Abstract
We discuss two classic search games: Isaacs’ princess and monster game, and Dresher’s high-low guessing game. Despite the fact that these games were introduced decades ago, there are still numerous open problems around them.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Alpern, Search for point in interval, with high-low feedback, Math. Proc. Camb. Phil. Soc. 98 (1985), 569–578.
S. Alpern, R. Fokkink, R. Lindelauf, and G. J. Olsder. Numerical Approaches to the ‘Princess and Monster’ Game on the Interval, Annals Soc. Dynamic Games 10 (2009), 1–9.
B. Bollobás, The art of mathematics, coffee time in Memphis, Cambridge University Press, 2006.
A. Bonato, R.J. Nowakowski, The game of cops and robbers on graphs, American Mathematical Society, 2011.
M. Dresher, Games of Strategy: theory and application, Prentice Hall, 1961.
T.S.Ferguson, A problem of minimax estimation with directional information, Statistics and Probability Letters 26 (1996), 205–211.
R.J. Fokkink, Tossing coins to guess a secret number, Amer. Math. Monthly 119 no. 4 (2012), 337–339.
R.J. Fokkink, M. Stassen, An asymptotic solution of Dresher’s guessing game, Gamesec 2011, LNCS 7037 (2011), 104–116.
S. Gal, Search Games, Academic Press, New York 1980.
L. Geupel, The ‘Princess and Monster’ Game on an Interval, BSc thesis, TU München (2011), http://en.wikipedia.org/wiki/Princess_and_monster_game
R. Isaacs, Differential games, John Wiley and Sons, New York, 1965.
Gilbert, E.: Games of identification and convergence, SIAM Rev., vol. 4 (1), 16–24 (1962).
S. Johnson, A search game, in Advances in Game Theory, M. Dresher, L.S. Shapley, A.W. Tucker (eds), Princeton University press, Princeton 1964, 39–48.
J.E. Littlewood, A mathematician’s miscellany, ed. B. Bollobás, Cambridge University Press, 1986.
A. Pelc, Searching games with errors - fifty years of coping with liars, Theoretical Computer Science 270 (2002), 71–109.
S. Ulam, Adventures of a Mathematician, Scribner, New York, 1976.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fokkink, R., Geupel, L., Kikuta, K. (2013). Open Problems on Search Games. In: Alpern, S., Fokkink, R., Gąsieniec, L., Lindelauf, R., Subrahmanian, V. (eds) Search Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6825-7_5
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6825-7_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6824-0
Online ISBN: 978-1-4614-6825-7
eBook Packages: Computer ScienceComputer Science (R0)