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When agents are acting together, they may need a simple mechanism to decide on joint actions. One possibility is to have the agents express their preferences in the form of a ballot and use a voting rule to decide the winning action(s).…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

This paper introduces a class of games, called unit-sphere games, where strategies are real vectors with unit 2-norms (or, on a unit-sphere). As a result, they can no longer be interpreted as probability distributions over actions, but…

Computer Science and Game Theory · Computer Science 2015-09-21 Pingzhong Tang , Hanrui Zhang

This note shows that under the unrestricted domain, there exists a choice liberal and Nash implementable social choice rule if and only if there are at least three players and the outcome set is at least twice as large as the player set. A…

Theoretical Economics · Economics 2025-08-26 Héctor Hermida-Rivera

In this work the properties of minority games containing agents which try to winning all the time are studied by means of computational simulations. We have considered several ways of introducing above the rules clever players using…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. R. L. de Almeida , J. Menche

We discuss and solve a model for a game with many players, where a subset of truely deciding players is embedded into a hierarchy of dependent agents. These interdependencies modify the game matrix and the Nash equilibria for the deciding…

Computer Science and Game Theory · Computer Science 2015-04-16 Elisabeth Kraus , Simon D. Lentner

We apply Game Theory to a mathematical representation of two competing teams of agents connected within a complex network, where the ability of each side to manoeuvre their resource and degrade that of the other depends on their ability to…

Physics and Society · Physics 2023-12-06 Andrew C. Cullen , Tansu Alpcan , Alexander C. Kalloniatis

Multiplayer games with selfish agents naturally occur in the design of distributed and embedded systems. As the goals of selfish agents are usually neither equivalent nor antagonistic to each other, such games are non zero-sum games. We…

Computer Science and Game Theory · Computer Science 2012-12-19 Thomas Brihaye , Julie De Pril , Sven Schewe

The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

Computer Science and Game Theory · Computer Science 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

Agents vote to choose a fair mixture of public outcomes; each agent likes or dislikes each outcome. We discuss three outstanding voting rules. The Conditional Utilitarian rule, a variant of the random dictator, is Strategyproof and…

Computer Science and Game Theory · Computer Science 2017-12-08 Haris Aziz , Anna Bogomolnaia , Herve Moulin

We study a budget aggregation setting where voters express their preferred allocation of a fixed budget over a set of alternatives, and a mechanism aggregates these preferences into a single output allocation. Motivated by scenarios in…

Computer Science and Game Theory · Computer Science 2025-05-12 Ulrike Schmidt-Kraepelin , Warut Suksompong , Markus Utke

We propose a framework for strategic voting when a voter may lack knowledge about the preferences of other voters, or about other voters' knowledge about her own preference. In this setting we define notions of manipulation, equilibrium,…

Computer Science and Game Theory · Computer Science 2021-11-30 Zeinab Bakhtiari , Hans van Ditmarsch , Abdallah Saffidine

It is well known that no reasonable voting rule is strategyproof. Moreover, the common Plurality rule is particularly prone to strategic behavior of the voters and empirical studies show that people often vote strategically in practice.…

Computer Science and Game Theory · Computer Science 2014-04-22 Reshef Meir , Omer Lev , Jeffrey S. Rosenschein

We consider elections where both voters and candidates can be associated with points in a metric space and voters prefer candidates that are closer to those that are farther away. It is often assumed that the optimal candidate is the one…

Computer Science and Game Theory · Computer Science 2019-01-23 Grzegorz Pierczyński , Piotr Skowron

We study adaptive dynamics in games where players abandon the population at a given rate, and are replaced by naive players characterized by a prior distribution over the admitted strategies. We demonstrate how such process leads…

Computer Science and Game Theory · Computer Science 2013-08-13 Jeppe Juul , Ardeshir Kianercy , Sebastian Bernhardsson , Simone Pigolotti

We propose models for lobbying in a probabilistic environment, in which an actor (called "The Lobby") seeks to influence voters' preferences of voting for or against multiple issues when the voters' preferences are represented in terms of…

Computational Complexity · Computer Science 2011-03-01 Daniel Binkele-Raible , Gábor Erdélyi , Henning Fernau , Judy Goldsmith , Nicholas Mattei , Jörg Rothe

In the celebrated stable-matching problem, there are two sets of agents M and W, and the members of M only have preferences over the members of W and vice versa. It is usually assumed that each member of M and W is a single entity. However,…

Computer Science and Game Theory · Computer Science 2024-08-21 Leora Schmerler , Noam Hazon , Sarit Kraus

Constructive election control considers the problem of an adversary who seeks to sway the outcome of an electoral process in order to ensure that their favored candidate wins. We consider the computational problem of constructive election…

Computer Science and Game Theory · Computer Science 2019-12-02 Jasper Lu , David Kai Zhang , Zinovi Rabinovich , Svetlana Obraztsova , Yevgeniy Vorobeychik

There are only limited classes of multi-player stochastic games in which independent learning is guaranteed to converge to a Nash equilibrium. Markov potential games are a key example of such classes. Prior work has outlined sets of…

Computer Science and Game Theory · Computer Science 2024-05-15 Fatemeh Fardno , Seyed Majid Zahedi

We consider two-player combinatorial games in which the graph of positions is random and perhaps infinite, focusing on directed Galton-Watson trees. As the offspring distribution is varied, a game can undergo a phase transition, in which…

Probability · Mathematics 2019-04-09 Alexander E. Holroyd , James B. Martin

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2014-12-10 Joseph Y. Halpern , Rafael Pass