{"id":24566,"date":"2023-12-06T12:22:35","date_gmt":"2023-12-06T12:22:35","guid":{"rendered":"https:\/\/masterskills.org\/blog\/gia-tri-shapley-shapley-value-la-gi-dac-diem-va-vi-du.html"},"modified":"2023-12-22T09:50:08","modified_gmt":"2023-12-22T02:50:08","slug":"gia-tri-shapley-shapley-value-la-gi-dac-diem-va-vi-du","status":"publish","type":"post","link":"https:\/\/masterskills.org\/blog\/gia-tri-shapley-shapley-value-la-gi-dac-diem-va-vi-du.html","title":{"rendered":"Gi\u00e1 tr\u1ecb Shapley (Shapley Value) l\u00e0 g\u00ec? \u0110\u1eb7c \u0111i\u1ec3m v\u00e0 v\u00ed d\u1ee5"},"content":{"rendered":"
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Hi\u0300nh minh ho\u0323a. Ngu\u00f4\u0300n: Semanticscholar.org<\/p>\n<\/figcaption><\/figure>\n

Gi\u00e1 tr\u1ecb Shapley<\/font><\/h2>\n

Kha\u0301i ni\u00ea\u0323m<\/b><\/p>\n

Gi\u00e1 tr\u1ecb Shapley<\/b> trong ti\u00ea\u0301ng Anh la\u0300 Shapley Value.<\/b><\/p>\n

Trong l\u00ed thuy\u1ebft tr\u00f2 ch\u01a1i, gi\u00e1 tr\u1ecb Shapley<\/b> l\u00e0 m\u1ed9t gi\u1ea3i ph\u00e1p ph\u00e2n ph\u1ed1i c\u1ea3 l\u1ee3i nhu\u1eadn v\u00e0 chi ph\u00ed m\u1ed9t c\u00e1ch c\u00f4ng b\u1eb1ng cho nhi\u1ec1u ng\u01b0\u1eddi ch\u01a1i.<\/p>\n

L\u00ed thuy\u1ebft tr\u00f2 ch\u01a1i<\/i>\u00a0c\u00f3 gi\u1ea3 \u0111\u1ecbnh l\u00e0 hai ho\u1eb7c nhi\u1ec1u ng\u01b0\u1eddi ch\u01a1i (ho\u1eb7c hai hay nhi\u1ec1u nh\u00e2n t\u1ed1) tham gia v\u00e0o m\u1ed9t chi\u1ebfn l\u01b0\u1ee3c \u0111\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c m\u1ed9t k\u1ebft qu\u1ea3 hay ph\u1ea7n th\u01b0\u1edfng mong mu\u1ed1n.\u00a0<\/i><\/p>\n

Gi\u00e1 tr\u1ecb Shapley th\u01b0\u1eddng ch\u1ee7 y\u1ebfu \u00e1p d\u1ee5ng trong c\u00e1c t\u00ecnh hu\u1ed1ng \u1edf \u0111\u00f3 \u0111\u00f3ng g\u00f3p c\u1ee7a m\u1ed7i ng\u01b0\u1eddi ch\u01a1i l\u00e0 kh\u00f4ng \u0111\u1ed3ng \u0111\u1ec1u v\u00e0 c\u00e1c ng\u01b0\u1eddi ch\u01a1i h\u1ee3p t\u00e1c v\u1edbi nhau \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c l\u1ee3i nhu\u1eadn hay ph\u1ea7n th\u01b0\u1edfng. \u00a0\u00a0<\/p>\n

Gi\u00e1 tr\u1ecb Shapley \u0111\u1ea3m b\u1ea3o m\u1ed7i ng\u01b0\u1eddi ch\u01a1i thu \u0111\u01b0\u1ee3c nhi\u1ec1u ph\u1ea7n th\u01b0\u1edfng nh\u1ea5t ho\u1eb7c nhi\u1ec1u h\u01a1n khi h\u1ecd ho\u1ea1t \u0111\u1ed9ng \u0111\u1ed9c l\u1eadp.\u00a0<\/p>\n

