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127

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"OwW|t XNWt 'Ow@"u=t}B |xtD=N =} MUi Q@ xQm =Pt |QDQ@ � swO s=o

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f�r � Pt0 ;�CVt0 �mghf�Pgt;+�Cgt � CVgtgr + Pt0iPgt (15)

CVt0 +mi ��Cgt + CVgt (16)

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%�17 |x]@=Q� OQm Oy=wN |Q}os}tYD

g1 = fx : r + Pt0iPxt&CVt0 +mi ��Cxt + CVxtg (17)

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f�R� Pt00 +G;�CVt0 �M �Gghf�Pgt;+�Cgt � CVgtgR+ Pt00 �GiPgt (18)

CVt0 +M +Gi ��Cgt + CVgt (19)

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CVt0 +mi ��Cht + CVht + Lht

mi ��Cht + CVht � CVt0 + Lht (12)

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�Pht + Lhti � PgtLhtiPht � Pgt (13)

%CW=O s}y=wN =Q 14 |x]@=Q '13 w 12 |x]@=Q wO ?}mQD R=Pht � PgthLhthCVt0 +m+ �Cht � CVht (14)

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"CU= xOW x�=Q= 10 pmW QO SPNE VwQ x@ pw= Cr=L �4

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128

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%CU= xOt; CUOx@ 24

= maxf;d

(f1 � d1)w1 :(f2 � d2)w2 (24)

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%�23f�Pht + Lht;+�Cht � CVht � Lhtghf�Pgt;+�Cgt � CVgtg�Pht + Lhth�PgtLhthPht � Pgt (21)

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130

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131

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"CW=O Oy=wNCtU x@ QDW}@ =Q Q=mv=t}B 'OyO xwrH QDW}@ =Q OwN O}rwD OwU QOkJ Qy =tQiQ=m "2

"Ovm|t p}=tDt QDW}@ u=tR u=Q@H w nQR@ |=ygu}=Q@=v@ "CW=O Oy=wN |QDq=@ CUO =tQiQ=m '\@=wQ `}}[D |xv} Ry V}=Ri= =@ "3

"CU=tQiQ=m `[wt C} wkD Ea=@ QDq=@ |ov}Okv u=} QH w uOw@ s=vVwN

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g2 =fx : Pxt < max(r + Pt0 ; Pht � Lht);�Cxt + CVxt

< max(CVt0 +m;�Cht + CVht + Lht)g (27)

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"OQm Oy=wN ?=NDv= 'Ovm |w xHwDt =Q Ot=}Bu=Wv =Q Q}N-=D =@ xH=wt |xSwQB l} |=Q@ |Q}os}tYD u=} QH Q=Owtv '12 pmWQO xDioV}B |=yVwQ ltm x@ xQm =Pt |xR=@ u}}aD R= TB p=L Qy x@ "OyO|tw p} RvD pt=a u}}aD w �|mUv}OQwtU= � |}q=m '|v=RQ=y � Vv� C=}@O= Q@ QwQt"OQw; CUOx@ =Q ji=wD j}kO |x]kv u=wD|t 'u=vm} R=@ |xrYwL w Q@Y u=R}t

Q=mv=t}B w =tQiQ=m |=y|SD=QDU= "6x@ Q=mv=t}B w =tQiQ=m |=Q@ =Q |}=yOQ@y=Q u=wD|t u; p}rLD w xOWx�=Q= pOt T=U=Q@

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132

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|Q}oxH}Dv "7pt=wa |}=U=vW w OyO |wQ |OOaDt p}qO x@ Ov=wD|t |v=Qta |=yxSwQB QO Q}N-=DpOt l} |x�=Q= ut[ Q=DWwv u}= "CU= xDiQo Q=Qk xar=]t OQwt =yQ=@ u; QO QF-wt|xr�Ut =@ Q}oQO u}iQ] OQ@y=Q w Q=DiQ p}rLD x@ s=o x@ s=o |OQm} wQ =@ |[=} Q|rL x=Q |x�=Q= w CN=U C=aR=vt wv u}= pYi w pL xD@r= "CU= xDN=OQB Q}N-=D'xSwQB Qy |=Q@ �Q}N-=D =@ xH=wt |=yxSwQB |R=@ CNQO� |x�=Q= j} Q] R= XNWtx@ pOt u}= "CU= xOW s=Hv= VywSB u}= QO Q=@ u}rw= |=Q@ xm CU= xOw@ |t=Ok='Q}N-=D |xr�Ut R= QDj}ta |mQO ?Um ut[ =D Ovm|t ltm u=Q=mv=t}B w u=}=tQiQ=mu}vJ =@ xyH=wt QO umtt |=yOQ@y=Q w OwN C}akwt R= j}kO ,=D@Uv |r}rLD x@

