Despite reopening, it's still important to maintain six feet of distance between yourself and others.Alvaro Sandroni, professor of managerial economics and decision sciences at the Kellogg School, says game theory can be used to estimate how close others will be to you and minimize your own proximity to them.
However, Sandroni's math does uncover an intriguing new wrinkle. If the person who prefers to stay farther away can somehow randomize her position relative to her counterpart — say, if there's a 50-50 chance that she'll be 10 feet to the left or 10 feet to the right — then her counterpart will have to split the difference, giving her some of the space she craves. And in this scenario, both parties will have done the best they can do under the circumstances.
In game theory, there are two kinds of solutions. Some games have what theorists call a "pure" strategy solution, where one can define the precise move each player would make in order to achieve the best outcome possible, given what the other player does. For instance, tic-tac-toe has a pure-strategy solution; you could write an algorithm that always wins or draws, no matter what moves your opponent makes.
By randomizing, you become unpredictable, meaning that your opponent only has a one in three chance of beating you, no matter what strategy she chooses.Why randomizing your position — or staying put — is your best move For the person who prefers to be further away, the optimal strategy is analogous to rock-paper-scissors: stay unpredictable so that your opponent cannot pin you down.
KelloggSchool 1. Don’t join tens of thousands of people in cramped quarters to protest?
KelloggSchool Get too close to me and I’ll start coughing wildly. Set, match, game.
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