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There are many situations in which mis-coordinated strategic voting can leave strategic voters worse off than they would have been had they not tried to strategize. We analyse the simplest of such scenarios, in which the set of strategic…

Computer Science and Game Theory · Computer Science 2013-01-09 Arkadii Slinko , Shaun White

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

Optimization and Control · Mathematics 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

The sequential equilibrium is a standard solution concept for extensive-form games with imperfect information that includes an explicit representation of the players' beliefs. An assessment consisting of a strategy and a belief is a…

Computer Science and Game Theory · Computer Science 2024-02-08 Moritz Graf , Thorsten Engesser , Bernhard Nebel

In this paper, we present exploitability descent, a new algorithm to compute approximate equilibria in two-player zero-sum extensive-form games with imperfect information, by direct policy optimization against worst-case opponents. We prove…

Artificial Intelligence · Computer Science 2020-06-15 Edward Lockhart , Marc Lanctot , Julien Pérolat , Jean-Baptiste Lespiau , Dustin Morrill , Finbarr Timbers , Karl Tuyls

Successive elimination of candidates is often a route to making manipulation intractable to compute. We prove that eliminating candidates does not necessarily increase the computational complexity of manipulation. However, for many voting…

Artificial Intelligence · Computer Science 2012-04-19 Jessica Davies , Nina Narodytska , Toby Walsh

Most social choice rules assume access to full rankings, while current alignment practice -- despite aiming for diversity -- typically treats voters as anonymous and comparisons as independent, effectively extracting only about one bit per…

Computer Science and Game Theory · Computer Science 2026-03-23 Luise Ge , Daniel Halpern , Gregory Kehne , Yevgeniy Vorobeychik

Sequential sampling occurs when the entire population is not known in advance and data are obtained one at a time or in groups of units. This manuscript proposes a new algorithm to sequentially select a balanced sample. The algorithm…

Methodology · Statistics 2023-01-04 Raphaël Jauslin , Bardia Panahbehagh , Yves Tillé

We are interested in mechanisms that maximize social welfare. In [1] this problem was studied for multi-unit auctions with unit demand bidders and for the public project problem, and in each case social welfare undominated mechanisms in the…

Computer Science and Game Theory · Computer Science 2008-10-20 Krzysztof R. Apt , Vangelis Markakis

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-09-25 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

We introduce quantitative reductions, a novel technique for structuring the space of quantitative games and solving them that does not rely on a reduction to qualitative games. We show that such reductions exhibit the same desirable…

Computer Science and Game Theory · Computer Science 2018-09-12 Alexander Weinert

We define solution concepts appropriate for computationally bounded players playing a fixed finite game. To do so, we need to define what it means for a \emph{computational game}, which is a sequence of games that get larger in some…

Computer Science and Game Theory · Computer Science 2015-06-10 Joseph Y. Halpern , Rafael Pass , Lior Seeman

We study selection acting on phenotype in a collection of agents playing local games lacking Nash equilibria. After each cycle one of the agents losing most games is replaced by a new agent with new random strategy and game partner. The…

Statistical Mechanics · Physics 2007-05-23 Daniel Eriksson , Henrik Jeldtoft Jensen

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

Voting mechanisms are widely accepted and used methods for decentralized decision-making. Ensuring the acceptance of the voting mechanism's outcome is a crucial characteristic of robust voting systems. Consider this scenario: A group of…

Theoretical Economics · Economics 2024-07-03 Jeremias Lenzi

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

Computer Science and Game Theory · Computer Science 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

Security properties are often focused on the technological side of the system. One implicitly assumes that the users will behave in the right way to preserve the property at hand. In real life, this cannot be taken for granted. In…

Multiagent Systems · Computer Science 2023-10-19 Wojciech Jamroga , Damian Kurpiewski , Vadim Malvone

We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their interaction energy. Long-run behavior of stochastic dynamics of spatial games with multiple…

Statistical Mechanics · Physics 2009-11-10 Jacek Miekisz

We investigate the computation of equilibria in extensive-form games where ex ante correlation is possible, focusing on correlated equilibria requiring the least amount of communication between the players and the mediator. Motivated by the…

Computer Science and Game Theory · Computer Science 2019-01-21 Andrea Celli , Stefano Coniglio , Nicola Gatti

We consider a scheduling game on parallel related machines, in which jobs try to minimize their completion time by choosing a machine to be processed on. Each machine uses an individual priority list to decide on the order according to…

Computer Science and Game Theory · Computer Science 2023-11-28 Vipin Ravindran Vijayalakshmi , Marc Schröder , Tami Tamir

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

Artificial Intelligence · Computer Science 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia
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