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Waiting girl sculpture at a bus stop in Aachen, Germany. The wait/walk dilemma occurs when waiting for a bus at a bus stop, when the duration of the wait may exceed the time needed to arrive at a destination by another means, especially walking. Some work on this problem was featured in the 2008 "Year in Ideas" issue of The New York Times ...
The homicidal chauffeur problem is a classic example of a differential game played in continuous time in a continuous state space. The calculus of variations and level set methods can be used as a mathematical framework for investigating solutions of the problem.
Chainstore paradox: Even those who know better play the so-called chain store game in an irrational manner. Decision-making paradox: Selecting the best decision-making method is a decision problem in itself. Ellsberg paradox: People exhibit ambiguity aversion (as distinct from risk aversion), in contradiction with expected utility theory.
The logic puzzle was first produced by Charles Lutwidge Dodgson, who is better known under his pen name Lewis Carroll, the author of Alice's Adventures in Wonderland.In his book The Game of Logic he introduced a game to solve problems such as confirming the conclusion "Some greyhounds are not fat" from the statements "No fat creatures run well" and "Some greyhounds run well". [1]
Because Bernard (who knows the bus number) cannot determine Cheryl's age despite having been told this sum, it must be a sum that is not unique among the possible solutions. On examining all the possible ages, it turns out there are two pairs of sets of possible ages that produce the same sum as each other: 9, 4, 4 and 8, 6, 3, which sum to 17 ...
Math For The Real World is a 1997 educational video game published by Davidson and Associates and was intended to be the first in a "Real World" game series. [2] On June 30, 1998, Davidson merged with the large educational software company Knowledge Adventure, with the new business becoming the publisher of the game in association with Kaplan Inc.
When generalized so that it can be played on an arbitrarily large board, the problem of deciding if a Rush Hour problem has a solution is PSPACE-complete. [4] This is proved by reducing a graph game called nondeterministic constraint logic , which is known to be PSPACE-complete, to generalized Rush Hour positions.
Another related problem is the bottleneck travelling salesman problem: Find a Hamiltonian cycle in a weighted graph with the minimal weight of the weightiest edge. A real-world example is avoiding narrow streets with big buses. [15] The problem is of considerable practical importance, apart from evident transportation and logistics areas.