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Foundations of Decision Analysis, Global Edition

Foundations of Decision Analysis, Global Edition

Ali E. Abbas | Ronald A. Howard

(2015)

Additional Information

Book Details

Abstract

For courses in Decision Making and Engineering.

 

The Fundamentals of Analyzing and Making Decisions

Foundations of Decision Analysis is a groundbreaking text that explores the art of decision making, both in life and in professional settings. By exploring themes such as dealing with uncertainty and understanding the distinction between a decision and its outcome, the First Edition teaches students to achieve clarity of action in any situation.

 

The book treats decision making as an evolutionary process from a scientific standpoint. Strategic decision-making analysis is presented as a tool to help students understand, discuss, and settle on important life choices. Through this text, students will understand the specific thought process that occurs behind approaching any decision to make easier and better life choices for themselves.

Table of Contents

Section Title Page Action Price
Cover\r Cover
Title\r TitlePage
Copyright\r Copyright
Brief Contents 3
Contents\r 5
Chapter 1: Introduction to Quality Decision Making 23
1.1 Introduction 23
1.2 Normative Vs. Descriptive 23
1.3 Declaring a Decision 26
1.4 Thought Vs. Action 29
1.5 What is a Decision? 30
1.6 Decision Vs. Outcome 32
1.7 Clarity of Action 35
1.8 What is a Good Decision? 36
1.9 Summary 40
Key Terms 41
Problems 42
Chapter 2: Experiencing a Decision 44
2.1 Introduction 44
2.2 Analysis of a Decision: The Thumbtack and the Medallion Example 44
2.3 Lessons Learned from the Thumbtack and Medallion Example 53
2.4 Summary 57
Key Terms 57
Appendix A: Results of the Thumbtack Demonstration 58
Problems 59
Chapter 3: Clarifying Values 63
3.1 Introduction 63
3.2 Value in Use and Value in Exchange 63
3.3 Values Around a Cycle of Ownership 67
3.4 Summary 72
Key Terms 73
Problems 74
Chapter 4: Precise Decision Language 77
4.1 Introduction 77
4.2 Lego-Like Precision 77
4.3 Precise Decision Language 78
4.4 Experts and Distinctions 79
4.5 Mastery 81
4.6 Creating Your Own Distinctions 82
4.7 Footnote 82
4.8 Summary 82
Key Terms 82
Problems 83
Chapter 5: Possibilities 84
5.1 Overview 84
5.2 Creating Distinctions 84
5.3 The Possibility Tree 87
5.4 Measures 94
5.5 Sumary 96
Key Terms 97
Problems 98
Chapter 6: Handling Uncertainty 100
6.1 Introduction 100
6.2 Describing Degree of Belief by Probability 100
6.3 The Probability Tree 104
6.4 Several Degrees of Distinction 113
6.5 Multiple Degrees of Distinction 113
6.6 Probability Trees Using Multiple Distinctions 116
6.7 Adding Measures to the Probability Tree 123
6.8 Multiple Measures 131
6.9 Summary 133
Key Terms 134
Appendix A: The Chain Rule for Distinctions: Calculating Elemental Probabilities 135
Appendix B: Let’s Make a Deal Commentary 137
Appendix C: Further Discussion Related to the Example: At Least One Boy 140
Problems 141
Chapter 7: Relevance 145
7.1 Introduction 145
7.2 Relevance with Simple Distinctions 145
7.3 Is Relevance Mutual? 146
7.4 Relevance Diagrams 148
7.5 Alternate Asessment Orders 152
7.6 Relevance Depends on Knowledge 154
7.7 Distinctive Vs. Asociative Logic 159
7.8 The Third Factor 160
7.9 Multi-Degree Relevance 163
7.10 Summary 163
Key Terms 164
Appendix A: More on Relevance Diagrams and Arrow Reversals 165
Problems 168
Chapter 8: Rules of Actional Thought 178
8.1 Introduction 178
8.2 Using Rules for Decision Making 178
8.3 The Decision Situation 180
8.4 The Five Rules of Actional Thought 181
8.5 Summary 187
Key Terms 188
Problems 189
