World War II Battles Reconsidered
Game Theory and Decision Science Perspectives on Gazala, El Alamein, Falaise and Arnhem
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About the Book
Written by a former Harvard professor of decision science and game theory, this book presents original insights on the strategies and tactics undertaken in four major battles of the Second World War. That the fighting at Gazala in Libya in the late spring of 1942 constituted what has been called “probably the most spectacular series of victories ever gained over a British army” was in part due to its having violated the game-theoretic Zero-Sum Maxim of Napoleon: “Do not do what your enemy wishes you to.” The sensational British reversal of that disaster later that year at El Alamein in Egypt derived largely from heeding the millennia-old military priority of command unity, which has been analyzed and re-endorsed by modern decision science. This discipline has also judged the somewhat disappointing victory of the Allies at Falaise in France in August of 1944 to have resulted from excessive risk aversion—possibly induced by three different types of fatigue. One month later, the Allied setback at Arnhem in the Netherlands called into question, from the perspective of game theory, the value of battlefield surprise. These decisions, approached from an expert perspective on game theory and presented with high-quality maps, are presented in this pioneering application of decision science to the battles of World War II.
About the Author(s)
Bibliographic Details
Mark Thompson
Format: softcover (7 x 10)
Pages: 278
Bibliographic Info: notes, bibliography, index
Copyright Date: 2025
pISBN: 978-1-4766-9673-7
eISBN: 978-1-4766-5472-0
Imprint: McFarland
Table of Contents
Acknowledgments vi
Prologue 1
1. A Framework for Assessing Military Decisions 7
Rating Outcomes 7
Factors Affecting Outcomes 10
Meta-Decisions and Situational Factors 11
Informational Decisions 19
Strategic and Tactical Considerations 26
Chapter Recapitulation: A Framework for Understanding and Assessing Meta-Decisions, Situational Factors, Informational Decisions, Strategic and Tactical Considerations, and Their Consequences 40
2. Gazala 45
The Warring World 45
Over-Promoted and Under-Competent: The Meta-Decision on Eighth Army Command at Gazala 51
“Lamentable” British Inaction “while the Russians were fighting desperately and valiantly”: Pre-Battle Decisions
53
Pushback to Prime Ministerial Pressure: Enabling the Axis to Move First 55
“Seriously worried” Rommel: The Outcome of the First Two Days 56
Baseless British Bravado, Stirring French Staunchness, and Annihilative German Efficiency: In-Battle Decisions Over Two-Plus Weeks 57
“Tobruk must be held … and I order you to do it”: Late-Battle Decision Reversal 60
“Defeat is one thing; disgrace is another”: Rating the Outcome 62
At Speed into Egypt Up to a Small Depot 63
“Killing a magnificent stag”: Meta-Decisions on British Commands 65
Force Strengths 67
“Ah, now we’ve got him”: Confidence and Morale 69
“Tell[ing] a chief … the things he most likes to hear”: Concentration, Reporting, Fatigue, and Luck 71
“Rommel, Rommel, Rommel! What else matters but beating him!” Principal-Agent Disconnect 73
Cowpats and Concentration: Rating the Meta-Decision on Eighth Army Command 75
Meta-Decisional Query: Whose Was the “crowning blunder” That Lost 33,000 Commonwealth Soldiers at Tobruk to Captivity? 77
“Barking out orders” versus “an awful lot of paperwork”: Meta-Decisional Differences 79
“Much resented”: Organizational Behavior, Military Politics, and Commander Positioning 80
“Cloud cuckoo land”: Informational Delusion 82
“Continued magnificent work”: Informational Processes 83
Negative Information Value: Misinterpretation 85
Positive Information Value: The American Leak 87
“But the bear blew first”: Move-Order Decisions 88
Deciding: Likelihoods, Values, and Aversions to Risk and Loss 89
Conclusions • 90
3. El Alamein 92
Prodding for Mines in Moonlight with Bayonets 92
The Zero-Sum Maxim of Napoleon Turned Around: Battle Decisions at El Alamein 95
“With an insubordinate smile”: Montgomery Comes to the Eighth Army 99
“A queer little bloke”: Rating the Meta-Decisional Command Changes 100
“Our last chance of an offensive”: Pre-Battle Decisions at Alam Halfa 103
