Oh but you can but a dinosaur - a dead one. Given enough money you could potentially clone one too.<p>Utility function analysis is arbitrary just as the article says. Compare this to ergodic theory (used for proper dynamic system analysis), where you can clearly derive the value function over number of plays, including infinite number.<p>What an ergodic process is you can see here: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Ergodic_process" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Ergodic_process</a>
By computing the limit of the ensemble average you will derive the logarithmic utility function. This works for finite resources as well, but then you can also derive the time it takes to bankrupt the bank, as well as probability of that ever happening.