"OvUQ@ |]}=QWQO Ovv=wD|t xr�Ut QO p}NO |=yQDt=Q=B xm Ci=} QO u=wD|t pOt p}rLD =@xQm =Pt xR=@ 'OW=@ QDW}@ =tQiQ=m |vRxv=J u=wD xJ Qy &OvW=@ QF-wt xQm =Pt |xR=@CaUw|v=Q@H |=yu=tR u; Vy=m =@ w O@=}|t VQDUo QDW}@ |v=Q@H |=yu=tR CtU x@

"OvwW|t Q@DatQ}e nQR@QO Ov=wD|t 'OW=@ xSwQB |=yQDt=Q=B Q}=U =@ ?U=vDt=v Q}N-=D |xt} QH xJv=vJQ}N-=D |xt} QH OL R= V}@ |oQR@ =@ xm =vat u}= x@ &OW=@ QF= |@ xQm =Pt |xH}Dv=@ w CU= Q=}at =yvD u=t}B |xtD=N =} MUi =@ ji=wD Ot=}B |xU}=kt '=tQiQ=m |=Q@Q}N-=D |xt} QH 'u}=Q@=v@ "OQ=Ov Q}N-=D CyH R= |v=Qov Q=mv=t}B 'R}v u; uOw@lJwmxR=@ QO Ov=wD|t Q}N-=D |xt} QH CUQO ?=NDv= =t= "OwW|t QF=|@ xQm =Pt xR=@ QOxv=@r]w=O CQwYx@ Q=mv=t}B w O}OyD uwO@ =tQiQ=m xm |wLv x@ 'OW=@ Q=PoQF= xQm =PtCUO Q}N-=D R= |k]vt |v=tR u=Q@H |=Q@ |ki=wD x@ |tm |xv} Ry w u=tR hQY =@

"Ov@=}CQOk V}=Ri= =@ xm OwW|t x_Lqt xOWx�=Q= |OQwt |xar=]t QO CkO =@w Ovm|t p}t QDx=Dwm |=yO}OtD u=tR CtU x@ ji=wD |x]kv '=tQiQ=m |vRxv=J

"Tmar=@=Q xQm =Pt Ov=wD|t |}=y|oS} w xJ xm CU= xO=O u=Wv pOt s=o x@ s=o R}r=v;pOt "CU= xOW x�=Q= hQ] wO |=yOQ@y=Q |=Q@ |}=yO=yvW}B u; |x}=B Q@ w Ovm O}OyD'O=} R Ckw hQY |=H x@ 'xSwQB XwYN QO =D Ovm ltm u}iQ] x@ Ov=wD|t QwmPtxOW ^=Lr |D=}[Qi pOt QO u}vJty "OvUQ@ xv=}=Qo`k=w w |k]vt |}xH}Dv x@ QDOwR

"OR=U|t QwOkt =Q u=Qo}O |=Q@ u; |xaUwD u=mt= xm CU=

sOa CQwY QO "OW=@ Q=PoQ}F-=D =D OwW ?=NDv= CkO x@ O}=@ Q}N-=D |xt} QH "4'OW=@ QDW}@ xJ Qy xQm =Pt |xOwOLt QO |rw &OQ=Ov OwHw ji=wD u=mt= '?U=vD

