Value of Choice
We are talking about a big difference between accepting a random event 100% of the time and making a choice according to values. Suppose that every day, random jobs are assigned to you. What difference will there be after 100 jobs if you accept all of them or if you accept half of the jobs that go in the direction that is favorable to you and decline half of the ones that go away? #Subjectivity https://gyazo.com/0ada95f96b8b74a8bbe2002c6c63e261
The blue 0s are groups where the peak mountain did not make a proactive choice, and the orange 40s are groups where the peak mountain half-refused; being near 0 is a situation of mediocrity, lack of character, and failure to build a carrier. The effect of having Refusal Options is very significant. Once you have a clear values axis, you can move in the direction that matches your values by simply selecting and choosing random events that appear on a daily basis based on whether or not to move in the direction of your values axis. Compared to the distribution of results for those who did not make selection due to circumstances, the difference is obvious after only 100 steps. In situations where a minority group benefits, it is very advantageous to be in the minority. The reason is that if you are near the origin, the probability of profiting is low.
Suppose two random jobs are assigned to you on a daily basis; how is it different if you choose to accept the one that goes in your favor out of the two, compared to the "if it's not favorable, don't accept it" case above?
https://gyazo.com/7dbbc22851b91ffddc9b801ccef9a7fc
The one who chose between two options to undertake (blue) had an average value around 55. The expected value is higher for the one who chooses to perform the preferred task. Both choices are two options, "do/not do Task A" and "Task A/Task B," but the expectation value is higher when there are multiple task options.
This is due to the higher expected value of "do the more convenient" (blue: expected value 0.56) than "do not do when it is inconvenient" (orange: expected value 0.40) for the single task.
https://gyazo.com/0b5b0d771071acce6f02f93bcad229c3
In addition, of course, the three choices of "do Task A/do Task B/do not do Task A" are even better.
https://gyazo.com/c3d6f1328314018a88e1fbe6e62e56c1
Original Idea: It would be interesting to compare the distribution of a simple random walk with that of choosing between two random alternatives that are closer to one's values
Experimental condition, "random work" is a standard normal distribution with mean 0 and variance 1.
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