Chapter 9: The Party Problem 198
9.1 Introduction 198
9.2 The Party Problem 198
9.3 Simplifying the Rules: E-Value 204
9.4 Understanding the Value of the Party Problem 209
9.5 Summary 213
Key Terms 213
Appendix A 214
Problems 215
Chapter 10: Using a Value Measure 216
10.1 Introduction 216
10.2 Money as a Value Measure 216
10.3 u-curves 219
10.4 Valuing Clairvoyance 223
10.5 Jane’s Party Problem 227
10.6 Attitudes toward Risk 230
10.7 Mary’s Party Problem 233
10.8 Summary 235
Key Terms 235
Problems 236
Chapter 11: Risk Attitude 239
11.1 Introduction 239
11.2 Wealth Risk Attitude 239
11.3 Buying and Selling a Deal Around a Cycle of Ownership 240
11.4 The Delta Property 243
11.5 Risk Odds 246
11.6 Delta Property Simplifications 251
11.7 Other Forms of Exponential u-Curve 253
11.8 Direct Assessment of Risk Tolerance 254
11.9 Summary 260
Key Terms 261
Problems 262
Chapter 12: Sensitivity Analysis 269
12.1 Introduction 269
12.2 Kim’s Sensitivity to Probability of Sunshine 269
12.3 Certain Equivalent Sensitivity 271
12.4 Value of Clairvoyance Sensitivity to Probability of Sunshine 272
12.5 Jane’s Sensitivity to Probability of Sunshine 273
12.6 Comparison of Kim’s and Jane’s Value of Clairvoyance Sensitivities 274
12.7 Risk Sensitivity Profile 276
12.8 Summary 278
Key Terms 278
Problems 279
Chapter 13: Basic Information Gathering 287
13.1 Introduction 287
13.2 The Value of Information 287
13.3 The Acme Rain Detector 289
13.4 General Observations on Experiments 295
13.5 Asymmetric Experiments 299
13.6 Information Gathering Equivalents 302
13.7 Summary 305
Problems 307
Chapter 14: Decision Diagrams 314
14.1 Introduction 314
14.2 Nodes in the Decision Diagram 314
14.3 Arrows in Decision Diagrams 315
14.4 Value of Clairvoyance 317
14.5 Imperfect Information 318
14.6 Decision Tree Order 318
14.7 Detector Use Decision 319
14.8 Summary 322
Key Terms 322
Problems 323
Chapter 15: Encoding a Probability Distribution on a Measure 330
15.1 Introduction 330
15.2 Probability Encoding 332
15.3 Fractiles of a Probability Distribution 338
15.4 Summary 346
Key Terms 346
Problems 347
Answers to Problem 2 348
Chapter 16: From Phenomenon to Asesment 349
16.1 Introduction 349
16.2 Information Transmission 349
16.3 Perception 350
16.4 Cognition 351
16.5 Motivation 355
16.6 Summary 355
Key Terms 355
Chapter 17: Framing a Decision 356
17.1 Introduction 356
17.2 Making a Decision 356
17.3 Selecting a Frame 357
17.4 Summary 368
Key Terms 368
Problems 369
Chapter 18: Valuing Information from Multiple Sources\r 370
18.1 Introduction 370
18.2 The Beta Rain Detector 370
18.3 Clarifying the Value of Joint Clairvoyance on Two Distinctions 377
18.4 Value of Information for Multiple Uncertainties 380
18.5 Approaching Clairvoyance with Multiple Acme Detectors 385
18.6 Valuing Individually Immaterial Multiple Detectors 394
18.7 Summary 397
Key Terms 398
Problems 399
Chapter 19: Options 400
19.1 Introduction 400
19.2 Contractual and Non-Contractual Options 400
19.3 Option Price, Exercise Price, and Option Value 401
19.4 Simple Option Analysis 402
19.5 Consequences of Failure to Recognize Options 405
19.6 Jane’s Party Revisited 408
19.7 Value of Clairvoyance as an Option 410
19.8 Sequential Information Options 411
19.9 Sequential Detector Options 414
19.10 Creating Options 414
19.11 Summary 419
Key Terms 419
Problems 420
Chapter 20: Detectors with Multiple Indications 421
20.1 Introduction 421
20.2 Detector with 100 Indications 422
20.3 The Continuous Beta Detector 439
20.4 Summary 445
Key Terms 445
Problems 446
Chapter 21: Decisions with Influences 447
21.1 Introduction 447
21.2 Shirley’s Problem 447
21.3 Summary 462
