1 / 28

50p+10(1-p)

50p+10(1-p). 20p+80(1-p). CC better for Navratilova. DL better for Navratilova. Evert’s BR p(q). Navratilova’s BR q(p). If p=0.7, Navratilova is indiff between q=0 or q=1 or anything in the middle. Evert’s BR p(q). Navratilova’s BR q(p).

akasma
Download Presentation

50p+10(1-p)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Game Theory ECO4400

  2. Game Theory ECO4400

  3. 50p+10(1-p) 20p+80(1-p) Game Theory ECO4400

  4. CC better for Navratilova DL better for Navratilova Game Theory ECO4400

  5. Game Theory ECO4400

  6. Evert’s BR p(q) Navratilova’s BR q(p) If p=0.7, Navratilova is indiff between q=0 or q=1 or anything in the middle Game Theory ECO4400

  7. Evert’s BR p(q) Navratilova’s BR q(p) Reflected across the 45degrees line (switch p and q) Game Theory ECO4400

  8. Different values Game Theory ECO4400

  9. Game Theory ECO4400

  10. Min=62 if p=0.7 Game Theory ECO4400

  11. 80p+20(1-p) 50p+90(1-p) Game Theory ECO4400

  12. Navratilova picks CC if p<0.7 to minimize Evert’s payoff (zero-sum game) Navratilova picks DL if p>0.7 Game Theory ECO4400

  13. New Game Theory ECO4400

  14. Game Theory ECO4400

  15. 50q+80(1-q) 70q+60(1-q) 90q+20(1-q) Game Theory ECO4400

  16. 65 Game Theory ECO4400

  17. Not a unique q for Navratilova if Lob (horizontal line) gives payoffs of 70 and 70 to Evert 1/3 5/7 Game Theory ECO4400

  18. 4.c) Domination by a mixed strategy Was 70 Was 60 Game Theory ECO4400

  19. 4.c) Domination by a mixed strategy Game Theory ECO4400

  20. 4.c) Domination by a mixed strategy Orange line: Mix of DL and CC For p=1 Game Theory ECO4400

  21. 4.c) Domination by a mixed strategy Orange line: Mix of DL and CC For p<1 Game Theory ECO4400

  22. 4.c) Domination by a mixed strategy Orange line: Mix of DL and CC For p smaller Game Theory ECO4400

  23. 4.c) Domination by a mixed strategy Orange line: Mix of DL and CC For p smaller! Game Theory ECO4400

  24. 4.c) Domination by a mixed strategy Orange line: Mix of DL and CC For p=0.25: Mix line Game Theory ECO4400

  25. 4.c) Domination by a mixed strategy Orange line: Mix of DL and CC For p going to 0 (almost CC line) Game Theory ECO4400

  26. qL qR qC=1-qL-qR pL pC=1-pL-pR pR Game Theory ECO4400

  27. For Goalie: 55qL+10qC+10qR For Kicker: 45pL+85pC+95pR Game Theory ECO4400

  28. 5.b) Some strategies unused Was 85 Was 85 Game Theory ECO4400

More Related