Search Games and Other Applications of Game Theory

“This book presents an interesting approach to game theory where the model situations are introduced first and the development of theory follows from an analysis of the model.” (Srinivas Raghava Mohan, zbMATH 0954.91015, 2022)

• 1 Preliminary Results from Game Theory.- 1.1 Zero-sum Games.- 1.2 Non-zero-sum Games.- 2 Ambush Games.- 2.1 An Infiltration Game with a Cable.- 2.2 An Infiltration Game with Two Cables.- 2.3 Further Reading.- 2.4 Number Hides Game.- 2.5 Matrix Search Games.- 2.6 Helicopter Versus Submarine Game.- Problems.- 3 Allocation Games.- 3.1 One-Sided Allocation Game Without Search Cost.- 3.2 One-Sided Allocation Game with Search Cost.- 3.3 Further Reading.- 3.4 Two-Sided Allocation Game Without Search Cost.- 3.5 Two-Sided Allocation Game with Search Cost.- 3.6 A Non-Zero Sum Two-Sided Allocation Game.- 3.7 One Person Search Game.- 3.8 Marketing Games Without Taking into Acount Expenses.- 3.9 Marketing Games Taking into Acount Expenses.- Problems.- 4 Dynamic Infiltration and Inspection Games.- 4.1 A Multi—Stage Infiltration Game with a Bunker.- 4.2 A Multi—Stage Customs and Smuggler Game.- 4.3 Further Reading.- Problems.- 4.4 Inspection Game.- 4.5 Game with a Safe Zone, I.- 4.6 Game with a SafeZone, II.- 4.7 Game Without Safe Zone.- 4.8 Further Reading.- Problems.- 5 Games of Timing.- 5.1 Non-zero Sum Silent Duel.- 5.2 Non-zero Sum Noisy Duel.- 5.3 Non-zero Sum Silent-Noisy Duel.- 5.4 A Duel with Random Termination Time.- 5.5 A Noisy Duel with Random Termination Time.- 5.6 A Silent-Noisy Duel with Random Termination Time.- 5.7 A Duel over a Cake.- 5.8 R & D Game.- Problems.- 6 Parlour Games.- 6.1 Cover-up Game.- 6.2 Exchange Games.- 6.3 Poker Games.- 6.4 One-Person Games with a Threshold.- 6.5 Two-Person Games.