Gi\u00e1 tr\u1ecb thu \u0111\u01b0\u1ee3c l\u00e0 t\u1ed1i quan tr\u1ecdng trong l\u00ed thuy\u1ebft tr\u00f2 ch\u01a1i v\u00ec n\u1ebfu kh\u00f4ng c\u00f3 y\u1ebfu t\u1ed1 khuy\u1ebfn kh\u00edch n\u00e0o, c\u00e1c ng\u01b0\u1eddi ch\u01a1i s\u1ebd ho\u1ea1t \u0111\u1ed9ng ri\u00eang l\u1ebb thay v\u00ec c\u1ed9ng t\u00e1c v\u1edbi nhau.\u00a0<\/i><\/p>\n

Gi\u00e1 tr\u1ecb Shapely \u0111\u01b0\u1ee3c \u0111\u1eb7t theo t\u00ean c\u1ee7a ng\u01b0\u1eddi s\u00e1ng l\u1eadp ra – Lloyd Shapley, gi\u00e1 tr\u1ecb Shapley c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng trong kinh doanh, m\u00e1y h\u1ecdc (machine learning) v\u00e0 ti\u1ebfp th\u1ecb tr\u1ef1c tuy\u1ebfn. \u00a0 \u00a0\u00a0<\/p>\n

\u0110\u1eb7c \u0111i\u1ec3m Gi\u00e1 tr\u1ecb Shapley\u00a0<\/font><\/h3>\n

V\u1ec1 c\u01a1 b\u1ea3n, gi\u00e1 tr\u1ecb Shapley<\/b> l\u00e0 gi\u00e1 tr\u1ecb trung b\u00ecnh \u0111\u00f3ng g\u00f3p bi\u00ean d\u1ef1 ki\u1ebfn c\u1ee7a m\u1ed9t ng\u01b0\u1eddi ch\u01a1i sau khi \u0111\u00e3 xem x\u00e9t t\u1ea5t c\u1ea3 c\u00e1c c\u00e1ch k\u1ebft h\u1ee3p. D\u00f9 gi\u00e1 tr\u1ecb Shapley kh\u00f4ng ho\u00e0n h\u1ea3o, n\u00f3 \u0111\u00e3 \u0111\u01b0\u1ee3c ch\u1ee9ng minh l\u00e0 m\u1ed9t c\u00e1ch ti\u1ebfp c\u1eadn kh\u00e1 c\u00f4ng b\u1eb1ng khi ph\u00e2n b\u1ed5 gi\u00e1 tr\u1ecb. \u00a0\u00a0<\/i><\/p>\n

Gi\u00e1 tr\u1ecb Shapley gi\u00fap x\u00e1c \u0111\u1ecbnh m\u1ee9c ph\u1ea7n th\u01b0\u1edfng cho t\u1ea5t c\u1ea3 ng\u01b0\u1eddi ch\u01a1i khi \u0111\u00f3ng g\u00f3p c\u1ee7a c\u00e1c ng\u01b0\u1eddi ch\u01a1i kh\u00f4ng gi\u1ed1ng nhau.\u00a0<\/p>\n

Gi\u00e1 tr\u1ecb Shapley c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng kh\u00e1c nhau, c\u00f3 th\u1ec3 thay ng\u01b0\u1eddi ch\u01a1i th\u00e0nh nh\u1eefng y\u1ebfu t\u1ed1 c\u1ea7n thi\u1ebft \u0111\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c m\u1ed9t k\u1ebft qu\u1ea3 ho\u1eb7c ph\u1ea7n th\u01b0\u1edfng mong mu\u1ed1n.\u00a0<\/i><\/p>\n

Tr\u00ean l\u00ed thuy\u1ebft, “ng\u01b0\u1eddi ch\u01a1i” c\u00f3 th\u1ec3 l\u00e0 m\u1ed9t s\u1ea3n ph\u1ea9m \u0111\u01b0\u1ee3c b\u00e1n trong c\u1eeda h\u00e0ng, m\u1ed9t m\u1eb7t h\u00e0ng trong th\u1ef1c \u0111\u01a1n nh\u00e0 h\u00e0ng, m\u1ed9t b\u00ean b\u1ecb th\u01b0\u01a1ng trong m\u1ed9t v\u1ee5 tai n\u1ea1n \u00f4 t\u00f4 ho\u1eb7c m\u1ed9t nh\u00f3m nh\u1eefng ng\u01b0\u1eddi ch\u01a1i s\u1ed5 s\u1ed1.<\/p>\n

