explosive upward path) nwl sMbMD rKdI hY, jo
                                 AwiKr virDI dI ckrvirDI ibAwz dr q`k phuMC jWdI hY, ijvyN icq`r 24.2 (E) ivc ivKwieAW igAw hY[
                                 ijnW pMj siQqIAw dI a`uqy ivAwiKAW kIqI geI hY,auhnW ivcON kyvl iqMn siQqIAW , nM. 2, 3, Aqy 4 dI hI
                                 pRkrqI ckrIX hY[ pr auhnW nuUM G`tw ky kyvl do hI r`KI jw skdI hY ikauik siQr ivsqwr nwl sMbMD rK`x
                                 vwlI siQqI nM. 3 AnUBv ivc nhI AweI hY[ ijQy q`k pirmMidq ck`rW dI siQqI nM. 2 dw sMbMD hY , ieh jykr
                                 inXimq rUp nwl qW nhI, pr ipC`lI A`DI SqwbdI ivc holI rUp ivc G`tdI rhI hY[ “Awmqor qy XuDkwlIn



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