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We study the equilibrium computation problem for two classical resource allocation games: atomic splittable congestion games and multimarket Cournot oligopolies. For atomic splittable congestion games with singleton strategies and…

Computer Science and Game Theory · Computer Science 2022-05-10 Veerle Tan-Timmermans , Tobias Harks

We provide, to the best of our knowledge, the first computational study of extensive-form adversarial team games. These games are sequential, zero-sum games in which a team of players, sharing the same utility function, faces an adversary.…

Artificial Intelligence · Computer Science 2017-11-21 Andrea Celli , Nicola Gatti

The computation of a solution concept of a cooperative game usually depends on values of all coalitions. However, in some applications, values of some of the coalitions might be unknown due to various reasons. We introduce a method to…

Computer Science and Game Theory · Computer Science 2022-12-12 Martin Černý

Bayesian methods are useful for statistical inference. However, real-world problems can be challenging using Bayesian methods when the data analyst has only limited prior knowledge. In this paper we consider a class of problems, called…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Lingsong Zhang , Chuanhai Liu

We study function-valued solutions of a class of stochastic partial differential equations, involving operators with polynomially bounded coefficients. We consider semilinear equations under suitable parabolicity hypotheses. We provide…

Probability · Mathematics 2022-06-16 Alessia Ascanelli , Sandro Coriasco , André Suß

The Possible-Winner problem asks, given an election where the voters' preferences over the set of candidates is partially specified, whether a distinguished candidate can become a winner. In this work, we consider the computational…

Computer Science and Game Theory · Computer Science 2018-02-27 Batya Kenig

In this paper we first define a new kind of potential games, called coset weighted potential game, which is a generalized form of weighted potential game. Using semi-tensor product of matrices, an algebraic method is provided to verify…

Optimization and Control · Mathematics 2019-03-01 Yuanhua Wang , Daizhan Cheng

Matching games naturally generalize assignment games, a well-known class of cooperative games. Interest in matching games has grown recently due to some breakthrough results and new applications. This state-of-the-art survey provides an…

Computer Science and Game Theory · Computer Science 2023-06-22 Márton Benedek , Péter Biró , Matthew Johnson , Daniël Paulusma , Xin Ye

A general procedure for constructing conservative numerical integrators for time dependent partial differential equations is presented. In particular, linearly implicit methods preserving a time discretised version of the invariant is…

Numerical Analysis · Mathematics 2011-05-05 Morten Dahlby , Brynjulf Owren

This paper studies a large class of two-player perfect-information turn-based parity games on infinite graphs, namely those generated by collapsible pushdown automata. The main motivation for studying these games comes from the connections…

Formal Languages and Automata Theory · Computer Science 2020-10-14 Christopher H. Broadbent , Arnaud Carayol , Matthew Hague , Andrzej S. Murawski , C. -H. Luke Ong , Olivier Serre

We consider an extension of a noncooperative game problem where players have joint binding constraints. In this case, justification of a generalized equilibrium point needs a reasonable mechanism for attaining this state. We suggest to…

Optimization and Control · Mathematics 2020-03-24 I. V. Konnov

The solution to a Nash or a nonsymmetric bargaining game is obtained by maximizing a concave function over a convex set, i.e., it is the solution to a convex program. We show that each 2-player game whose convex program has linear…

Computer Science and Game Theory · Computer Science 2015-05-13 Vijay V. Vazirani

Classical objectives in two-player zero-sum games played on graphs often deal with limit behaviors of infinite plays: e.g., mean-payoff and total-payoff in the quantitative setting, or parity in the qualitative one (a canonical way to…

Logic in Computer Science · Computer Science 2016-09-15 Véronique Bruyère , Quentin Hautem , Mickael Randour

Parys has recently proposed a quasi-polynomial version of Zielonka's recursive algorithm for solving parity games. In this brief note we suggest a variation of his algorithm that improves the complexity to meet the state-of-the-art…

Computer Science and Game Theory · Computer Science 2019-06-06 Karoliina Lehtinen , Sven Schewe , Dominik Wojtczak

Recently, there has been a lot of interest in using neural networks for solving partial differential equations. A number of neural network-based partial differential equation solvers have been formulated which provide performances…

Machine Learning · Computer Science 2020-04-21 Shehryar Malik , Usman Anwar , Ali Ahmed , Alireza Aghasi

Partially ordered models of time occur naturally in applications where agents or processes cannot perfectly communicate with each other, and can be traced back to the seminal work of Lamport. In this paper we consider the problem of…

Computational Complexity · Computer Science 2023-05-26 Leif Eriksson , Victor Lagerkvist

This paper introduces a problem in which the state of a system needs to be determined through costly tests of its components by a limited number of testing units and before a given deadline. We also consider a closely related search problem…

Discrete Mathematics · Computer Science 2021-01-15 Alessandro Agnetis , Ben Hermans , Roel Leus , Salim Rostami

Formal verification methods for concurrent systems cannot always be scaled-down or tailored in order to be applied on specific subsystems. We address such an issue in a MultiParty Session Types setting by devising a partial type assignment…

Logic in Computer Science · Computer Science 2024-10-02 Franco Barbanera , Mariangiola Dezani-Ciancaglini , Ugo de'Liguoro

We encode arbitrary finite impartial combinatorial games in terms of lattice points in rational convex polyhedra. Encodings provided by these \emph{lattice games} can be made particularly efficient for octal games, which we generalize to…

Combinatorics · Mathematics 2009-08-25 Alan Guo , Ezra Miller

The work we present in this paper initiated the formal study of fractional hedonic games, coalition formation games in which the utility of a player is the average value he ascribes to the members of his coalition. Among other settings,…

Computer Science and Game Theory · Computer Science 2017-05-30 Haris Aziz , Florian Brandl , Felix Brandt , Paul Harrenstein , Martin Olsen , Dominik Peters
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