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The document discusses using influence maps for spatial reasoning in game agents. Influence maps represent different aspects of the game world using a matrix and can be combined to create desirability layers for tasks. Two applications are described: recognizing strategic dispositions by analyzing troop placements on a map, and enabling environmental awareness by tracking factors like resources and visibility.

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Maurice Bergsma and Peter Meij Student Lecture GAI, May 3, 2006 Influence Maps
Contents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Influence Maps ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Influence Maps (2) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Influence Maps (3) ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions 0,0 0,0 0,2 0,4 0,2 0,0 0,0 0,2 0,4 0,6 0,4 0,2 0,2 0,4 0,6 0,8 0,6 0,4 0,4 0,6 0,8 1,0 0,8 0,6 0,2 0,4 0,6 0,8 0,6 0,4 0,0 0,2 0,4 0,6 0,4 0,2
Influence Maps (3) ,[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions 0,00 0,25 0,50 0,75 1,00 0,75 0,00 0,25 0,50 0,75 1,00 0,75 0,00 0,25 0,50 0,75 1,00 0,75 0,25 0,50 0,75 0,75 1,00 0,75 0,50 0,75 1,00 1,00 1,00 0,75 0,50 0,75 1,00 0,75 0,75 0,50
Influence Maps (4) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions 0,0 0,0 0,2 0,4 0,2 0,0 0,0 0,2 0,4 0,6 0,4 0,2 0,2 0,4 0,6 0,8 0,6 0,4 0,4 0,6 0,8 1,0 0,8 0,6 0,2 0,4 0,6 0,8 0,6 0,4 0,0 0,2 0,4 0,6 0,4 0,2
Reasoning with Influence Maps ,[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Reasoning with Influence Maps (2) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Applications ,[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Recognizing Strategic Dispositions (image shamelessly copied from Nyree & Viktor) Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Environmental Awareness in Game Agents ,[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Issues with Influence Maps ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
References ,[object Object],[object Object],[object Object],[object Object],[object Object]
Questions?

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Influence map

  • 1. Maurice Bergsma and Peter Meij Student Lecture GAI, May 3, 2006 Influence Maps
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. Recognizing Strategic Dispositions (image shamelessly copied from Nyree & Viktor) Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions
  • 12. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
  • 13. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
  • 14. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
  • 15. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
  • 16. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
  • 17. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
  • 18. Recognizing Strategic Dispositions Introduction / Influence Maps / Reasoning / App 1 / App 2 / Issues / Conclusions -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -8 -6 -4 -4 -4 -2 -2 -2 -1 0 0 0 0 -8 -8 -8 -6 -6 -6 -5 -2 -1 -1 0 0 0 0 0 -8 -8 -8 -8 -8 -8 -8 -8 -4 -2 0 0 1 1 1 1 -2 -4 -8 -8 -10 -10 -8 -3 0 1 1 2 2 2 2 -2 -4 -8 -8 -10 -10 -8 -4 0 1 2 2 3 3 3 -2 -4 -8 -10 -10 -8 -4 -2 0 2 2 2 3 3 -2 -4 -6 -8 -8 -5 -5 -4 0 2 2 4 3 3 3 3 -1 -2 -4 -4 -3 -3 -5 -4 2 2 4 6 6 4 2 1 -2 -4 -4 -4 -2 -1 0 4 4 6 6 8 6 4 2 -2 -4 -4 -2 0 1 4 6 6 8 8 8 6 4 -2 -4 -4 -4 -2 0 1 3 6 8 8 8 6 4 -2 -4 -4 -2 0 1 2 4 8 8 8 8 6 4 -2 -4 -4 -4 -2 -1 0 2 4 6 8 8 8 8 6 4
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