Game theory, bargaining, auctions, pie slicing, swarm sensing for smart agents. Surprisingly widely applicable; for example, one might frame generative adversarial learning as an ingenious mechanism design.

RoboVote is a free service that helps users combine their preferences or opinions into optimal decisions. To do so, RoboVote employs stateoftheart voting methods developed in artificial intelligence research.[…]
For subjective preferences, the approach is known as implicit utilitarian voting. We assume that each participant has a (subjective) utility function that assigns an exact utility to each alternative. Our goal is to choose an outcome that maximizes utilitarian social welfare, which is the total utility assigned to the outcome by all participants. […] we only ask for a ranking of the alternatives. […]
[…]For objective opinions, let us focus first on the case where the desired outcome is a ranking of the alternatives. We assume that there is a true ranking of the alternatives by relative quality, and our goal is to pinpoint a ranking that is as close as possible to the true ranking, given the available information.

Aaron Roth’s Algorithmic Game theory course
In this course, we will take an algorithmic perspective on problems in game theory. We will consider questions such as: how should an auction for scarce goods be structured if the seller wishes to maximize his revenue? How badly will traffic be snarled if drivers each selfishly try to minimize their commute time, compared to if a benevolent dictator directed traffic? How can couples be paired so that no two couples wish to swap partners in hindsight? How can you be as successful at betting on horse races as the best horse racing expert, without knowing anything about horse racing? How can we set prices so that all goods get sold, and everyone gets their favorite good?

The downside: Anonymous assassination markets

spliddit, a website to use optimal cake cutting algorithms to allocate credit/rent/whatever
 the free version is the New york time rent calculator, as mentioned in Albert Sun's article about Su's research into Sperner's lemma (Su99)
Refs
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