Games

You are currently browsing the archive for the Games category.

gametheoryArs Technica has an interesting article today about a paper about to be released in the Proceedings of the National Academy of Sciences (PNAS) about variations to an experiment in Game Theory called the Ultamatum Game. As the Ars article explains,

The basic rules of the Ultimatum Game are simple. One person is given a stack of cash, and told to divide it between themselves and a second party. That second party is then given the chance to accept or reject the offer; if it’s rejected, neither of them get any money. Clearly, any of this free money should be better than nothing, so under assumptions of strictly rational behavior, you might expect all offers to be accepted.

It turns out that tweaking some of the premises of this game leads to some interesting results in terms of human rationality, economic systems, and guilt. I highly recommend reading the article in its entirety. Also, if you’re interested in reading the abstract of actual paper itself, it’s available on the PNAS website here. It also looks like the full paper is available in PDF format if you’d like to read it. Not sure how long it will be available, but it’s there now. Toshio Yamagishi, the lead author, has a website here.

(Photo by cljo)

The Math of Sudoku

There’s a wonderful article over at ars technica about the mathematics of sudoku. Agnes M. Herzberg and M. Ram Murty recently wrote an article in which they explain some of the mathematical underpinnings of the popular puzzles. They explore several fundamental questions such as “does a given sudoku have a unique solution?” The link above provides a great introduction to the formal paper, and also includes a link to the PDF version of the paper. Check it out. One of the great tidbits from the article includes the stat that there are over 5.5 BILLION unique sudoku puzzles. Yikes. That’s keep even the most committed addicts busy for a while!