J.M. p.81 CSR Corporate Social Responsibility

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1 Title Author(s) Citation Kobe University Repository : Kernel なぜ地域金融機関は地域貢献活動を行うのか(What is Regional Bank? What are the Goals of Regional Bank?) 滝川, 好夫 Issue date 2004 Resource Type Resource Version URL 神戸大學經濟學研究年報 = The annuals of economic studies,51:1-16 Departmental Bulletin Paper / 紀要論文 publisher Create Date:

) 滝川, 好夫 Issue date 2004 Resource Type Resource Version URL 神戸大學經濟學研究年報 = The annuals of

2 J.M. p.81 CSR Corporate Social Responsibility

3 bank in region or community bank with 2

4 3 region or community bank for region or community bank of region or community4 territory regioncommunity bank in regionbank with regionbank for regionbank of regionbank in communitybank with communitybank for communitybank of community community 1973community p community region super-region

regionbank of regionbank in communitybank with communitybank for communitybank of

5 4 51 3

6 nation international national region regional 5 / /

7 p R M 2A B R MA B L A L B 2A,B p.182

8 7 π M Uπ R L A R /(L A R L B R ) k{d 0 f(l A ) g(l B )} CL (L A L B ) D 0 f(l A ) g(l B ) k D 0 f(l A ),g(l B ) CL L A,L B 0 f(l A ),g(l B ) 0 f'(l A ),g'(l B ) 1 k{d 0 f(l A ) g(l B )} CL (i A L,i B L ) (i CL ) (i D ) (1) M M Max π M i CL CL M i L A L M A i L B L M B i D {D M0 f(l M A ) g(l M B )} C M A (L M A ) C M B (L M B ) 1 s.t. k{d M0 f(l M A ) g(l M B )} CL M (L M A L M B ) D M0 f(l M A ) g(l M B ) 2 i D M π M / L MA i CL (1 k)f'(l MA ) i CL i LA C MA '(L MA ) 0 π M / L MB i CL (1 k)g'(l MB ) i CL i LB C MB '(L MB ) MA B C A M ' i A L f'(l A M ) M

M A ) g(l M B )} C M A (L M A ) C M B (L M B ) 1 s.t.

9 8 51 A (2) R R Max U U(π R,L R A /(L R A L R B )) 5 s.t. k{d R0 f(l R A ) g(l R B )} CL R (L R A L R B ) D R0 f(l R A ) g(l R B ) 6 π R i CL CL R i L A L R A i L B L R B i D {D R0 f(l R A ) g(l R B )} C R A (L R A ) C R B (L R B ) 7 i D R U/ L R A ( U/ π R )( π R / L R A ) ( U/ X)( X/ L R A ) ( U/ π R ){i CL (1 k)f'(l R A ) i CL i L A C R A '(L R A )} ( U/ X){L R B /(L R A L R B ) 2 } 0 8 U/ L R B ( U/ π R )( π R / L R B ) ( U/ X)( X/ L R B ) ( U/ π R ){i CL (1 k)g'(l R B ) i CL i L B C R B '(L R B )} ( U/ X){ L R A /(L R A L R B ) 2 } 0 9 X L A R /(L A R L B R ) (8),(9)2L A R **,L B R ** ( U/ X)( X/ L A R ) 0( U/ π R )( π R / L A R ) 0 {i CL (1 k)f'(l A R **) i CL i A L C A R '(L A R **)} 0 R{i CL (1 k)f'(l A R ) i CL i A L C A R '(L A R )} 0 L RA *L RA **A ( U/ X)( X/ L RA ) 0( U/ π R )( π R / L RB ) 0 {i CL (1 k)g'(l RB **) i CL i LB C RB '(L RB **)} 0 R{i CL (1 k)g'(l B R ) i CL i B L C B R '(L B R )} 0 L B R *L B R ** B π R L A R /(L A R L B R )π R 1

)( π R / L R A ) ( U/ X)( X/ L R A ) ( U/ π R ){i CL (1 k)f'(l R A ) i CL i L A C R A '(L R A )} ( U/ X){L R B /(L R A L R B ) 2 } 0 8 U/ L R B ( U/ π R )( π R / L R B ) ( U/ X)( X/ L R B ) ( U/ π R

10 9 {i CL (1 k)f'(l R A *) i CL i L A C R A '(L R A *)} 0 {i CL (1 k)g'(l R B *) i CL i L B C R B '(L R B *)} 0 L A R **L A* R L B R **L B* R RB A C A M ' i A L f'(l A R ) RB i A L C A M ' 2R M π M Uπ R N R

