Static search games played over graphs and general metric spaces

Static search games played over graphs and general metric spaces 1 Introduction</h5> In this paper, we define a general search and concealment game that takes full account of the spatial structure of the set over which it is played. The game is static in the sense that players do not move, but deploy simultaneously at particular spatial points and receive payoffs based on their relative positions. In this way, the static spatial search game (SSSG) provides a theoretical foundation for the study of the relative strategic value of different positions in a geography. Using the theory of metric spaces, we model situations in which the searching player may simultaneously search multiple locations based on concepts of distance or adjacency relative to the point at which they are deployed.</P>While the SSSG does build upon previous work, particularly that of Ruckle (1983) and White (1994) , its simplicity and generality together with its explicit consideration of spatial structure set it apart from much of the literature (see Section 3 for a detailed review of related work) and lend it the versatility to describe games over a huge variety of different spaces. The primary contributions of this article are therefore to both propose a highly general model of spatial search and http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png European Journal of Operational Research Elsevier

Static search games played over graphs and general metric spaces

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Publisher
Elsevier
Copyright
Copyright © 2013 The Authors
ISSN
0377-2217
eISSN
1872-6860
D.O.I.
10.1016/j.ejor.2013.06.024
Publisher site
See Article on Publisher Site

Abstract

1 Introduction</h5> In this paper, we define a general search and concealment game that takes full account of the spatial structure of the set over which it is played. The game is static in the sense that players do not move, but deploy simultaneously at particular spatial points and receive payoffs based on their relative positions. In this way, the static spatial search game (SSSG) provides a theoretical foundation for the study of the relative strategic value of different positions in a geography. Using the theory of metric spaces, we model situations in which the searching player may simultaneously search multiple locations based on concepts of distance or adjacency relative to the point at which they are deployed.</P>While the SSSG does build upon previous work, particularly that of Ruckle (1983) and White (1994) , its simplicity and generality together with its explicit consideration of spatial structure set it apart from much of the literature (see Section 3 for a detailed review of related work) and lend it the versatility to describe games over a huge variety of different spaces. The primary contributions of this article are therefore to both propose a highly general model of spatial search and

Journal

European Journal of Operational ResearchElsevier

Published: Dec 16, 2013

References

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