Key Terms 462
Problems 463
Chapter 22: The Logarithmic u-Curve 464
22.1 Introduction 464
22.2 The Logarithmic u-Curve 465
22.3 Deals with Large Monetary Prospects for a DeltaPerson 469
22.4 Properties of the Logarithmic u-Curve 473
22.5 Certain Equivalent of Two Mutually Irrelevant Deal 478
22.6 The St. Petersburg Paradox 481
22.7 Summary 484
Key Terms 485
Appendix A: The Logarithmic Function and Its Properties 486
Appendix B: The Risk-Aversion Function 487
Appendix C: A Student’s Question Following an Economist Article 488
Problems 493
Chapter 23: The Linear Risk Tolerance u-Curve 495
23.1 Introduction 495
23.2 Linear Risk Tolerance 495
23.3 Summary 503
Key Terms 503
Appendix A: Derivation of Linear Risk Tolerance u-Curve 504
Appendix B: Student’s Problem Using Linear Risk Tolerance u-Curve 505
Problems 507
Chapter 24: Aproximate Expresions for the Certain Equivalent 508
24.1 Introduction 508
24.2 Moments of a Measure 508
24.3 Central Moments of a Measure 512
24.4 Approximating the Certain Equivalent Using First and Second Central Moments 513
24.5 Approximating the Certain Equivalent Using Higher Order Moments 515
24.6 Cumulants 518
24.7 Summary 518
Key Terms 519
Problems 520
Chapter 25: Deterministic and Probabilistic Dominance\r 521
25.1 Introduction 521
25.2 Deterministic Dominance 521
25.3 First-Order Probabilistic Dominance 526
25.4 Second-Order Probabilistic Dominance 530
25.5 Dominance for Alternatives in the Party Problem 534
25.6 Summary 537
Key Terms 537
Problems 538
Chapter 26: Decisions with Multiple Attributes (1)–Ordering Prospects with Preference and Value Functions 539
26.1 Introduction 539
26.2 Step 1: Direct Vs. Indirect Values 540
26.3 Step 2: Ordering Prospects Characterized by Multiple “Direct Value” Attributes 544
26.4 Summary 551
Key Terms 552
Appendix A: Deriving the Relation Between Increments in x and y as a Function of η in the Preference Function 553
Problems 554
Chapter 27: Decisions with Multiple Attributes (2)–Value Functions for Investment Cash Flows: Time Preference 555
27.1 Introduction 555
27.2 Rules for Evaluating Investment Cash Flows 556
27.3 Methods Not Equivalent to the Present Equivalent 567
27.4 Cash Flows: A Single Measure 570
27.5 Summary 570
Key Terms 570
Problems 571
Chapter 28: Decisions With Multiple Attributes (3)–Preference Probabilities Over Value 572
28.1 Introduction 572
28.2 Stating Preference Probabilities with Two Attributes 573
28.3 Stating Preference Probabilities with a Value Function 574
28.4 Stating a u-Curve Over the Value Function 574
28.5 The Value Certain Equivalent 576
28.6 Other u-Function Approaches 578
28.7 Stating a u-Curve Over an Individual Attribute within the Value Function 579
28.8 Valuing Uncertain Cash Flows 582
28.9 Discussion 586
28.10 Summary 587
Key Terms 587
Problems 588
Chapter 29: Betting on Disparate Belief 589
29.1 Introduction 589
29.2 Betting on Disparate Probabilities 589
29.3 Practical Use 593
29.4 Summary 594
Key Terms 594
Problems 595
Chapter 30: Learning From Experimentation 596
30.1 Introduction 596
30.2 Assigning Probability of Head and Tail for the Thumbtack 597
30.3 Probability of Heads on Next Two Tosses 598
30.4 Probability of Any Number of Heads and Tails 599
30.5 Learning from Observation 600
30.6 Conjugate Distributions 603
30.7 Does Observing a Head Make the Probability of a Head on the Next Toss More Likely? 604
30.8 Another Thumbtack Demonstration 605
30.9 Summary 608
Key Terms 608
Problems 609
Chapter 31: Auctions and Biding\r 610
31.1 Introduction 610
31.2 Another Thumbtack Demonstration 610
31.3 Auctions 1 and 3 for a Deltaperson 615
31.4 Non-Deltaperson Analysis 621
