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formal game for Schelling's “rocking the boat”?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Reasonable strategy for simple gameHackenbush game strategy for stalkOptimal strategy for the Rope Climbing GameBest strategy for this game. [Nintendo Wii game]Game Theory: What are Best Strategies for High-Low game (game details are below)?Nash Equilibria for the Effort Level GameBest strategy for this gameAn algorithm for a game.Game theory Centipede gameComputing the Core-Center for the Following Game










0












$begingroup$


In The Strategy of Conflict, Thomas Schelling writes:




If I say, “Row, or I’ll tip the boat over and drown us both,” you’ll say you don’t believe me. But if I rock the boat so that it may tip over, you’ll be more impressed. If I can’t administer pain short of death for the two of us, a “little bit” of death, in the form of a small probability that the boat will tip over, is a near equivalent. But, to make it work, I must really put the boat in jeopardy; just saying that I may turn us both over is unconvincing.




But not much in this book is formal game theory.



My question: Is there a formal game theory analogue (i.e., something you could write proofs about) for this dynamic?



Maybe I'd be looking for something with a "subgame perfect" equilibrium that includes a threat like this.










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    In The Strategy of Conflict, Thomas Schelling writes:




    If I say, “Row, or I’ll tip the boat over and drown us both,” you’ll say you don’t believe me. But if I rock the boat so that it may tip over, you’ll be more impressed. If I can’t administer pain short of death for the two of us, a “little bit” of death, in the form of a small probability that the boat will tip over, is a near equivalent. But, to make it work, I must really put the boat in jeopardy; just saying that I may turn us both over is unconvincing.




    But not much in this book is formal game theory.



    My question: Is there a formal game theory analogue (i.e., something you could write proofs about) for this dynamic?



    Maybe I'd be looking for something with a "subgame perfect" equilibrium that includes a threat like this.










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      In The Strategy of Conflict, Thomas Schelling writes:




      If I say, “Row, or I’ll tip the boat over and drown us both,” you’ll say you don’t believe me. But if I rock the boat so that it may tip over, you’ll be more impressed. If I can’t administer pain short of death for the two of us, a “little bit” of death, in the form of a small probability that the boat will tip over, is a near equivalent. But, to make it work, I must really put the boat in jeopardy; just saying that I may turn us both over is unconvincing.




      But not much in this book is formal game theory.



      My question: Is there a formal game theory analogue (i.e., something you could write proofs about) for this dynamic?



      Maybe I'd be looking for something with a "subgame perfect" equilibrium that includes a threat like this.










      share|cite|improve this question









      $endgroup$




      In The Strategy of Conflict, Thomas Schelling writes:




      If I say, “Row, or I’ll tip the boat over and drown us both,” you’ll say you don’t believe me. But if I rock the boat so that it may tip over, you’ll be more impressed. If I can’t administer pain short of death for the two of us, a “little bit” of death, in the form of a small probability that the boat will tip over, is a near equivalent. But, to make it work, I must really put the boat in jeopardy; just saying that I may turn us both over is unconvincing.




      But not much in this book is formal game theory.



      My question: Is there a formal game theory analogue (i.e., something you could write proofs about) for this dynamic?



      Maybe I'd be looking for something with a "subgame perfect" equilibrium that includes a threat like this.







      game-theory






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 27 at 16:50









      DavidCDavidC

      1012




      1012




















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