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We study the complexity of computing equilibria in binary public goods games on undirected graphs. In such a game, players correspond to vertices in a graph and face a binary choice of performing an action, or not. Each player's decision…

计算机科学与博弈论 · 计算机科学 2023-05-22 Max Klimm , Maximilian J. Stahlberg

The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where…

计算机科学与博弈论 · 计算机科学 2018-08-28 Wei-Chun Lee , Vasilis Livanos , Ruta Mehta , Hari Sundaram

The online semi-random graph process is a one-player game which starts with the empty graph on $n$ vertices. At every round, a player (called Builder) is presented with a vertex $v$ chosen uniformly at random and independently from previous…

组合数学 · 数学 2023-07-18 Sofiya Burova , Lyuben Lichev

Temporal graphs are a popular modelling mechanism for dynamic complex systems that extend ordinary graphs with discrete time. Simply put, time progresses one unit per step and the availability of edges can change with time. We consider the…

计算机科学中的逻辑 · 计算机科学 2024-01-30 Pete Austin , Sougata Bose , Patrick Totzke

We study strategic games on weighted directed graphs, in which the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy, augmented by a fixed non-negative integer bonus for picking a…

计算机科学与博弈论 · 计算机科学 2021-03-15 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

Network structure is a mechanism for promoting cooperation in social dilemma games. In the present study, we explore graph surgery, i.e., to slightly perturb the given network, towards a network that better fosters cooperation. To this end,…

物理与社会 · 物理学 2023-06-26 Lingqi Meng , Naoki Masuda

We study routing games where every agent sequentially decides her next edge when she obtains the green light at each vertex. Because every edge only has capacity to let out one agent per round, an edge acts as a FIFO waiting queue that…

计算机科学与博弈论 · 计算机科学 2018-10-29 Anisse Ismaili

In congestion games, selfish users behave myopically to crowd to the shortest paths, and the social planner designs mechanisms to regulate such selfish routing through information or payment incentives. However, such mechanism design…

计算机科学与博弈论 · 计算机科学 2025-01-15 Hongbo Li , Lingjie Duan

We study selfish routing games where users can choose between regular and priority service for each network edge on their chosen path. Priority users pay an additional fee, but in turn they may travel the edge prior to non-priority users,…

计算机科学与博弈论 · 计算机科学 2026-02-09 Yang Li , Alexander Skopalik , Marc Uetz

Graph burning is a discrete-time process that models the spread of influence in a network. Vertices are either burning or unburned, and in each round, a burning vertex causes all of its neighbours to become burning before a new fire source…

组合数学 · 数学 2024-09-24 Karen Gunderson , William Kellough , JD Nir , Hritik Punj

Consider the following probabilistic one-player game: The board is a graph with $n$ vertices, which initially contains no edges. In each step, a new edge is drawn uniformly at random from all non-edges and is presented to the player,…

组合数学 · 数学 2009-11-20 Michael Belfrage , Torsten Mütze , Reto Spöhel

We experimentally study effort provision and network formation in the linear-quadratic game characterized by positive externality and complementarity of effort choices among network neighbors. We compare experimental outcomes to the…

综合经济学 · 经济学 2024-03-12 Gergely Horvath

We investigate a process of joining $k$ random spanning trees on a fixed clique $K_n$. The joined trees may not be disjoint and multiple edges are replaced by one simple edge. This process produces a simple graph $G$ on $n$~vertices with an…

离散数学 · 计算机科学 2025-11-25 Blazej Wrobel , Dominik Bojko

In a two-player game, two cooperating but non communicating players, Alice and Bob, receive inputs taken from a probability distribution. Each of them produces an output and they win the game if they satisfy some predicate on their…

量子物理 · 物理学 2014-10-03 André Chailloux , Giannicola Scarpa

Today we rely on networks that are created and maintained by smart devices. For such networks, there is no governing central authority but instead the network structure is shaped by the decisions of selfish intelligent agents. A key…

计算机科学与博弈论 · 计算机科学 2025-01-20 Julian Berger , Tobias Friedrich , Pascal Lenzner , Paraskevi Machaira , Janosch Ruff

In this study, we formulate positive and negative externalities caused by changes in the supply of shared vehicles as ride sharing games. The study aims to understand the price of anarchy (PoA) and its improvement via a coordination…

计算机科学与博弈论 · 计算机科学 2016-04-05 Tatsuya Iwase , Takahiro Shiga

Schelling games model the wide-spread phenomenon of residential segregation in metropolitan areas from a game-theoretic point of view. In these games agents of different types each strategically select a node on a given graph that models…

计算机科学与博弈论 · 计算机科学 2023-02-24 Tobias Friedrich , Pascal Lenzner , Louise Molitor , Lars Seifert

We introduce a game inspired by the challenges of disease management in livestock farming and the transmission of endemic disease through a trade network. Success in this game comes from balancing the cost of buying new stock with the risk…

物理与社会 · 物理学 2021-04-28 Ewan Colman , Nicholas Hanley , Rowland R. Kao

The semi-random graph process is a single player game in which the player is initially presented an empty graph on $n$ vertices. In each round, a vertex $u$ is presented to the player independently and uniformly at random. The player then…

组合数学 · 数学 2022-09-07 Pu Gao , Calum MacRury , Pawel Pralat

We introduce a new abstract graph game, Swap Planarity, where the goal is to reach a state without edge intersections and a move consists of swapping the locations of two vertices connected by an edge. We analyze this puzzle game using…

计算几何 · 计算机科学 2019-08-06 Rutger Kraaijer , Marc van Kreveld , Wouter Meulemans , André van Renssen