Game Theory and the Humanities Bridging Two Worlds

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Format: Paperback
Pub. Date: 2012-08-17
Publisher(s): The MIT Press
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Summary

Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. Much of Brams's analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power. Brams examines such topics as the outcome and payoff matrix of Pascal's wager on the existence of God; the strategic games played by presidents and Supreme Court justices; and how information was slowly uncovered in the game played by Hamlet and Claudius. The reader gains not just new insights into the actions of certain literary and historical characters but also a larger strategic perspective on the choices that make us human.

Author Biography

Steven J. Brams is Professor of Politics at New York University. He is the author of Biblical Games: Game Theory and the Hebrew Bible (MIT Press, revised edition 2003) and other books.

Table of Contents

Prefacep. ix
Acknowledgmentsp. xiii
Game Theory and Literature: An Overviewp. 1
Introductionp. 1
Method of Inquiryp. 4
Avoidance and Acceptance of the Minimax Theoremp. 5
Are Zero-Sum Games Emotionless?p. 11
The Rationality of Tragedyp. 13
Coordination Problems, Signaling, and Commitmentp. 16
The Devil and Godp. 19
Reputation and Intrapsychic Gamesp. 21
Wherein Lies the Future?p. 24
TheBible: Sacrifice and Unrequited Lovep. 29
Introductionp. 29
Abraham's Sacrificep. 31
What If Abraham Had Refused to Sacrifice Isaac?p. 42
Samson and Delilahp. 50
Theory of Moves (TOM)p. 57
Emotions, Feasible Moves, and Moralityp. 65
Theology: Is It Rational to Believe in God?p. 69
Introductionp. 69
Pascal's Wager and the Search Decisionp. 72
The Concern Decisionp. 77
The Revelation Gamep. 81
Decisions versus Gamesp. 91
Philosophy: Paradoxes of Fair Divisionp. 93
Introductionp. 93
Criteria and Classificationp. 95
Efficiency and Envy-Freeness: They May Be Incompatiblep. 97
Unique Efficient and Envy-Free Divisions: Their Incompatibility with Other Criteriap. 100
The Desirability of Unequal Divisions (Sometimes)p. 102
Summary and Conclusionsp. 108
Political Philosophy: How Democracy Resolves Conflict in Difficult Gamesp. 111
Introductionp. 111
Resolution by Voting in a 2-Person PDp. 113
Resolution by Voting in an n-Person PDp. 115
Example of an n-Person PDp. 117
A Biblical Talep. 119
Other Difficult Gamesp. 121
Summary and Conclusionsp. 125
Law: Supreme Court Challenges and Jury Selectionp. 127
Introductionp. 127
The White House Tapes Casep. 128
Analysis of the White House Tapes Gamep. 136
The Roosevelt Court and the New Dealp. 140
Jury Selectionp. 146
Summary and Conclusionsp. 152
Plays: Modeling Frustration and Angerp. 155
Introductionp. 155
The Frustration Gamep. 159
Lysistrata: Overcoming Frustration with a Credible Threatp. 165
The Self-Frustration Gamep. 170
Macbeth: From Self-Frustration to Murderp. 175
Summary and Conclusionsp. 180
History: Magnanimity after Warsp. 185
Introductionp. 185
The Two-Sidedness Conventionp. 187
Different Views on the Rationality of Magnanimity after Warsp. 190
The Magnanimity Game (MG)p. 191
Applications of MG to Historical Casesp. 197
Why Did the Confederacy Initiate the U.S. Civil War?p. 201
Summary and Conclusionsp. 207
Incomplete Information in Literature and Historyp. 209
Introductionp. 209
Information Revelation in Hamletp. 211
Incomplete Information in the Magnanimity Game (MG)p. 217
Misperception in the Iran Hostage Crisisp. 219
The Cuban Missile Crisis: Moving, Order, and Threat Powerp. 226
Deception in the Cuban Missile Crisisp. 236
The Paradox of Omnisciencep. 240
Summary and Conclusionsp. 244
Catch-22s in Literature and Historyp. 247
Introductionp. 247
TOM: Cyclic Gamesp. 250
Moving Power in TOMp. 253
The Original Catch-22 Game and the Generic Gamep. 256
The Witch Trialsp. 263
King-of-the-Mountain Gamesp. 268
Summary and Conclusionsp. 270
Summary and Conclusionsp. 275
Appendixp. 281
Glossaryp. 287
Referencesp. 295
Indexp. 311
Table of Contents provided by Ingram. All Rights Reserved.

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