Gi\u00e1 tr\u1ecb Shapley c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong c\u00e1c m\u00f4 h\u00ecnh kinh t\u1ebf, trong vi\u1ec7c ph\u00e2n ph\u1ed1i c\u00e1c d\u00f2ng s\u1ea3n ph\u1ea9m, c\u00e1c m\u00f4 h\u00ecnh th\u1ecb tr\u01b0\u1eddng h\u1ed7n h\u1ee3p v\u00e0 trong t\u00ednh to\u00e1n thi\u1ec7t h\u1ea1i.<\/p>\n

M\u1eb7c d\u00f9 ph\u01b0\u01a1ng ph\u00e1p gi\u00e1 tr\u1ecb Shapely c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh c\u00e1c gi\u00e1 tr\u1ecb cho c\u00e1c y\u1ebfu t\u1ed1 kh\u00e1c nhau m\u1ed9t c\u00e1ch c\u00f4ng b\u1eb1ng, c\u00e1c ph\u00e9p \u01b0\u1edbc l\u01b0\u1ee3ng \u0111\u1ebb x\u00e1c \u0111\u1ecbnh c\u00e1c gi\u00e1 tr\u1ecb c\u00f3 th\u1ec3 c\u00f3 sai s\u00f3t.\u00a0\u00a0<\/i><\/p>\n

V\u00ed d\u1ee5 v\u1ec1 c\u00e1ch \u1ee9ng d\u1ee5ng Gi\u00e1 tr\u1ecb Shapley\u00a0<\/font><\/h3>\n

M\u1ed9t v\u00ed d\u1ee5 v\u1ec1 gi\u00e1 tr\u1ecb Shapley<\/b> trong th\u1ef1c t\u1ebf l\u00e0 x\u00e2y d\u1ef1ng s\u00e2n bay. M\u1ed9t s\u00e2n bay c\u1ea7n \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng sao cho ph\u00f9 h\u1ee3p v\u1edbi nhi\u1ec1u lo\u1ea1i m\u00e1y bay \u0111\u00f2i h\u1ecfi chi\u1ec1u d\u00e0i \u0111\u01b0\u1eddng b\u0103ng kh\u00e1c nhau.\u00a0 <\/p>\n

V\u1ea5n \u0111\u1ec1 \u1edf \u0111\u00e2y l\u00e0 l\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 ph\u00e2n ph\u1ed1i chi ph\u00ed s\u00e2n bay cho t\u1ea5t c\u1ea3 c\u00e1c ng\u01b0\u1eddi ch\u01a1i hay c\u00e1c lo\u1ea1i m\u00e1y bay m\u1ed9t c\u00e1ch c\u00f4ng b\u1eb1ng.\u00a0<\/p>\n

Gi\u1ea3i ph\u00e1p \u0111\u01a1n gi\u1ea3n nh\u1ea5t l\u00e0 ph\u00e2n b\u1ed5 chi ph\u00ed bi\u00ean c\u1ee7a m\u1ed7i chi\u1ec1u d\u00e0i \u0111\u01b0\u1eddng b\u0103ng c\u1ea7n thi\u1ebft sao cho \u0111\u00e1p \u1ee9ng chi\u1ec1u d\u00e0i \u0111\u01b0\u1eddng bang t\u1ed1i thi\u1ec3u c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c lo\u1ea1i m\u00e1y.<\/p>\n

V\u00ec v\u1eady, c\u00e1c lo\u1ea1i m\u00e1y bay y\u00eau c\u1ea7u \u0111\u01b0\u1eddng b\u0103ng ng\u1eafn h\u01a1n s\u1ebd ph\u1ea3i tr\u1ea3 \u00edt h\u01a1n, v\u00e0 nh\u1eefng lo\u1ea1i m\u00e1y bay y\u00eau c\u1ea7u \u0111\u01b0\u1eddng b\u0103ng d\u00e0i h\u01a1n s\u1ebd tr\u1ea3 nhi\u1ec1u ti\u1ec1n h\u01a1n.\u00a0<\/p>\n

Tuy nhi\u00ean, vi\u1ec7c n\u00e0y c\u00f3 th\u1ec3 d\u1eabn \u0111\u1ebfn m\u1ed9t s\u1ed1 ng\u01b0\u1eddi ch\u01a1i kh\u00f4ng ch\u1ecbu tr\u1ea3 th\u00eam ti\u1ec1n hay h\u1ecd c\u00f3 th\u1ec3 kh\u00f4ng h\u1ee3p t\u00e1c. \u00a0 \u00a0<\/i><\/p>\n