31.5 The Value of the Bidding Opportunity for Auction 2 623
31.6 The Winner’s Curse 627
31.7 Summary 639
Key Terms 640
Problems 641
Chapter 32: Evaluating, Scaling, and Sharing Uncertain Deals 643
32.1 Introduction 643
32.2 Scaling and Sharing Risk 643
32.3 Scaling an Uncertain Deal 644
32.4 Risk Sharing of Uncertain Deals 647
32.5 Optimal Investment in a Portfolio 649
32.6 Summary 658
Key Terms 659
Appendix A: Covariance and Correlation 660
Appendix B: Scalar (Dot) Product of Vectors 665
Appendix C: 2 × 2 and 3 × 3 Matrix Multiplications and Matrix Inversion 666
Problems 669
Chapter 33: Making Risky Decisions 670
33.1 Introduction 670
33.2 A Painful Dilemma 670
33.3 Small Probabilities 673
33.4 Using Micromort Values 673
33.5 Applications 675
33.6 Facing Larger Probabilities of Death 677
33.7 Summary 680
Key Terms 680
Problems 681
Chapter 34: Decisions with a High Probability of Death\r 683
34.1 Introduction 683
34.2 Value Function for Remaining Life Years and Consumption 683
34.3 Assigning a u-Curve Over the Value Function 686
34.4 Determining Micromort Values 689
34.5 Equivalent Perfect Life Probability (EPlP) 695
34.6 Summary 697
Key Terms 697
Appendix A: Mortality Table for 30-Year-Old Male 698
Appendix B: Example of a Black Pill Calculation, x = 10,000 701
Appendix C: Example of a White Pill Calculation, x = 10,000 704
Problems 707
Chapter 35: Discretizing Continuous Probability Distributions\r 708
35.1 Introduction 708
35.2 Equal Areas Method 709
35.3 Caution with Discretization 713
35.4 Accuracy of 10–50–90 Approximate Method for Equal Areas 715
35.5 Moments of Discrete and Continuous Measures 718
35.6 Moment Matching Method 718
35.7 Summary 720
Key Terms 720
Appendix A: Rationale for Equal Areas Method 721
Problems 724
Chapter 36: Solving Decision Problems by Simulation 725
36.1 Introduction 725
36.2 Using Simulation for Solving Problems 725
36.3 Simulating Decisions Having a Single Discrete Distinction 726
36.4 Decisions with Multiple Discrete Distinctions 729
36.5 Simulating a Measure with a Continuous Distribution 732
36.6 Simulating Mutually Irrelevant Distinctions 736
36.7 Value of Information with Simulation 738
36.8 Simulating Multiple Distinctions with Relevance 742
36.9 Summary 744
Key Terms 744
Problems 745
Chapter 37: The Decision Analysis Cycle 746
37.1 Introduction 746
37.2 The Decision Analysis Cycle 746
37.3 The Model Sequence 756
37.4 Summary 767
Key Terms 767
Appendix A: Open Loop and Closed Loop Sensitivity for the Bidding Decision 768
Chapter 38: Topics in Organizational Decision Making\r 775
38.1 Introduction 775
38.2 Operating to Maximize Value 776
38.3 Issues When Operating with Budgets 778
38.4 Issues with Incentive Structures 779
38.5 A Common Issue: Multiple Specifications Vs. Tradeoffs 780
38.6 Need for a Corporate Risk Tolerance 781
38.7 Common Motivational Biases in Organizations 785
38.8 Summary 787
Key Terms 787
Problems 788
Chapter 39: Coordinating the Decision Making of Large Groups\r 789
39.1 Introduction 789
39.2 Issues Contributing to Poor Group Decision Making 789
39.3 Classifying Decision Problems 791
39.4 Structuring Decision Problems within Organizations 794
39.5 Example: The Fifth Generation Corvette 799
39.6 Summary 802
Key Terms 802
Chapter 40: Decisions and Ethics\r 803
40.1 Introduction 803
40.2 The Role of Ethics in Decision Making 804
40.3 Ethical Distinctions 805
40.4 Harming, Stealing, and Truth Telling 808
40.5 Ethical Codes 811
40.6 Ethical Situations 812
40.7 Summary 814
Key Terms 815
Problems 816
Index 817
A 817
B 818
C 818
D 819
E 820
F 821
G 821
H 822
I 822
J 822
L 822
M 823
N 823
O 823
P 824
Q 825
R 826
S 826
T 827
U 827
V 828
W 829
Z 829