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Friendly Frogs, Stable Marriage, and the Magic of Invariance
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 3
2017 (English)In: The American mathematical monthly, ISSN 0002-9890, E-ISSN 1930-0972, Vol. 124, no 5, 387-402 p.Article in journal (Refereed) Published
Abstract [en]

We introduce a two-player game involving two tokens located at points of a fixed set. The players take turns moving a token to an unoccupied point in such a way that the distance between the two tokens is decreased. Optimal strategies for this game and its variants are intimately tied to Gale-Shapley stable marriage. We focus particularly on the case of random infinite sets, where we use invariance, ergodicity, mass transport, and deletion-tolerance to determine game outcomes.

Place, publisher, year, edition, pages
2017. Vol. 124, no 5, 387-402 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-144872DOI: 10.4169/amer.math.monthly.124.5.387ISI: 000401413800001OAI: oai:DiVA.org:su-144872DiVA: diva2:1116874
Available from: 2017-06-28 Created: 2017-06-28 Last updated: 2017-06-28Bibliographically approved

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