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Yes I did. They aren't quite identical and it does make a difference. "that everyone agrees that are identical." Except of course the theory of thermodynamic

Yes I did. They aren't quite identical and it does make a difference. "that everyone agrees that are identical." Except of course the theory of thermodynamics. But now you are going to try to explain to me that the theory of thermodynamics is wrong. Hint: I won't be impressed.

kgwgk 6y ago
Will you believe it from the mouth of Ole Peters himself? This is from the Nature Physics article: "we had worked out in detail the correspondences between linear utility and additive dynamics; and between logarithmic utility and multiplicative dynamics" From "The time resolution of the St Petersburg paradox": "the time-average performance of the lottery is computed. The final result can be phrased mathematically identically to Daniel Bernoulli's resolution, which uses logarithmic utility" "Equation (6.10) is mathematically equivalent to Bernoulli's use of logarithmic utility."
kgwgk 6y ago
Seriously, this is a mathematical fact. The opinion of the theory of thermodynamics is irrelevant and your simulation cannot disprove it. It's not a matter of opinion. There is no reason to disagree. You don't have to take my word for it. You don't even have to believe Ole Peters when he says that asymptotic growth maximization in a multiplicate process is equivalent to logarithmic utility maximization. The maths are not that complex. You can derive it yourself of find a proof and go through it until you're satisfied. You insists a simulation that you coded and ran shows that this mathematical identity is false. I can think of multiple reasons. For example: - you are thinking of something other than a multiplicative process and the maximization of growth and logarithmic utility - you coded something that doesn't does what you think it does - the output you produced doesn't says what you think it says - you have fun playing dumb on the internet

kgwgk 6y ago

Will you believe it from the mouth of Ole Peters himself? This is from the Nature Physics article: "we had worked out in detail the correspondences between linear utility and additive dynamics; and between logarithmic utility and multiplicative dynamics" From "The time resolution of the St Petersburg paradox": "the time-average performance of the lottery is computed. The final result can be phrased mathematically identically to Daniel Bernoulli's resolution, which uses logarithmic utility" "Equation (6.10) is mathematically equivalent to Bernoulli's use of logarithmic utility."

kgwgk 6y ago

Seriously, this is a mathematical fact. The opinion of the theory of thermodynamics is irrelevant and your simulation cannot disprove it. It's not a matter of opinion. There is no reason to disagree. You don't have to take my word for it. You don't even have to believe Ole Peters when he says that asymptotic growth maximization in a multiplicate process is equivalent to logarithmic utility maximization. The maths are not that complex. You can derive it yourself of find a proof and go through it until you're satisfied. You insists a simulation that you coded and ran shows that this mathematical identity is false. I can think of multiple reasons. For example: - you are thinking of something other than a multiplicative process and the maximization of growth and logarithmic utility - you coded something that doesn't does what you think it does - the output you produced doesn't says what you think it says - you have fun playing dumb on the internet