“The swine isn’t attacking”: Mid-Battle Decision at Alam Halfa 105
“Our last chance of gaining the Suez Canal had gone”: Results and Explanations 107
Announcing the Imminent Axis Capture of Alexandria: The Lead-Up to October 23 108
The Battle 108
So Close to Full: “Ring the bells all over Britain for the first time this war” 110
But Not Quite: The Cut-Short Cop 111
Force Strengths: Pitchfork Against Tommy-Gun 112
Probable Failure versus Assured Complete Victory: Framing the Decision on Attack Timing 113
“Gnaw[ing] their way yard by yard”: Battle Decisions of Montgomery 115
“Military interests” versus “propaganda”: Pre–and Mid-Battle Decisions of the Axis 117
Post-Battle Decisions of Montgomery 119
“Cautious—to my mind, excessively so”: Rommel on Montgomery 122
Was Montgomery Just “lucky … to have such immense resources?”: Eighth Army Upgrades 123
“Complete chaos existed”: Informational Advantage 123
“Had we not got a single general who could even win one single battle?” Having Appropriate Resolution 125
“As lost as a dray horse on a polo field”: The Escape of Rommel’s Army 127
“So proud of his success to date”: The Behavior Respecting Risk of Montgomery 130
Conclusions 131
4. Falaise 138
“Probably the most costly, controversial order given in the European theatre during World War Two” 138
“A solid shoulder” or “a broken neck”: The Decision of Bradley on August 13, 1944 140
Throw Them Back “into the sea”: The Counterattack through Mortain 144
Bradley as Second-Mover: Reacting to the Attack of Hitler at Mortain 145
“A kick up the fork”: Decisions and Non-Decisions of Montgomery 148
Force Destruction versus River Crossing: The Decision of Bradley of August 14 150
The Outcome: “August 15 was the worst day of my [Hitler’s] life” 151
The Long and the Short of the Hooks 154
A Clear Allied Triumph, If Not “the greatest achievement in military history,” Yet One More Incomplete Cop: Rating the Outcome 157
“Still comparatively virgin”: Explaining the Outcome 158
“Something altogether uprooted that wanders around”: Rating the Decisions on the Counterattack 60
“An arrogant slap in the face”: Reasons for Bradley’s Decision of August 13 161
“Patton had to be saved from himself”: Assessing a Major Reason for Bradley’s Decision 163
“Monty happily forgave us our trespasses”: Assessing Other Justifications of Bradley’s Decision 164
“A great mistake”: Rating Bradley’s Decision of August 13 166
“Squeezing the toothpaste”: Rating the Decisions on the Northern Jaw 167
“I still don’t understand why the Allies did not crush us”: Rating the Later Decisions 168
“Who was responsible to whom”: Meta-Decisional Muddling of Responsibility 170
“Pay no attention to Monty’s Goddamn boundaries”: Coordinational Confusion 172
“Egregiously wrong”: Inconstant Information 174
When Were the Allied Commanders Wrong? 176
What Would Napoleon Have Done? 177
Conclusions 178
Decision-Scientific Addendum to Chapter 4 182
5. Arnhem 188
We “simply stared, stunned, like fools” 188
“Militarily the war is won”: The Decision on Arnhem 191
The First Week: The Planning Fallacy Again 197
“I shall probably give it up”: The Decision to Retreat 199
“Few episodes more glorious” or Jumping Off a Cliff: Ratings of the Outcome 201
Force Strengths 202
“Unquestionably would have been successful”: Luck 203
“Steady, Monty…. I’m your boss”: Meta-Decisions and Situational Factors 205
“Fantastic” Thoughts of Berlin, “lust for glory,” and Interpersonal Tension 207
“Winc[ing]” in Recognition of Stiffened Enemy Resistance 208
Those Photographed Tanks Must Need Servicing: Informational Interpretations 210
The Underappreciated Alternative: Taking the Scheldt 212
“Napoleon would no doubt have realized … but Horrocks didn’t”: Informational Processes 214
“Had the pious teetotaling Montgomery wobbled into [Allied headquarters] with a hangover, I could not have been more astonished”: The Value of Surprise 216
Choosing Among Alternatives: Was Arnhem, Indeed, a Bridge Too Far? 218
Risk Aversion 218
At a Crest at Brest: The Sunk-Cost Fallacy 219
Concentration into “one really powerful and full-blooded thrust”: Military Precepts Invoked 223
Conclusions 224
Game-Theoretic Addendum to Chapter 5 227
Actual Strategic Choices 231
Chapter Notes 233
Bibliography 253
Index 259