Proposal: Game Theory
My introduction to game theory was Axelrod's Evolution of Cooperation, in which he introduces a computer tournament for the iterated prisoner's dilemma with an uncertain ending. As you may know, his paper/book touts Tit-for-Tat, but there have been other strategies introduced since: Tit-for-2Tats, Win-Stay Lose-Shift, Grim Trigger, zero-determinant strategies, etc.
I think a StackExchange site dedicated to game theory could host tournaments like this.
That is, it could clearly explain the rules, have people submit algorithms, let people vote as they see fit, run the tournament (someone would have to do this on their local computer), and then mark the winner as the answer (which may or may not have the most votes). It would be akin to the Code Golf StackExchange.
I've been reading up on what makes a good StackExchange, and one of the articles, "Real Questions Have Answers, not items or ideas or opinions" made me wonder whether this would be within scope (of any StackExchange, but particularly this one)?
So is this a good idea? Or is my exuberance blinding me?
Wikipedia is a great resources for learning about concepts in game theory, as is YouTube, online videos, and textbooks. But these methods depend on self-interest (intrinsic or extrinsic), whereas I feel as though game theory is one of the few subjects that can be experienced. After all, humans are strategic decision makers, so they can generally be put in the situtations we study. So one tag we might have is a pedagogy tag for
How Best to Explain [this Concept] to an Undergraduate
While most questions of this nature garner a couple answers and multitude of votes, it would be more advantageous for the future visitors if there was a horde of answers and a swarm of votes allowing the best answers to flow to the top. Then, visitors can read from best down the different ways to understand and teach different concepts (through illustrative examples, stories, playable games). We could encourage this behavior by offering a bounty (say of +200), just to let people know that we're not looking for the first answer that is "good enough" but for many answers tailored to different types of learners (and teachers).
Specific Example: How Best to Explain Incentive Compatibility in a Second Price Auction?
This is important pedagogically, but also practically. When people play a second price auction, there is evidence that (without explanation) they treat it as a first price auction and shade their bids slightly (but slightly less so than if it actually was a first price auction). In general, behavioral results in games may deviate from the expected behavior (even accounting for risk aversion and other behavioral quirks) because they're using heuristics and learning in a haphazard environment. Imagine if we could show something graphical or change the game form such that the solution is obvious.
Crowdsourcing for answers is one thing StackExchange is good for; maybe collaborating to share and create new pedagogical tools is another.
Another Example: Teaching Mixed Strategy Nash Equilibrium to Undergraduates
Does this sound palatable?