decision under certainty decision under risk decision under

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決策問題類型 • 確定性問題 (decision under certainty) • 風險性問題 (decision under risk) • 不確定性問題 (decision

決策問題類型 • 確定性問題 (decision under certainty) • 風險性問題 (decision under risk) • 不確定性問題 (decision under uncertainty)

不確定性下決策法則 • 樂觀(大中取大)法則(optimistic criterion) • 悲觀(小中取大)法則(pessimistic criterion) • 賀威茲法則(Hurwiez criterion) • 拉氏法則(La. Place criterion)

不確定性下決策法則 • 樂觀(大中取大)法則(optimistic criterion) • 悲觀(小中取大)法則(pessimistic criterion) • 賀威茲法則(Hurwiez criterion) • 拉氏法則(La. Place criterion)

遊戲理論(game theory) • • 針對2個或以上決策者競爭的決策問題 償付表須已知 每個player有2項以上的方案 攻擊者(offensive player) 防守者(defensive player) 純粹策略(pure strategy) 混合策略(mixed

遊戲理論(game theory) • • 針對2個或以上決策者競爭的決策問題 償付表須已知 每個player有2項以上的方案 攻擊者(offensive player) 防守者(defensive player) 純粹策略(pure strategy) 混合策略(mixed strategy) 優勢策略(dominant strategies)

混合策略 Strategy B dominants Strategy A can be eliminated Strategy 2 dominants Strategy 1

混合策略 Strategy B dominants Strategy A can be eliminated Strategy 2 dominants Strategy 1 can be eliminated

決策樹 (Decision Tree) • 範例

決策樹 (Decision Tree) • 範例

決策樹 (Decision Tree)

決策樹 (Decision Tree)

抽樣資訊的期望價值 (Expected Value of Sampling Information, EVSI) • 條件機率(Conditional Probability) • 聯合機率(Joint Probability) •

抽樣資訊的期望價值 (Expected Value of Sampling Information, EVSI) • 條件機率(Conditional Probability) • 聯合機率(Joint Probability) • 事前機率(Prior Probability) • 事後機率(Posterior Probability) • 調查可靠度(Reliability)

ER=15. 58*0. 435+11. 8*0. 565=13. 46 EVSI=13. 46 -12. 85 = 0. 61 15.

ER=15. 58*0. 435+11. 8*0. 565=13. 46 EVSI=13. 46 -12. 85 = 0. 61 15. 58 0. 435 13. 46 0. 565 11. 8

15. 58 Test 13. 46 0. 435 0. 565 11. 8

15. 58 Test 13. 46 0. 435 0. 565 11. 8

Test No Test 12. 85

Test No Test 12. 85

Homework of Ch 8 • T-F: 1, 2, 3, 5, 6, 7, 10 •

Homework of Ch 8 • T-F: 1, 2, 3, 5, 6, 7, 10 • Multiple Choice: 12, 13, 14, 15, 17, 18, 19, 20 • Problem: 8 -1, 8 -18, 8 -21, 8 -22, 8 -28, 8 -29