St. Petersburg Paradox(wikipedia.org) The St. Petersburg paradox or St. Petersburg lottery[1] is a paradox involving the game of flipping a coin where the expected payoff of the lottery game is infinite but nevertheless seems to be worth only a very small amount to the participants.
Principal–Agent Problem(wikipedia.org) The principal–agent problem refers to the conflict in interests and priorities that arises when one person or entity (the "agent") takes actions on behalf of another person or entity (the "principal").
Breaking Bell's Inequality with Monte Carlo Simulations in Python(bytepawn.com) In this article, we explore a game that challenges the very foundations of classical physics and introduces us to the strange world of quantum mechanics. The game involves three players — Alice, Bob, and Victor — who perform a series of experiments to test a fundamental principle known as Bell's theorem. By carefully selecting their measurement devices and analyzing the outcomes, Alice and Bob aim to determine whether the physical world can be explained by deterministic local hidden variables.
Analysis of adversarial binary search game(wordpress.com) Alice and Bob are at it again, this time playing a game called Binary Search. Alice begins by secretly selecting an integer *key* from 1 to , then Bob makes a series of integer guesses, to each of which Alice responds indicating whether the guess is correct, or higher than her selected key value, or lower. Bob must pay Alice one dollar for each guess (including the final correct guess). How much should Alice be willing to pay to play this game with Bob?