"Ovm|t QDQw@Y =Q =tQiQ=mQ=mv=t}B `} QU |v} Ro}=H u=mt= 'xYk=vt |xQ=@ wO |Q=RoQ@ |xv} Ry uO=OxwrH sm "5|=Q@ =tQiQ=m =@ |Q=mty uOw@?=PH w u=t}B |xtD=N =} MUi CQwY QO O}OH

"OW=@ QF-wt CyH u}= QO Ov=wD|t u=Q=mv=t}B Q}=UQO 'OvQ=O |r@k |Q=mty |xk@=U xm s=vVwN w |tw@ u=Q=mv=t}B R= xO=iDU= "6p=tDL= Vy=m ut[ w Ovm|t =O}B |O=} R C}ty= C@=F s=tD= M} Q=D =@ |}=yxSwQB

"OW Oy=wN =tQiQ=m |vRxv=J CQOk C} wkD Ea=@ Q}N-=D RwQ@|qmw R= xO=iDU= 'O=OQ=Qk |twta w |YwYN \}=QW h=iW w K}LY u} wOD "7|kwkL p�=Ut w xOWv|v}@V}B \}=QW CyH uDW=O |oO=t; w xQ@N w Qy=t

"Ovm |Q}owrH |r=tDL= |=yu=} R R= Ov=wD|t'Qy=t w xO} RQw |xSwQB pQDvm |=ys}D R= xO=iDU= w Ot;Q=m |vi QDiO =} Qw=Wt OwHw "8'=yC}r=ai u=tR w sHL C=@U=Lt pL=Qt R= l} Qy QO xDUw}B w j}kO CQ=_vC=]=@DQ= '|Ov@u=tR |xt=vQ@ pQDvm 'xSwQB |Ov@u=tR |xt=vQ@ ?} wYD w u} wODu}= QD`} QU xJ Qy hWm Ea=@ |r=tDL= h=QLv= u}}aD w Q=mv=t}B =@ l}ORvQDtm uO}O u=} R w h=QLv= V}=Ri= R= |Q}oW}B u; |xH}Dv w OwW|t h=QLv=

"Ow@ Oy=wN u}iQ]C} wkD Ea=@ s}tYD QO C}a]=k uO=Ou=Wv w MUi O}OyD x@ uO}WN@ Q=@Da= "9

"CU=tQiQ=m `[wt

Q=mv=t}B |=yOQ@y=Q "2"6%CU= u}vJ Q=mv=t}B |=Q@ VN@ QF= |=yQDt=Q=B |xDioV}B ?r=]t w pOt x@ xHwD =@

&Q=mv=t}B p} RvD pt=a �&=tQiQ=m =@ \@=wQ `}}[D |xv} Ry �

&Q}N-=D |xt} QH �&CV �

&|UQO=O |=yxv} Ry �&MUi p}rO u}t-=D R= |Q}oW}B �

"t0 |Ov@u=tR |xt=vQ@ R= h=QLv= hWm u=tR �Q=mv=t}B |vRxv=J u=wD V}=Ri= Ea=@ QDtm p} RvD pt=a w OwN uO=OxwrH Qw@Y "1

"OwW|tu=Q@H x@ =tQiQ=m 'OyO xwrH QDW}@ =Q OwN uDUmW |=yxv} Ry Q=mv=t}B xJ Qy "2

"OQm Oy=wN Ca=vk |QDtm u=tRQ}=U QO pvUQB w `@=vt |Q}oQ=m x@ u=mt= 'Q=mv=t}B |q=@ |Ovtv=wD 'CQyW uUL "3C} wkD Ea=@ w OyO|t xwrH sm =Q =tQiQ=m =@ \@=wQ `}}[D |xv} Ry '=yxSwQB

"CU= Q=mv=t}B `[wtp} RvD pt=a 'OwW ?=NDv= xQm =Pt |xOwOLt QO |QDtm Q}N-=D |xt} QH xJ Qy "4

"OwW|t QDW}@ Q=mv=t}B

133

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@y=Q=yCWwv=B1. public- private partnership2. action3. payo� functions4. rationality5. extensive form6. perfect knowledge game7. non-cooperative8. Nash equilibrium9. backward induction10. the sub game- perfect Nash equilibrium (SPNE)11. non-credible12. discount factor

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