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Related papers: Stackelberg Shortest Path Tree Game, Revisited

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Stackelberg Pricing Games is a two-level combinatorial pricing problem studied in the Economics, Operation Research, and Computer Science communities. In this paper, we consider the decade-old shortest path version of this problem which is…

Computer Science and Game Theory · Computer Science 2009-10-05 Parinya Chalermsook , Bundit Laekhanukit , Danupon Nanongkai

We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost. Based on the leader's decision one or more…

Data Structures and Algorithms · Computer Science 2008-02-21 Patrick Briest , Martin Hoefer , Piotr Krysta

We consider the Stackelberg shortest-path pricing problem, which is defined as follows. Given a graph G with fixed-cost and pricable edges and two distinct vertices s and t, we may assign prices to the pricable edges. Based on the…

Data Structures and Algorithms · Computer Science 2009-10-02 Patrick Briest , Sanjeev Khanna

The Stackelberg Minimum Spanning Tree Game is a two-level combinatorial pricing problem played on a graph representing a network. Its edges are colored either red or blue, and the red edges have a given fixed cost, representing the…

Computer Science and Game Theory · Computer Science 2013-05-24 Jean Cardinal , Erik D. Demaine , Samuel Fiorini , Gwenaël Joret , Ilan Newman , Oren Weimann

We consider a one-round two-player network pricing game, the Stackelberg Minimum Spanning Tree game or StackMST. The game is played on a graph (representing a network), whose edges are colored either red or blue, and where the red edges…

Computer Science and Game Theory · Computer Science 2011-03-07 Jean Cardinal , Erik D. Demaine , Samuel Fiorini , Gwenaël Joret , Stefan Langerman , Ilan Newman , Oren Weimann

A Stackelberg Vertex Cover game is played on an undirected graph $\mathcal{G}$ where some of the vertices are under the control of a \emph{leader}. The remaining vertices are assigned a fixed weight. The game is played in two stages. First,…

Computer Science and Game Theory · Computer Science 2023-09-25 Katharina Eickhoff , Lennart Kauther , Britta Peis

Let be given a graph $G=(V,E)$ whose edge set is partitioned into a set $R$ of \emph{red} edges and a set $B$ of \emph{blue} edges, and assume that red edges are weighted and form a spanning tree of $G$. Then, the \emph{Stackelberg Minimum…

Computer Science and Game Theory · Computer Science 2014-07-07 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

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…

Computer Science and Game Theory · Computer Science 2015-11-26 Andreas Darmann , Ulrich Pferschy , Joachim Schauer

Identifying shortest paths between nodes in a network is an important task in many applications. Recent work has shown that a malicious actor can manipulate a graph to make traffic between two nodes of interest follow their target path. In…

Social and Information Networks · Computer Science 2025-05-01 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld

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…

Discrete Mathematics · Computer Science 2015-06-02 Andreas Darmann , Ulrich Pferschy , Joachim Schauer

We study a Stackelberg variant of the classical Most Vital Links problem, modeled as a one-round adversarial game between an attacker and a defender. The attacker strategically removes up to $k$ edges from a flow network to maximally…

Data Structures and Algorithms · Computer Science 2025-11-17 Pål Grønås Drange , Fedor V. Fomin , Petr Golovach , Danil Sagunov

In a Stackelberg network pricing game, a leader sets prices for a given subset of edges so as to maximize profit, after which one or multiple followers choose a shortest path from their source to sink. We study the counter-intuitive…

Computer Science and Game Theory · Computer Science 2019-04-19 Andrés Cristi , Marc Schröder

We study Stackelberg equilibria in finitely repeated games, where the leader commits to a strategy that picks actions in each round and can be adaptive to the history of play (i.e. they commit to an algorithm). In particular, we study…

Computer Science and Game Theory · Computer Science 2024-03-08 Natalie Collina , Eshwar Ram Arunachaleswaran , Michael Kearns

As the core issue of blockchain, the mining requires solving a proof-of-work puzzle, which is resource expensive to implement in mobile devices due to high computing power needed. Thus, the development of blockchain in mobile applications…

Computer Science and Game Theory · Computer Science 2018-11-20 Zehui Xiong , Shaohan Feng , Dusit Niyato , Ping Wang , Zhu Han

The mining process in blockchain requires solving a proof-of-work puzzle, which is resource expensive to implement in mobile devices due to the high computing power and energy needed. In this paper, we, for the first time, consider edge…

Cryptography and Security · Computer Science 2018-11-20 Zehui Xiong , Shaohan Feng , Wenbo Wang , Dusit Niyato , Ping Wang , Zhu Han

This contribution deals with a two-level discrete decision problem, a so-called Stackelberg strategic game: A Subset Sum setting is addressed with a set $N$ of items with given integer weights. One distinguished player, the leader, may…

Discrete Mathematics · Computer Science 2018-01-12 Ulrich Pferschy , Gaia Nicosia , Andrea Pacifici

In the swap game (SG) selfish players, each of which is associated to a vertex, form a graph by edge swaps, i.e., a player changes its strategy by simultaneously removing an adjacent edge and forming a new edge (Alon et al., 2013). The cost…

Artificial Intelligence · Computer Science 2019-11-13 Shotaro Yoshimura , Yukiko Yamauchi

In this paper we describe an algorithm that embeds a graph metric $(V,d_G)$ on an undirected weighted graph $G=(V,E)$ into a distribution of tree metrics $(T,D_T)$ such that for every pair $u,v\in V$, $d_G(u,v)\leq d_T(u,v)$ and…

Data Structures and Algorithms · Computer Science 2017-05-29 Guy E. Blelloch , Yan Gu , Yihan Sun

Given a directed graph $G$ with arbitrary real-valued weights, the single source shortest-path problem (SSSP) asks for, given a source $s$ in $G$, finding a shortest path from $s$ to each vertex $v$ in $G$. A classical SSSP algorithm…

Data Structures and Algorithms · Computer Science 2019-03-06 Sanjiang Li , Yongming Li

This paper analyzes a class of Stackelberg games where different actors compete for shared resources and a central authority tries to balance the demand through a pricing mechanism. Situations like this can for instance occur when fleet…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis
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