slides-chap6A-communication-soft

Transmission strat egique de linformation information

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Transmission strat´ egique de l’information / Information non certifiable Communication vs. d´ el´ egation Reprenons le mod` ele de Crawford et Sobel (1982) : – Expert (joueur 1) : u 1 ( a ; t ) = bracketleftbig a ( t + b ) bracketrightbig 2 , b > 0 – D´ ecideur (joueur 2) : u 2 ( a ; t ) = bracketleftbig a t bracketrightbig 2 Alternative ` a la communication : le d´ ecideur d´ el` egue la d´ ecision a [0 , 1] ` a l’expert
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Transmission strat´ egique de l’information / Information non certifiable Communication vs. d´ el´ egation Reprenons le mod` ele de Crawford et Sobel (1982) : – Expert (joueur 1) : u 1 ( a ; t ) = bracketleftbig a ( t + b ) bracketrightbig 2 , b > 0 – D´ ecideur (joueur 2) : u 2 ( a ; t ) = bracketleftbig a t bracketrightbig 2 Alternative ` a la communication : le d´ ecideur d´ el` egue la d´ ecision a [0 , 1] ` a l’expert Par exemple, dans une firme, au lieu de recueillir les informations aux diff´ erents niveaux sp´ ecialis´ es de l’organisation, le sup´ erieur hi´ erarchique peut d´ el´ eguer certaines d´ ecisions (par exemple, d’investissement) ` a des niveaux inf´ erieurs de la hi´ erarchie afin d’´ eviter une communication impr´ ecise et inefficace, et ce mˆ eme si les agents n’ont pas exactement les mˆ emes pr´ ef´ erences/objectifs que leur sup´ erieur
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Transmission strat´ egique de l’information / Information non certifiable el´ egation de la d´ ecision ` a l’expert la d´ ecision a 1 ( t ) = t + b est choisie lorsque son type est t
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Transmission strat´ egique de l’information / Information non certifiable el´ egation de la d´ ecision ` a l’expert la d´ ecision a 1 ( t ) = t + b est choisie lorsque son type est t t EU D 1 = u 1 ( a 1 ( t ); t ) = 0 EU D 2 = u 2 ( a 1 ( t ); t ) = b 2
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Transmission strat´ egique de l’information / Information non certifiable el´ egation de la d´ ecision ` a l’expert la d´ ecision a 1 ( t ) = t + b est choisie lorsque son type est t t EU D 1 = u 1 ( a 1 ( t ); t ) = 0 EU D 2 = u 2 ( a 1 ( t ); t ) = b 2 Dans le jeu de communication : EU 1 = EU 2 b 2 EU 2 = 1 12 n 2 b 2 ( n 2 1) 3 o`u n est tel que b 1 2 n ( n 1)
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Transmission strat´ egique de l’information / Information non certifiable el´ egation de la d´ ecision ` a l’expert la d´ ecision a 1 ( t ) = t + b est choisie lorsque son type est t t EU D 1 = u 1 ( a 1 ( t ); t ) = 0 EU D 2 = u 2 ( a 1 ( t ); t ) = b 2 Dans le jeu de communication : EU 1 = EU 2 b 2 EU 2 = 1 12 n 2 b 2 ( n 2 1) 3 o`u n est tel que b 1 2 n ( n 1) L’expert pr´ ef` ere ´ evidement toujours la d´ el´ egation. Le joueur 2 pr´ ef` ere la d´ el´ egation si EU D 2 EU 2 b 2 1 12 n 2 + b 2 ( n 2 1) 3
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Transmission strat´ egique de l’information / Information non certifiable La d´ el´ egation est donc optimale ssi b 1 / 4 et n 2 ou b 1 / 12 1 / 3 . 5 et n = 1
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Transmission strat´ egique de l’information / Information non certifiable La d´ el´ egation est donc optimale ssi b 1 / 4 et n 2 ou b
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