By Anatol Rapoport
A famous specialist offers basically written discussions of crucial rules with regards to the hugely worthwhile mathematical method of human habit and decision-making. His lucid, obtainable remedy examines such thoughts as "utility," "strategy," and the variation among "non-zero" and "zero-sum" video games. at the very least mathematical necessities makes it available to non-mathematicians. 1970 variation.
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Additional info for Two-Person Game Theory: The Essential Ideas
Surely Castor can do better than that. Let us now suppose that Castor chooses the strategy with the largest average payoff, namely C 3 , the average being computed by assuming that Pollux' choices are 'equiprobable. This choice is already questionable on the grounds that there is no reason to suppose that Pollux will choose at random from his three strategies. Nor does it help to assign probabilities to Pollux' possible choices without somehow justifying these probabilities on grounds other than one's belief or hunch.
Deferring decisions until the corresponding choice must be made does not increase flexibility. Any feeling to the contrary which we may have stems from the well-known circumstance that in real life unforeseen developments occur. In the situations defined as games in game theory there are no such unforeseen developments. Everything that can possibly occur in the course of a play of a game is known. What is not known is the way the opposing player will actually choose each of his moves. But all the choices open to him are known.
90 The man may well choose Ticket B on that basis. Clearly the choice is rational if it is offered many times. For then it is highly probable that the expected gain of a ticket 36 Two-Person Game Theory will be the actual gain averaged over many such tickets. , insurance. However, if the choice between Ticket A and Ticket B is offered only once, it is by no means certain that everyone will prefer Ticket B, nor that it is necessarily the rational choice. For on the single occasion neither of the expected gains will be realized.
Two-Person Game Theory: The Essential Ideas by Anatol Rapoport