منابع مشابه
On the Shortest Path Game
In this work we address a game theoretic variant of the shortest path problem, in which two decision makers (agents/players) move together along the edges of a graph from a given starting vertex to a given destination. The two players take turns in deciding in each vertex which edge to traverse next. The decider in each vertex also has to pay the cost of the chosen edge. We want to determine th...
متن کاملOn the shortest path game: extended version
In this work we address a game theoretic variant of the shortest path problem, in which two decision makers (players) move together along the edges of a graph from a given starting vertex to a given destination. The two players take turns in deciding in each vertex which edge to traverse next. The decider in each vertex also has to pay the cost of the chosen edge. We want to determine the path ...
متن کاملStackelberg Shortest Path Tree Game, Revisited
Let G(V,E) be a directed graph with n vertices and m edges. The edges E of G are divided into two types: EF and EP . Each edge of EF has a fixed price. The edges of EP are the priceable edges and their price is not fixed a priori. Let r be a vertex of G. For an assignment of prices to the edges of EP , the revenue is given by the following procedure: select a shortest path tree T from r with re...
متن کاملThe Shortest Connection Game
We introduce Shortest Connection Game, a two-player game played on a directed graph with edge costs. Given two designated vertices in which they start, the players take turns in choosing edges emanating from the vertex they are currently located at. In this way, each of the players forms a path that origins from its respective starting vertex. The game ends as soon as the two paths meet, i.e., ...
متن کاملThe shortest path problem
The shortest path problem is solved and applied to the calculations of half lives with respect to spontaneous fission of heavy nuclei. The dynamical programming method of Bellman and Kalaba is used to find the fission path in the d-dimensional space of deformation parameters. Fission half lives of heavy isotopes (100<Z<110) are shown and compared to the experimental data. 1. Introductory remark...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2017
ISSN: 0166-218X
DOI: 10.1016/j.dam.2015.08.003