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O;f"V vFkZ'kkL=k osQ fl¼kar




                    uksV          ,slk uSfrd Hk; dh leL;k osQ dkj.k gksrk gS fd chek oaQifu;k¡ vuqowQy ;k bZekunkjh laHkkouk
                                  (favourable or fair odds) ij izhfe;e is'k ugha djrh gSaA os uSfrd Hk; dh leL;k dks de djus ;k
                                  jksdus osQ fy, chek [kjhnus dh 'krZ esa O;fDr (;k iQeZ) ls oqQN fo'ks"k izdkj osQ O;ogkj dks 'kkfey djrh
                                  gSaA mnkgj.kkFkZ] chek oaQiuh ,d edku ekfyd ;k iQeZ dks chek osQoy rHkh is'k dj ldrh gS ;fn mlesa
                                  ,d vkx lwpd ;a=k yxk;k tk,] ,d O;fDr osQ LokLF; dk chek gks ldrk gS ;fn okf"kZd 'kkjhfjd tk¡p
                                  (check-up) dh tkrh gS] vkSj ckj&ckj nq?kZVukxzLr Mªkbojksa dk izhfe;e c<+k;k tk ldrk gSA vr% chek
                                  oaQifu;k¡ vkx] chekjh ;k nq?kZVuk dh laHkkoukvksa dks de djosQ chfer O;fDr;ksa osQ nkoksa dk Hkqxrku rFkk
                                  la[;k dks de djrh gSaA bl izdkj] os de ckj Hkqxrku djrh gSa vkSj de izhfe;e ysrh gSaA fiQj] mUgsa
                                  izhfe;e rFkk lqjf{kr tksf[ke dh lhek osQ b"Vre ;ksx dh x.kuk djuh gksrh gSA os fofHkUu xzkgdkssa dks
                                  fofHkUu vuqcaèk is'k djrh gSaA mPp&tksf[ke okys xzkgdksa ls mPp izhfe;e fy;k tkrk gS rFkk mUgsa iw.kZ laj{k.k
                                  feyrk gS] tcfd de tksf[ke okys xzkgdksa ls de izhfe;e fy;k tkrk gS rFkk mUgsa osQoy vkaf'kd laj{k.k
                                  izkIr gksxkA
                                  ,d O;fDr ij fopkj dhft, ftlosQ ?kj dk ewY; W gSA ;fn vkx yxrh gS rks mldk èku osQoy W  =
                                                                                                            2
                                  W–d gksrk gS] ftlesa  d ?kj dk eyck gSA ;fn og O;fDr α  izhfe;e] chek oaQiuh dks vkx osQ fo#¼
                                                                                1
                                  nsdj ?kj dk chek djokrk gS rks blosQ cnys esa mls α  Hkqxrku tk,xk] ;fn ?kj dks vkx yxrh gSA ;fn
                                                                           2
                                  vkx ugha yxrh rks mldk èku W  = W– α  gksxk] tks chek izhfe;e gS ftldk og Hkqxrku djrk gSA ;fn
                                                          1       1
                                  vkx yxrh gS rks mldk èku W  = W – d + α  gksxkA
                                                          2           2
                                  ,d chek oaQiuh tksf[ke izfrowQy gksus osQ dkj.k] uSfrd Hk; dh ek=kk de djus osQ fy, vius xzkgd dks
                                  de vuqowQy laHkkO;rk,¡ (less favourable odds) is'k djrh gSA fp=k 29-2 esa fn[kk;k x;k gSA fcanq P
                                  ls izkjaHk dhft, tks mldk èku ;k fcuk chek osQ ?kj dk ewY; iznf'kZr djrk gSA vkx dh fLFkfr esa] mldk
                                  èku OF rd de gks tk,xkA ;g eku fy;k tkrk gS fd vkx u yxus dh laHkkO;rk] vkx dh laHkkO;rk
                                  dk 3 xquk gS vFkkZr~ 3 to 1- bls ml O;fDr dh ctV js[kk dh <yku B  }kjk fn[kk;k x;k gS tks 1@3 (3
                                                                                       1
                                  to1) laHkkO;rk iznf'kZr djrh gSA vc ekuk fd ?kj dk ekfyd chek ikWfylh ysrk gSA ;g ekudj fd vkx
                                  1 ls 3 (1 to 3) laHkkO;rk ls yxrh gS] og fcanq E pqurk gS] ftl ij mldh ctV js[kk B  rFkk mnklhurk
                                                                                                   1
                                  oØ I  Nwrs gSaA fcanq E ?kj osQ ekfyd osQ fy, ,d tksf[ke&eqDr ¯cnq gS tks 45° js[kk osQ lkFk gS D;ksafd
                                      1
                                  α = NN  chek izhfe;e Hkqxrku djus osQ ckn mldk èku W  = W–α  ;k ON  = OF jg tkrk gS]
                                   1      1                                     1       1      1     1
                                  vkx yxs ;k u yxsA vr% og ?kj dh vkx osQ fo#¼ ,gfr;kr ugha ysxk rFkk vkx yxus dh laHkkouk
                                  lokZfèkd gksrh gSA è;ku nhft, fd 45° js[kk osQ W  = W ;k W– d + α  = W– α  gS] blfy, chek
                                                                        2                2        1
                                  oaQiuh dk Hkqxrku vkx yxus dh fLFkfr esa osQoy ?kj dh gkfu gh 'kkfey djrk gSA bl izdkj] chek oaQiuh
                                  dHkh mls 3 ls 1 dh laHkkouk is'k ugha djsxhA tkssf[ke vfuPNqd gksus ls] chek oaQiuh chek ikWfylh dks
                                  uSfrd Hk; osQ fo#¼ viuh lqj{kk rFkk ikWfylh esa oqQN 'krs± j[k dj] ?kj dh iwjs ewY; ls cgqr de ij chek
                                  ikWfylh foØ; djrh gSA ,slh fLFkfr fp=k 29-2 esa fn[kkbZ xbZ gSA tgk¡ ?kj osQ ekfyd dk larqyu fcanq R

                                                                     fp=k 29-2

                                                           W
                                                             1
                                                                 Moral Hazard  45°
                                                          No Fire  N N 1  P  R  E  I 1

                                                                           I
                                                                            2
                                                                                  B
                                                                                    1
                                                                               B
                                                                                 2
                                                               45°
                                                            A
                                                                  FF    F   Fire
                                                                     2   1        W 2

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