The search value of a set

Robbert Fokkink; Ken Kikuta; David Ramsey

doi:10.1007/s10479-016-2252-y

The search value of a set

Robbert Fokkink^*, Ken Kikuta, David Ramsey

^*Corresponding author for this work

Applied Probability

Research output: Contribution to journal › Article › Scientific › peer-review

5 Citations (Scopus)

53 Downloads (Pure)

Abstract

We study search games in which the hider may hide in a finite number of locations. We assume that the cost of searching these locations does not depend on the order in which the locations are searched. From these assumptions we derive that the cost function is submodular, thus placing search games with an immobile hider in the context of coalitional games.

Original language	English
Pages (from-to)	63-73
Number of pages	11
Journal	Annals of Operations Research
Volume	256
Issue number	1
DOIs	https://doi.org/10.1007/s10479-016-2252-y
Publication status	Published - 1 Sept 2017

Keywords

Coalitional game
Search game
Submodular function
Zero-sum game

Access to Document

10.1007/s10479-016-2252-y

10.1007_s10479-016-2252-yFinal published version, 367 KBLicence: CC BY

Cite this

@article{fca9f818df774300b530001fbc936b17,

title = "The search value of a set",

abstract = "We study search games in which the hider may hide in a finite number of locations. We assume that the cost of searching these locations does not depend on the order in which the locations are searched. From these assumptions we derive that the cost function is submodular, thus placing search games with an immobile hider in the context of coalitional games.",

keywords = "Coalitional game, Search game, Submodular function, Zero-sum game",

author = "Robbert Fokkink and Ken Kikuta and David Ramsey",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/s10479-016-2252-y",

language = "English",

volume = "256",

pages = "63--73",

journal = "Annals of Operations Research",

issn = "0254-5330",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - The search value of a set

AU - Fokkink, Robbert

AU - Kikuta, Ken

AU - Ramsey, David

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We study search games in which the hider may hide in a finite number of locations. We assume that the cost of searching these locations does not depend on the order in which the locations are searched. From these assumptions we derive that the cost function is submodular, thus placing search games with an immobile hider in the context of coalitional games.

AB - We study search games in which the hider may hide in a finite number of locations. We assume that the cost of searching these locations does not depend on the order in which the locations are searched. From these assumptions we derive that the cost function is submodular, thus placing search games with an immobile hider in the context of coalitional games.

KW - Coalitional game

KW - Search game

KW - Submodular function

KW - Zero-sum game

UR - http://resolver.tudelft.nl/uuid:fca9f818-df77-4300-b530-001fbc936b17

UR - http://www.scopus.com/inward/record.url?scp=84976314240&partnerID=8YFLogxK

U2 - 10.1007/s10479-016-2252-y

DO - 10.1007/s10479-016-2252-y

M3 - Article

AN - SCOPUS:84976314240

SN - 0254-5330

VL - 256

SP - 63

EP - 73

JO - Annals of Operations Research

JF - Annals of Operations Research

IS - 1

ER -

The search value of a set

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this