11 10 51 kd 0 CL L D 0 k D 0 CLL 0kD 0 CL i L i CL i D R C RN (1) M M Max π M i CL CL M i L L M i D D M0 C M (L M ) s.t. kd M0 CL M L M D M dπ M /dl M i L i CL C M '(L M ) 0 12 C M '(L M *) i L i CL 13 (2) R R Max U U(π R,N R ) s.t. kd R0 CL R L R D R0 π R i CL CL R i L L R i D D R0 C RL (L R ) C RN (N R )

kd M0 CL M L M D M0 10 11 dπ M /dl M i L i CL C M '(L M ) 0 12 C M '(L M *) i L

12 11 C RL (L R ) C RN (N R ) U/ L R ( U/ π R )( π R / L R ) ( U/ N R )( N R / L R ) ( U/ π R ){i L i CL C RL '(L R )} 0 17 U/ N R ( U/ π R )( π R / N R ) ( U/ N R )( N R / N R ) ( U/ π R ){ C RN '(N R )} ( U/ N R ) 0 18 (17),(18)2 C RL '(L R **) i L i CL C RN '(N R **) ( U/ N R )/( U/ π R ) L R **i L i CL N R ** 1978 p.139

13 R kd R CL R L R D R k D R CL R L R kd R D D 0 (1 x) x α 1/2 (1 α)1/2 α CL R 0(1 α) CL R 0 (i L )(i CL )(i D 0) π R1 i CL CL R i L L R C RL (L R ) C RN (N R ) CL R 0 π R2 { a (i CL b)cl R } i L L R C RL (L R ) C RN (N R ) CL R 0 C RL C RN N R C RL ' 0 C RL " 0 C RN ' 0 C RN " 0 x 1/2α CL R 0 α α(n R ) α'(n R ) 0 CL R 0 7

14 13 1 (i L i CL ) Max Π R α(n R )π R1 {1 α(n R )}π R2 s.t. π R1 i CL CL R i L L R C RL (L R ) C RN (N R ) CL R 0 π R2 { a (i CL b)cl R } i L L R C RL (L R ) C RN (N R ) CL R 0 kd 0 (1 x) CL R L R D 0 (1 x) Π R / L R {i L (i CL b)} α(n R )b C RL '(L R ) 0 25 Π R / N R α'(n R )i CL D 0 (1 1/2)(1 k) α'(n R )(i CL b)d 0 (1 1/2)(1 k) α'(n R )a α'(n R )bl R C RN '(N R ) L R,N R α α(n R ) βn R C RL C RL (L R ) L R 2 C RN C RN (N R ) N R 2 L R,N R L R *,N R * L R * 2[{i L (i CL b)}/(4 b 2 β 2 )] [bβ 2 D 0 (1 k){i CL (1/2)b}/(4 b 2 β 2 )] {(abβ 2 )/(4 b 2 β 2 )} N R * 4[{i L (i CL b)}/{(4 b 2 β 2 )(bβ)}] [{i L (i CL b)}/(bβ)] 27 2[βD 0 (1 k){i CL (1/2)b}/(4 b 2 β 2 )] {(2aβ)/(4 b 2 β 2 )} 28 L R */ β 0 N R */ β β dα/dn R L R * N R *

R )b C RL '(L R ) 0 25 Π R / N R α'(n R )i CL D 0 (1 1/2)(1 k) α'(n R )(i CL b)d 0 (1 1/2)(1 k) α'(n R )a α'(n R )bl R C RN '(N R ) 0 26 2L R,N R α α(n R ) βn R C RL C RL (L R ) L R 2 C RN

15 β dα/dn R L R * N R * Keynes, J.M.(1972), Essays in Persuasion: The Collected Writings of John Maynard Keynes Vol., The Macmillan Press pp a Discussion Paper No.0417, September b

16 pp

17 16 51 WHAT IS REGIONAL BANK? WHAT ARE THE GOALS OF REGIONAL BANK? YOSHIO TAKIGAWA We define Regional Bank based on three measures inner-regional lending rate, innerregional branch rate, inner-regional reflux rate. We recognize that profit is the best sanction mechanism for private corporate companies to perform Corporate Economic Responsibility. In this paper, we insist that Corporate Social Responsibility is one of the sanction mechanisms for supplementing free market mechanism. We make our original model to analyze What is Corporate Social Responsibility of Regional Bank? In section 6-1, we assume that Mega bank maximizes profit, and Regional bank maximizes utility which depend on not only profit but also inner-regional lending rate. We assume that Mega bank bears lending cost, and Regional bank bears not only lending cost but also Corporate Social Responsibility Cost. In section 6-2, we assume that probability of loan-position depends on Corporate Social Responsibility Activity.

We recognize that profit is the best sanction mechanism for private corporate companies to perform Corporate Economic Responsibility.

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