On 11/10/2012 9:53 PM, Russell Standish wrote:

Correct. A stochastic decision is obviously not reasoned, so the decision itself cannot be rational.

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`But that wasn't the original assertion. You said that a rational person could,`

`necessarily, on chose one action. So if the rational decision is to flip a coin and do X`

`if it's heads and Y if it's tails, then the action chosen is not deterministic.`

The question is whether an agent using a stochastic strategy can be said to be behaving rationally. I do see your point that the choice of strategy is rational, but then in that case the strategy choice is deterministic.

But the original question was about actions - not beliefs or strategies. Brent

What is hard to get a grips on is how the term is used in the literature, particularly vis-a-vis iterated games, where stochatsic strategies can have better payoff.

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