slides-chap6A-communication-soft

Transmission strat egique de linformation information

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Transmission strat´ egique de l’information / Information non certifiable x < 1 / 2 car l’´ emetteur a tendance ` a vouloir exag´ erer la valeur de t L’intervalle [ x, 1] a une longueur 4 b de plus que [0 , x ] 0 x = 1 / 2 2 b 1 / 2 1 Ceci se g´ en´ eralise aux ´ equilibres n -s´ eparateurs :
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Transmission strat´ egique de l’information / Information non certifiable x < 1 / 2 car l’´ emetteur a tendance ` a vouloir exag´ erer la valeur de t L’intervalle [ x, 1] a une longueur 4 b de plus que [0 , x ] 0 x = 1 / 2 2 b 1 / 2 1 Ceci se g´ en´ eralise aux ´ equilibres n -s´ eparateurs : Pour tout k , l’´ emetteur de type t = x k doit ˆ etre indiff´ erent entre envoyer m k et m k +1
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Transmission strat´ egique de l’information / Information non certifiable x < 1 / 2 car l’´ emetteur a tendance ` a vouloir exag´ erer la valeur de t L’intervalle [ x, 1] a une longueur 4 b de plus que [0 , x ] 0 x = 1 / 2 2 b 1 / 2 1 Ceci se g´ en´ eralise aux ´ equilibres n -s´ eparateurs : Pour tout k , l’´ emetteur de type t = x k doit ˆ etre indiff´ erent entre envoyer m k et m k +1 son point id´ eal, x k + b , doit ˆ etre ` a ´ egale distance de x k - 1 + x k 2 et x k + x k +1 2
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Transmission strat´ egique de l’information / Information non certifiable x < 1 / 2 car l’´ emetteur a tendance ` a vouloir exag´ erer la valeur de t L’intervalle [ x, 1] a une longueur 4 b de plus que [0 , x ] 0 x = 1 / 2 2 b 1 / 2 1 Ceci se g´ en´ eralise aux ´ equilibres n -s´ eparateurs : Pour tout k , l’´ emetteur de type t = x k doit ˆ etre indiff´ erent entre envoyer m k et m k +1 son point id´ eal, x k + b , doit ˆ etre ` a ´ egale distance de x k - 1 + x k 2 et x k + x k +1 2 x k + b = x k - 1 + x k 2 + x k + x k +1 2 2 = x k 1 + 2 x k + x k +1 4
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Transmission strat´ egique de l’information / Information non certifiable x < 1 / 2 car l’´ emetteur a tendance ` a vouloir exag´ erer la valeur de t L’intervalle [ x, 1] a une longueur 4 b de plus que [0 , x ] 0 x = 1 / 2 2 b 1 / 2 1 Ceci se g´ en´ eralise aux ´ equilibres n -s´ eparateurs : Pour tout k , l’´ emetteur de type t = x k doit ˆ etre indiff´ erent entre envoyer m k et m k +1 son point id´ eal, x k + b , doit ˆ etre ` a ´ egale distance de x k - 1 + x k 2 et x k + x k +1 2 x k + b = x k - 1 + x k 2 + x k + x k +1 2 2 = x k 1 + 2 x k + x k +1 4 d’o`u [ x k +1 x k ] = [ x k x k 1 ] + 4 b
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Transmission strat´ egique de l’information / Information non certifiable
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Transmission strat´ egique de l’information / Information non certifiable x k = x 1 + ( x 1 + 4 b ) + ( x 1 + 2 (4 b )) + · · · + ( x 1 + ( k 1) (4 b )) = k x 1 + (1 + 2 + · · · + ( k 1)) 4 b = k x 1 + k ( k 1) 2 4 b
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Transmission strat´ egique de l’information / Information non certifiable x k = x 1 + ( x 1 + 4 b ) + ( x 1 + 2 (4 b )) + · · · + ( x 1 + ( k 1) (4 b )) = k x 1 + (1 + 2 + · · · + ( k 1)) 4 b = k x 1 + k ( k 1) 2 4 b En particulier, 1 = x n = n x 1 + n ( n 1) 2 b
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Transmission strat´ egique de l’information / Information non certifiable x k = x 1 + ( x 1 + 4 b ) + ( x 1 + 2 (4 b )) + · · · + ( x 1 + ( k 1) (4 b )) = k x 1 + (1 + 2 + · · · + ( k 1)) 4 b = k x 1 + k ( k 1) 2 4 b En particulier, 1 = x n = n x 1 + n ( n 1) 2 b x 1 = 1 /n 2( n 1) b x k = k/n 2 kb ( n k )
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  • Spring '10
  • breviart
  • Game Theory, Transmission strat´gique

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