Search games
S Gal - Wiley encyclopedia of operations research and …, 2010 - Wiley Online Library
This article surveys the area of search games with immobile and mobile hider. The search
space is either a graph, a bounded domain or an unbounded set. The search process is …
space is either a graph, a bounded domain or an unbounded set. The search process is …
[图书][B] The theory of search games and rendezvous
Search Theory is one of the original disciplines within the field of Operations Research. It
deals with the problem faced by a Searcher who wishes to minimize the time required to find …
deals with the problem faced by a Searcher who wishes to minimize the time required to find …
Chases and escapes: the mathematics of pursuit and evasion
P Nahin - Chases and Escapes, 2012 - degruyter.com
We all played tag when we were kids. What most of us don't realize is that this simple chase
game is in fact an application of pursuit theory, and that the same principles of games like …
game is in fact an application of pursuit theory, and that the same principles of games like …
Robustness and macroeconomic policy
G Barlevy - Annu. Rev. Econ., 2011 - annualreviews.org
This review considers the design of macroeconomic policies in the face of uncertainty. In
recent years, several economists have advocated that, when policy makers are uncertain …
recent years, several economists have advocated that, when policy makers are uncertain …
Viterbo's conjecture as a worm problem
D Rudolf - Monatshefte für Mathematik, 2023 - Springer
In this paper, we relate Viterbo's conjecture from symplectic geometry to Minkowski versions
of worm problems which are inspired by the well-known Moser worm problem from …
of worm problems which are inspired by the well-known Moser worm problem from …
Fits and covers
JE Wetzel - Mathematics magazine, 2003 - Taylor & Francis
Here and throughout we employ the standard notations for the parts of triangle ABC. We
write a, b, and c for both the segments BC, CA, and AB and their lengths, and α, β, and γ for …
write a, b, and c for both the segments BC, CA, and AB and their lengths, and α, β, and γ for …
Policymaking under uncertainty: Gradualism and robustness
G Barlevy - Economic Perspectives, 2009 - papers.ssrn.com
Some economists have recommended the robust control approach to the formulation of
monetary policy under uncertainty when policymakers cannot attach probabilities to the …
monetary policy under uncertainty when policymakers cannot attach probabilities to the …
Multi-Agent Disk Inspection
J Conley, K Georgiou - arXiv preprint arXiv:2411.15391, 2024 - arxiv.org
We consider $ n $ unit-speed mobile agents initially positioned at the center of a unit disk,
tasked with inspecting all points on the disk's perimeter. A perimeter point is considered …
tasked with inspecting all points on the disk's perimeter. A perimeter point is considered …
Shortest closed curve to inspect a sphere
We show that in Euclidean 3-space any closed curve γ which lies outside the unit sphere
and contains the sphere within its convex hull has length≥ 4 π. Equality holds only when γ …
and contains the sphere within its convex hull has length≥ 4 π. Equality holds only when γ …
A General Solution to Bellman's Lost-in-a-forest Problem
Z Deng - arXiv preprint arXiv:2412.10686, 2024 - arxiv.org
We present a general solution to Bellman's lost-in-a-forest problem. The forest boundary is
known and may take any shape. The starting point and the orientation are unspecified. We …
known and may take any shape. The starting point and the orientation are unspecified. We …