Beyond Admissibility : Dominance between chains of strategies - PowerPoint PPT Presentation

Beyond Admissibility : Beyond Admissibility : Dominance between chains of strategies Dominance between chains of strategies Marie van den Bogaard 1 Marie van den Bogaard Joint work with N. Basset 2 , I. Jecker 1 , A.Pauly 3 & J.-F. Raskin 1 Joint work with N. Basset, I. Jecker, A.Pauly & J.-F. Raskin Presented at CSL 2018 Université Libre de Bruxelles CSL 2018, Birmingham September 7th, 2018 1 Université Libre de Bruxelles, 2 Université Grenoble Alpes, 3 Swansea University MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 1 / 23 1 / 23

Beyond Admissibility : Beyond Admissibility : Dominance between chains of strategies Dominance between chains of strategies Marie van den Bogaard 1 Marie van den Bogaard Joint work with N. Basset 2 , I. Jecker 1 , A.Pauly 3 & J.-F. Raskin 1 Joint work with N. Basset, I. Jecker, A.Pauly & J.-F. Raskin Presented at CSL 2018 Université Libre de Bruxelles CSL 2018, Birmingham September 7th, 2018 1 Université Libre de Bruxelles, 2 Université Grenoble Alpes, 3 Swansea University MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 1 / 23 1 / 23

Beyond Admissibility : What does it mean to Beyond Admissibility : Dominance between chains of strategies Dominance between chains of strategies act rationally in an Marie van den Bogaard 1 Marie van den Bogaard Joint work with N. Basset 2 , I. Jecker 1 , A.Pauly 3 & J.-F. Raskin 1 interactive scenario? Joint work with N. Basset, I. Jecker, A.Pauly & J.-F. Raskin Presented at CSL 2018 Université Libre de Bruxelles CSL 2018, Birmingham (especially when there is no obvious optimal choice?) September 7th, 2018 1 Université Libre de Bruxelles, 2 Université Grenoble Alpes, 3 Swansea University MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 1 / 23 1 / 23

Beyond Admissibility : What does it mean to Beyond Admissibility : Dominance between chains of strategies Dominance between chains of strategies act rationally in an Marie van den Bogaard 1 Marie van den Bogaard Joint work with N. Basset 2 , I. Jecker 1 , A.Pauly 3 & J.-F. Raskin 1 interactive scenario? Joint work with N. Basset, I. Jecker, A.Pauly & J.-F. Raskin Presented at CSL 2018 Université Libre de Bruxelles CSL 2018, Birmingham (especially when there is no obvious optimal choice?) September 7th, 2018 1 Université Libre de Bruxelles, 2 Université Grenoble Alpes, 3 Swansea University MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 1 / 23 1 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . With the point of view of the first (circle) player H O C D MvdB (ULB) Beyond Admissibility GT ALGA, October 16th 2018 2 / 23

Let’s play. . . With the point of view of the first (circle) player H O C D MvdB (ULB) Beyond Admissibility GT ALGA, October 16th 2018 2 / 23

Let’s play. . . With the point of view of the first (circle) player H O C D MvdB (ULB) Beyond Admissibility GT ALGA, October 16th 2018 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . With the point of view of the first (circle) player H O C D Is there a strategy that lets me enter regardless of the doorman actions? MvdB (ULB) Beyond Admissibility GT ALGA, October 16th 2018 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D Is there a strategy that lets me enter NO. regardless of the doorman actions? MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D And now? What is the rational choice? MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D S 0 : do not even try MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D S 1 : try once, then go home if not successful MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D S 1 does better than S 0 S 1 dominates S 0 S 1 : try once, then go home if not successful s 0 s 1 MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23

Let’s play. . . Let’s play. . . With the point of view of the first (circle) player With the point of view of the first (circle) player H O C D S k : try k times, then go home if not successful MvdB (ULB) MvdB (ULB) Beyond Admissibility Beyond Admissibility GT ALGA, October 16th 2018 CSL 2018 2 / 23 2 / 23