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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

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

We propose a generalization of the Bass diffusion model in discrete-time that explicitly models the effect of price in adoption. Our model is different from earlier price-incorporated models and fits well to adoption data for various…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Yijin Wang , Subhonmesh Bose

Consider the following toy problem. There are $m$ rectangles and $n$ points on the plane. Each rectangle $R$ is a consumer with budget $B_R$, who is interested in purchasing the cheapest item (point) inside R, given that she has enough…

Computer Science and Game Theory · Computer Science 2012-07-25 Parinya Chalermsook , Khaled Elbassioni , Danupon Nanongkai , He Sun

Peer-to-peer (P2P) energy trading is a promising market scheme to accommodate the increasing distributed energy resources (DERs). However, how P2P to be integrated into the existing power systems remains to be investigated. In this paper,…

Computational Engineering, Finance, and Science · Computer Science 2022-08-24 Yu Yang , Yue Chen , Guoqiang Hu , Costas J. Spanos

A Stackelberg game is played between a leader and a follower. The leader first chooses an action, then the follower plays his best response. The goal of the leader is to pick the action that will maximize his payoff given the follower's…

Data Structures and Algorithms · Computer Science 2015-11-19 Aaron Roth , Jonathan Ullman , Zhiwei Steven Wu

We study a natural combinatorial pricing problem for sequentially arriving buyers with equal budgets. Each buyer is interested in exactly one pair of items and purchases this pair if and only if, upon arrival, both items are still available…

Computer Science and Game Theory · Computer Science 2023-02-24 Christoph Dürr , Mathieu Mari , Ulrike Schmidt-Kraepelin

Peer-to-peer(P2P) energy trading may increase efficiency and reduce costs, but introduces significant challenges for network operators such as maintaining grid reliability, accounting for network losses, and redistributing costs equitably.…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Varsha N. Behrunani , Philipp Heer , Roy S. Smith , John Lygeros

The notion of approachability was introduced by Blackwell [1] in the context of vector-valued repeated games. The famous Blackwell's approachability theorem prescribes a strategy for approachability, i.e., for `steering' the average cost of…

Machine Learning · Computer Science 2016-06-22 Dileep Kalathil , Vivek Borkar , Rahul Jain

Stackelberg planning is a recently introduced single-turn two-player adversarial planning model, where two players are acting in a joint classical planning task, the objective of the first player being hampering the second player from…

Artificial Intelligence · Computer Science 2024-03-27 Gregor Behnke , Marcel Steinmetz

We study a two-player Stackelberg game with incomplete information such that the follower's strategy belongs to a known family of parameterized functions with an unknown parameter vector. We design an adaptive learning approach to…

Computer Science and Game Theory · Computer Science 2021-01-12 Guosong Yang , Radha Poovendran , João P. Hespanha

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

The Graph Pricing problem is among the fundamental problems whose approximability is not well-understood. While there is a simple combinatorial 1/4-approximation algorithm, the best hardness result remains at 1/2 assuming the Unique Games…

Data Structures and Algorithms · Computer Science 2014-11-06 Euiwoong Lee

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

In this paper, we study the notion of adversarial Stackelberg value for two-player non-zero sum games played on bi-weighted graphs with the mean-payoff and the discounted sum functions. The adversarial Stackelberg value of Player 0 is the…

Computer Science and Game Theory · Computer Science 2020-05-05 Emmanuel Filiot , Raffaella Gentilini , Jean-François Raskin

We consider the problem of efficiently learning to play single-leader multi-follower Stackelberg games when the leader lacks knowledge of the lower-level game. Such games arise in hierarchical decision-making problems involving…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Anna Maddux , Marko Maljkovic , Nikolas Geroliminis , Maryam Kamgarpour

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 $1-N$ generalized Stackelberg game (single-leader multi-follower game) is intricately intertwined with the interaction between a leader and followers (hierarchical interaction) and the interaction among followers (simultaneous…

Computer Science and Game Theory · Computer Science 2023-06-12 Jaeyeon Jo , Jihwan Yu , Jinkyoo Park

Two-player mean-payoff Stackelberg games are nonzero-sum infinite duration games played on a bi-weighted graph by Leader (Player 0) and Follower (Player 1). Such games are played sequentially: first, Leader announces her strategy, second,…

Optimization and Control · Mathematics 2021-08-04 Mrudula Balachander , Shibashis Guha , Jean-François Raskin

This paper studies the dynamic pricing mechanism for data products in demand-driven markets through a game-theoretic framework. We develop a three-tier Stackelberg game model to capture the hierarchical strategic interactions among key…

Optimization and Control · Mathematics 2025-12-29 Lijun Bo , Dongfang Yang , Shihua Wang