Gi\u00e1 tr\u1ecb Shapley trong ti\u1ebfp th\u1ecb<\/font><\/h3>\n

Gi\u00e1 tr\u1ecb Shapley <\/b>c\u00f9ng \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng r\u1ea5t nhi\u1ec1u trong ph\u00e2n t\u00edch ti\u1ebfp th\u1ecb. M\u1ed9t c\u00f4ng ty b\u00e1n s\u1ea3n ph\u1ea9m tr\u00ean trang web c\u1ee7a h\u1ecd s\u1ebd c\u00f3 c\u00e1c \u0111i\u1ec3m ti\u1ebfp c\u1eadn (touchpoint<\/i>) kh\u00e1c nhau, hay l\u00e0 c\u00e1c c\u00e1ch th\u1ee9c \u0111\u1ec3 th\u00fac \u0111\u1ea9y ti\u1ebfp c\u1eadn kh\u00e1ch h\u00e0ng v\u00e0 mua s\u1ea3n ph\u1ea9m c\u1ee7a c\u00f4ng ty.\u00a0<\/p>\n

V\u00ed d\u1ee5 m\u1ed9t c\u00f4ng ty c\u00f3 c\u00e1c\u00a0 k\u00eanh ti\u1ebfp th\u1ecb \u0111\u1ec3 thu h\u00fat kh\u00e1ch h\u00e0ng ti\u1ec1m n\u0103ng l\u00e0 qua c\u00e1c ph\u01b0\u01a1ng ti\u1ec7n truy\u1ec1n th\u00f4ng x\u00e3 h\u1ed9i, qu\u1ea3ng c\u00e1o c\u00f3 tr\u1ea3 ph\u00ed v\u00e0 c\u00e1c chi\u1ebfn d\u1ecbch ti\u1ebfp th\u1ecb qua email.\u00a0<\/p>\n

Khi \u00e1p d\u1ee5ng gi\u00e1 tr\u1ecb Shapley trong k\u1ecbch b\u1ea3n tr\u00ean, m\u1ed7i k\u00eanh ti\u1ebfp th\u1ecb l\u00e0 m\u1ed9t “ng\u01b0\u1eddi ch\u01a1i” v\u00e0 “ph\u1ea7n th\u01b0\u1edfng” s\u1ebd l\u00e0 vi\u1ec7c kh\u00e1ch h\u00e0ng mua s\u1ea3n ph\u1ea9m.\u00a0<\/p>\n

B\u1eb1ng c\u00e1ch ch\u1ec9 \u0111\u1ecbnh gi\u00e1 tr\u1ecb cho t\u1eebng k\u00eanh ti\u1ebfp th\u1ecb, ph\u01b0\u01a1ng ph\u00e1p gi\u00e1 tr\u1ecb Shapely c\u00f3 th\u1ec3 gi\u00fap c\u00f4ng ty x\u00e1c \u0111\u1ecbnh k\u00eanh ti\u1ebfp th\u1ecb n\u00e0o c\u00f3 giao d\u1ecbch mua h\u00e0ng tr\u1ef1c tuy\u1ebfn cao nh\u1ea5t. \u00a0\u00a0<\/p>\n

(Theo Investopedia<\/i>)<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"

\n Gi\u00e1 tr\u1ecb Shapley (ti\u1ebfng Anh: Shapley Value) l\u00e0 m\u1ed9t gi\u1ea3i ph\u00e1p ph\u00e2n ph\u1ed1i c\u1ea3 l\u1ee3i nhu\u1eadn v\u00e0 chi ph\u00ed m\u1ed9t c\u00e1ch c\u00f4ng b\u1eb1ng cho nhi\u1ec1u ng\u01b0\u1eddi ch\u01a1i trong l\u00ed thuy\u1ebft tr\u00f2 ch\u01a1i.\n <\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[414],"tags":[],"_links":{"self":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/24566"}],"collection":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/comments?post=24566"}],"version-history":[{"count":0,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/24566\/revisions"}],"wp:attachment":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/media?parent=24566"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/categories?post=24566"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/tags?post=24566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}