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We study competitive resource allocation problems in which players distribute their demands integrally on a set of resources subject to player-specific submodular capacity constraints. Each player has to pay for each unit of demand a cost…

Computer Science and Game Theory · Computer Science 2014-07-30 Tobias Harks , Max Klimm , Britta Peis

Congestion games are attractive because they can model many concrete situations where some competing entities interact through the use of some shared resources, and also because they always admit pure Nash equilibria which correspond to the…

Computer Science and Game Theory · Computer Science 2024-08-22 Vittorio Bilò , Angelo Fanelli , Laurent Gourvès , Christos Tsoufis , Cosimo Vinci

Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games…

Computer Science and Game Theory · Computer Science 2020-09-30 Nathalie Bertrand , Nicolas Markey , Suman Sadhukhan , Ocan Sankur

We study a non-cooperative two-sided facility location game in which facilities and clients behave strategically. This is in contrast to many other facility location games in which clients simply visit their closest facility. Facility…

Computer Science and Game Theory · Computer Science 2024-06-14 Simon Krogmann , Pascal Lenzner , Alexander Skopalik

When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated optimal allocation. While several contributions in mechanism…

Computer Science and Game Theory · Computer Science 2024-03-08 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

We study a game-theoretic variant of the maximum circulation problem. In a flow allocation game, we are given a directed flow network. Each node is a rational agent and can strategically allocate any incoming flow to the outgoing edges.…

Computer Science and Game Theory · Computer Science 2023-12-22 Nils Bertschinger , Martin Hoefer , Daniel Schmand

We study {\em bottleneck routing games} where the social cost is determined by the worst congestion on any edge in the network. In the literature, bottleneck games assume player utility costs determined by the worst congested edge in their…

Computer Science and Game Theory · Computer Science 2015-05-18 Rajgopal Kannan , Costas Busch

Congestion games offer a primary model in the study of pure Nash equilibria in non-cooperative games, and a number of generalized models have been proposed in the literature. One line of generalization includes weighted congestion games, in…

Computer Science and Game Theory · Computer Science 2024-01-09 Kenjiro Takazawa

We describe a new coordination mechanism for non-atomic congestion games that leads to a (selfish) social cost which is arbitrarily close to the non-selfish optimal. This mechanism does not incur any additional extra cost, like tolls, which…

Computer Science and Game Theory · Computer Science 2014-06-20 Josep Díaz , Ioannis Giotis , Lefteris Kirousis , Yiannis Mourtos , Maria J. Serna

We study a model of selfish resource allocation that seeks to incorporate dependencies among resources as they exist in modern networked environments. Our model is inspired by utility functions with constant elasticity of substitution (CES)…

Computer Science and Game Theory · Computer Science 2017-05-04 Matthias Feldotto , Lennart Leder , Alexander Skopalik

We study a static game played by a finite number of agents, in which agents are assigned independent and identically distributed random types and each agent minimizes its objective function by choosing from a set of admissible actions that…

Probability · Mathematics 2017-02-08 Daniel Lacker , Kavita Ramanan

In resource buying games a set of players jointly buys a subset of a finite resource set E (e.g., machines, edges, or nodes in a digraph). The cost of a resource e depends on the number (or load) of players using e, and has to be paid…

Computer Science and Game Theory · Computer Science 2012-04-19 Tobias Harks , Britta Peis

We consider the problem in which n items arrive to a market sequentially over time, where two agents compete to choose the best possible item. When an agent selects an item, he leaves the market and obtains a payoff given by the value of…

Computer Science and Game Theory · Computer Science 2022-04-12 Fabien Gensbittel , Dana Pizarro , Jérôme Renault

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

Theoretical Economics · Economics 2022-12-01 Ata Atay , Christian Trudeau

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

Computer Science and Game Theory · Computer Science 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

This paper considers a time-varying game with $N$ players. Every time slot, players observe their own random events and then take a control action. The events and control actions affect the individual utilities earned by each player. The…

Computer Science and Game Theory · Computer Science 2014-02-04 Michael J. Neely

The strategic selection of resources by selfish agents has long been a key area of research, with Resource Selection Games and Congestion Games serving as prominent examples. In these traditional frameworks, agents choose from a set of…

Computer Science and Game Theory · Computer Science 2025-05-13 Henri Zeiler

We consider a basic resource allocation game, where the players' strategy spaces are subsets of $R^m$ and cost/utility functions are parameterized by some common vector $u\in R^m$ and, otherwise, only depend on the own strategy choice. A…

Computer Science and Game Theory · Computer Science 2020-02-24 Tobias Harks

To what extent does the structure of the players' strategy space influence the efficiency of decentralized solutions in congestion games? In this work, we investigate whether better performance are possible when restricting to load…

Computer Science and Game Theory · Computer Science 2022-02-25 Vittorio Bilò , Cosimo Vinci

We consider clustering games in which the players are embedded in a network and want to coordinate (or anti-coordinate) their strategy with their neighbors. The goal of a player is to choose a strategy that maximizes her utility given the…

Computer Science and Game Theory · Computer Science 2020-11-20 Pieter Kleer , Guido Schäfer