slides-chap6A-communication-soft

Paiements esp er es a k y summationdisplay j j y j a

Info icon This preview shows pages 46–55. Sign up to view the full content.

View Full Document Right Arrow Icon
paiements esp´ er´ es A k ( y ) = summationdisplay j J y ( j ) A k ( j ) B k ( y ) = summationdisplay j J y ( j ) B k ( j ) ´ Equilibres de Γ( p ) equilibres non r´ ev´ elateurs) : Y ( p ) arg max y Δ( J ) p B 1 ( y ) + (1 p ) B 2 ( y ) = { y : p B 1 ( y ) + (1 p ) B 2 ( y ) p B 1 ( j ) + (1 p ) B 2 ( j ) , j J }
Image of page 46

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Transmission strat´ egique de l’information / Information non certifiable Strat´ egie mixte du r´ ecepteur y Δ( J ) paiements esp´ er´ es A k ( y ) = summationdisplay j J y ( j ) A k ( j ) B k ( y ) = summationdisplay j J y ( j ) B k ( j ) ´ Equilibres de Γ( p ) equilibres non r´ ev´ elateurs) : Y ( p ) arg max y Δ( J ) p B 1 ( y ) + (1 p ) B 2 ( y ) = { y : p B 1 ( y ) + (1 p ) B 2 ( y ) p B 1 ( j ) + (1 p ) B 2 ( j ) , j J } Remarque. Les actions mixtes sont utiles dans le jeu avec communication pour construire des ´ equilibres dans lesquels l’expert est indiff´ erent entre plusieurs messages. Elles servent ´ egalement de menaces hors du sentier d’´ equilibre dans les jeux de persuasion
Image of page 47
Transmission strat´ egique de l’information / Information non certifiable Paiements d’´ equilibre de Γ( p ) : E ( p ) ≡ { ( a, β ) : y Y ( p ) , a = A ( y ) , β = p B 1 ( y )+(1 p ) B 2 ( y ) }
Image of page 48

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Transmission strat´ egique de l’information / Information non certifiable Jeu de communication unilat´ erale Γ 0 S ( p ) Transmission d’information unilat´ erale de l’expert au d´ ecideur
Image of page 49
Transmission strat´ egique de l’information / Information non certifiable Jeu de communication unilat´ erale Γ 0 S ( p ) Transmission d’information unilat´ erale de l’expert au d´ ecideur Ensemble de messages (“clavier”) de l’expert : M = { a, b, . . . , } , 3 ≤ | M | <
Image of page 50

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Transmission strat´ egique de l’information / Information non certifiable Jeu de communication unilat´ erale Γ 0 S ( p ) Transmission d’information unilat´ erale de l’expert au d´ ecideur Ensemble de messages (“clavier”) de l’expert : M = { a, b, . . . , } , 3 ≤ | M | < Phase d’information L’expert apprend k K Phase de communication L’expert envoie un message m M Phase d’action Le d´ ecideur choisit j J
Image of page 51
Transmission strat´ egique de l’information / Information non certifiable Jeu de communication unilat´ erale Γ 0 S ( p ) Transmission d’information unilat´ erale de l’expert au d´ ecideur Ensemble de messages (“clavier”) de l’expert : M = { a, b, . . . , } , 3 ≤ | M | < Phase d’information L’expert apprend k K Phase de communication L’expert envoie un message m M Phase d’action Le d´ ecideur choisit j J Strat´ egie de l’expert : σ : K Δ( M ) Strat´ egie du d´ ecideur : τ : M Δ( J )
Image of page 52

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Transmission strat´ egique de l’information / Information non certifiable Exemple. Deux messages ( M = { a, b } ) k 2 k 1 N b a b a 2 2 · · · · · · j ( A 1 ( j ) , B 1 ( j ) ) · · · · · · j ( A 2 ( j ) , B 2 ( j ) ) · · · · · · j ( A 1 ( j ) , B 1 ( j ) ) · · · · · · j ( A 2 ( j ) , B 2 ( j ) )
Image of page 53
Transmission strat´ egique de l’information / Information non certifiable Exemple. Deux messages ( M = { a, b } ) k 2 k 1 N b a b a 2 2 · · · · · · j ( A 1 ( j ) , B 1 ( j ) ) · · · · · · j
Image of page 54

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 55
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern