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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
problem 5, chapter 8 of Harrigton Book's Games Strategies and decision making (2009) Nobel Laureate Thomas Schelling once proposed a solution to the problem of how a kidnappee can induce his kidnapper to release him after the kidnappee has learned the identity of the kidnapper. Let’s return to the kidnapping scenario, but instead have the players be Guy (kidnapper) and Orlando (kidnappee). The problem is that one would expect Guy to be inclined to kill Orlando once Orlando sees Guy’s face, since then Orlando, if released, would be able to help the police capture Guy. The situation is as depicted in FIGURE PR8.5. Guy startsoff by deciding whether to kidnap Orlando. Orlando then decides whether to reveal some incriminating details about himself that are unknown to the rest of the world. (Perhaps Orlando stole funds from his church or had an affair unbeknownst to his wife.) Then Guy decides whether to kill or release Orlando. If he releases Orlando, then Orlando has to decide whether to inform the police of his kidnapper’s identity. If he does, and if Orlando revealed his dirty secret to Guy, Guy must then decide whether to share that secret with the world. Find the unique subgame perfect Nash equilibrium, and you’ll find Schelling’s proposed solution.
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