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Suppose we are given a bipartite graph that admits a perfect matching and an adversary may delete any edge from the graph with the intention of destroying all perfect matchings. We consider the task of adding a minimum cost edge-set to the…

Data Structures and Algorithms · Computer Science 2018-12-06 Felix Hommelsheim , Moritz Mühlenthaler , Oliver Schaudt

In online betting, the bookmaker can update the payoffs it offers on a particular event many times before the event takes place, and the updated payoffs may depend on the bets accumulated thus far. We study the problem of bookmaking with…

Computer Science and Game Theory · Computer Science 2025-01-14 Alankrita Bhatt , Or Ordentlich , Oron Sabag

We introduce a model involving two adversaries Buster and Fixer taking turns modifying a connected graph, where each round consists of Buster deleting a subset of edges and Fixer responding by adding edges from a finite reserve set of…

Combinatorics · Mathematics 2026-03-31 Daniel C. McDonald

We study the two-player safe game of Competitive Diffusion, a game-theoretic model for the diffusion of technologies or influence through a social network. In game theory, safe strategies are mixed strategies with a minimal expected gain…

Discrete Mathematics · Computer Science 2015-07-10 Jeannette Janssen , Celeste Vautour

This paper considers max-min fair rate allocation and routing in energy harvesting networks where fairness is required among both the nodes and the time slots. Unlike most previous work on fairness, we focus on multihop topologies and…

Networking and Internet Architecture · Computer Science 2016-06-10 Jelena Marasevic , Cliff Stein , Gil Zussman

There is a rich recent literature on how to assist secure communication between a single transmitter and receiver at the physical layer of wireless networks through techniques such as cooperative jamming. In this paper, we consider how…

Networking and Internet Architecture · Computer Science 2013-04-10 Majid Ghaderi , Dennis Goeckel , Ariel Orda , Mostafa Dehghan

This article considers a two-player strategic game for network routing under link disruptions. Player 1 (defender) routes flow through a network to maximize her value of effective flow while facing transportation costs. Player 2 (attacker)…

Computer Science and Game Theory · Computer Science 2019-01-23 Mathieu Dahan , Saurabh Amin

Inspired by real world examples, e.g. the Internet, researchers have introduced an abundance of strategic games to study natural phenomena in networks. Unfortunately, almost all of these games have the conceptual drawback of being…

Computer Science and Game Theory · Computer Science 2017-05-23 Tobias Friedrich , Sven Ihde , Christoph Keßler , Pascal Lenzner , Stefan Neubert , David Schumann

This paper aims to solve the optimal strategy against a well-known adaptive algorithm, the Hedge algorithm, in a finitely repeated $2\times 2$ zero-sum game. In the literature, related theoretical results are very rare. To this end, we make…

Optimization and Control · Mathematics 2023-12-18 Xinxiang Guo , Yifen Mu

We consider control of heterogeneous players repeatedly playing an anti-coordination network game. In an anti-coordination game, each player has an incentive to differentiate its action from its neighbors. At each round of play, players…

Systems and Control · Computer Science 2018-12-13 Ceyhun Eksin , Keith Paarporn

Various methods have been proposed in the literature to determine an optimal partitioning of the set of actors in a network into core and periphery subsets. However, these methods either work only for relatively small input sizes, or do not…

Physics and Society · Physics 2011-03-01 Sean Z. W. Lip

We revisit classic algorithmic search and optimization problems from the perspective of competition. Rather than a single optimizer minimizing expected cost, we consider a zero-sum game in which an optimization problem is presented to two…

Computer Science and Game Theory · Computer Science 2011-01-17 Nicole Immorlica , Adam Tauman Kalai , Brendan Lucier , Ankur Moitra , Andrew Postlewaite , Moshe Tennenholtz

Harry hides on an edge of a graph and does not move from there. Sally, starting from a known origin, tries to find him as soon as she can. Harry's goal is to be found as late as possible. At any given time, each edge of the graph is either…

Computer Science and Game Theory · Computer Science 2020-01-22 Tristan Garrec , Marco Scarsini

This paper introduces a novel concept from coalitional game theory which allows the dynamic formation of coalitions among wireless nodes. A simple and distributed merge and split algorithm for coalition formation is constructed. This…

Information Theory · Computer Science 2016-11-17 Walid Saad , Zhu Han , Merouane Debbah , Are Hjørungnes

Infrastructure networks are vulnerable to both cyber and physical attacks. Building a secure and resilient networked system is essential for providing reliable and dependable services. To this end, we establish a two-player three-stage game…

Systems and Control · Electrical Eng. & Systems 2019-06-19 Juntao Chen , Corinne Touati , Quanyan Zhu

Given a skew-symmetric matrix, the corresponding two-player symmetric zero-sum game is defined as follows: one player, the row player, chooses a row and the other player, the column player, chooses a column. The payoff of the row player is…

Computer Science and Game Theory · Computer Science 2017-07-11 Florian Brandl

In this paper, we analyse a misere tree searching game, where players take turns to guess vertices in a tree with a secret `poisoned' vertex. After each turn, the guessed vertex is removed from the tree and the game continues on the…

Probability · Mathematics 2025-03-11 Ben Andrews

Interdiction problems are leader-follower games in which the leader is allowed to delete a certain number of edges from the graph in order to maximally impede the follower, who is trying to solve an optimization problem on the impeded…

Data Structures and Algorithms · Computer Science 2013-10-02 Feng Pan , Aaron Schild

We consider the wiretap channel, where the individual channel uses have memory or are influenced by an adversary. We analyze the explicit and computationally efficient construction of information-theoretically secure coding schemes which…

Cryptography and Security · Computer Science 2024-04-03 Esther Hänggi , Iyán Méndez Veiga , Ligong Wang

We study the classic divide-and-choose method for equitably allocating divisible goods between two players who are rational, self-interested Bayesian agents. The players have additive values for the goods. The prior distributions on those…

Computer Science and Game Theory · Computer Science 2024-10-22 Jamie Tucker-Foltz , Richard Zeckhauser