Search for a moving target in a competitive environment

Author:

Duvocelle BenoitORCID,Flesch János,Shi Hui Min,Vermeulen Dries

Abstract

AbstractWe consider a discrete-time dynamic search game in which a number of players compete to find an invisible object that is moving according to a time-varying Markov chain. We examine the subgame perfect equilibria of these games. The main result of the paper is that the set of subgame perfect equilibria is exactly the set of greedy strategy profiles, i.e. those strategy profiles in which the players always choose an action that maximizes their probability of immediately finding the object. We discuss various variations and extensions of the model.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Economics and Econometrics,Social Sciences (miscellaneous),Mathematics (miscellaneous),Statistics and Probability

Reference16 articles.

1. Alpern S, Gal S (2006) The theory of search games and rendezvous. Springer Science & Business Media, New York

2. Alpern S, Fokkink R, Gasieniec L, Lindelauf R, Subrahmanian VS (2013) Search theory. Springer, Berlin

3. Assaf D, Sharlin-Bilitzky A (1994) Dynamic search for a moving target. J Appl Probab 31(2):438–457

4. Benkoski SJ, Monticino MG, Weisinger JR (1991) A survey of the search theory literature. Naval Res Logist (NRL) 38(4):469–494

5. Duvocelle B, Flesch J, Staudigl M, Vermeulen D (2020) A competitive search game with a moving target. arXiv preprint, arXiv:2008.12032

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