Question

What does St. Petersburg paradox tell us about utility functions and expected utility theory?

Answer 1

The Expected utility hypothesis manages the investigation of circumstances where people must settle on a choice without knowing which results may result from that choice, this is, basic leadership under vulnerability. These people will pick the demonstration that will bring about the most elevated anticipated utility, being this the whole of the results of likelihood and utility over every conceivable result. The choice caused the will to likewise rely upon the operator's hazard avoidance and the utility of different specialists.

Expected utility is a financial term condensing the utility that a substance or total economy is relied upon to reach under any number of conditions. The normal utility is determined by taking the weighted normal of every single imaginable result in specific situations, with the loads being allotted by the probability, or probability, that a definite occasion will happen.

Expected utility hypothesis is utilized as an instrument for examining circumstances where people must settle on a choice without knowing which results may result from that choice, i.e., basic leadership under vulnerability. These people will pick the activity that will bring about the most elevated anticipated utility, which is the entirety of the results of likelihood and utility over every single imaginable result. The choice caused the will to likewise rely upon the specialist's hazard avoidance and the utility of different operators.

The St. Petersburg Paradox can be shown as a round of chance in which a coin is hurled at in each play of the game. For example, if the stakes begin at $2 and twofold every time heads shows up, and the first run through tails shows up, the game finishes and the player wins whatever is in the pot. Under such game guidelines, the player wins $2 if tails show up on the primary hurl, $4 if heads show up on the principal hurl and tails on the second, $8 if heads show up on the initial two hurls and tails on the third, etc. Scientifically, the player wins 2k dollars, where k equivalents number of hurls (k must be an entire number and more noteworthy than zero). Accepting the game can proceed as long as the coin hurl brings about heads and specifically that the gambling club has boundless assets, this aggregate develops without binding thus the normal win for rehashed play is a vast measure of cash.