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We propose a test of fairness in score-based ranking systems called matched pair calibration. Our approach constructs a set of matched item pairs with minimal confounding differences between subgroups before computing an appropriate measure…

Computational advertising has been studied to design efficient marketing strategies that maximize the number of acquired customers. In an increased competitive market, however, a market leader (a leader) requires the acquisition of new…

Computer Science and Game Theory · Computer Science 2019-06-18 Daisuke Hatano , Yuko Kuroki , Yasushi Kawase , Hanna Sumita , Naonori Kakimura , Ken-ichi Kawarabayashi

We consider two-player partial-observation stochastic games on finite-state graphs where player 1 has partial observation and player 2 has perfect observation. The winning condition we study are \omega-regular conditions specified as parity…

Logic in Computer Science · Computer Science 2014-01-15 Krishnendu Chatterjee , Laurent Doyen , Sumit Nain , Moshe Y. Vardi

Poset games are a class of combinatorial game that remain unsolved. Soltys and Wilson proved that computing wining strategies is in \textbf{PSPACE} and aside from special cases such as Nim and N-Free games, \textbf{P} time algorithms for…

Combinatorics · Mathematics 2021-01-26 Alexander Clow , Stephen Finbow

We study payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

Computer Science and Game Theory · Computer Science 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

We present a new framework for the solution of mathematical programs with equilibrium constraints (MPECs). In this algorithmic framework, an MPECs is viewed as a concentration of an unconstrained optimization which minimizes the…

Optimization and Control · Mathematics 2023-01-18 Songqiang Qiu , Zhongwen Chen

In a two-player zero-sum graph game, the players move a token throughout a graph to produce an infinite play, which determines the winner of the game. Bidding games are graph games in which in each turn, an auction (bidding) determines…

Formal Languages and Automata Theory · Computer Science 2025-07-02 Guy Avni , Suman Sadhukhan

There is a wide range of modal logics whose semantics goes beyond relational structures, and instead involves, e.g., probabilities, multi-player games, weights, or neighbourhood structures. Coalgebraic logic serves as a unifying semantic…

Logic in Computer Science · Computer Science 2023-06-16 Oliver Görlitz , Daniel Hausmann , Merlin Humml , Dirk Pattinson , Simon Prucker , Lutz Schröder

We consider both finite-state game graphs and recursive game graphs (or pushdown game graphs), that can model the control flow of sequential programs with recursion, with multi-dimensional mean-payoff objectives. In pushdown games two types…

Computer Science and Game Theory · Computer Science 2013-08-09 Krishnendu Chatterjee , Yaron Velner

We revisit classic algorithmic search and optimization problems from the perspective of competition. Rather than a single optimizer minimizing expected cost, we consider a zero-sum game in which an optimization problem is presented to two…

Computer Science and Game Theory · Computer Science 2011-01-17 Nicole Immorlica , Adam Tauman Kalai , Brendan Lucier , Ankur Moitra , Andrew Postlewaite , Moshe Tennenholtz

We present an algorithm for computing pure-strategy epsilon-perfect Bayesian equilibria in sequential auctions with continuous action and value spaces. Importantly, our algorithm includes a verification phase that computes an upper bound on…

Computer Science and Game Theory · Computer Science 2025-02-19 Vinzenz Thoma , Vitor Bosshard , Sven Seuken

The complexity of parity games is a long standing open problem that saw a major breakthrough in 2017 when two quasi-polynomial algorithms were published. This article presents a third, independent approach to solving parity games in…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Karoliina Lehtinen , Udi Boker

We consider concurrent stochastic games played on graphs with reachability and safety objectives. These games can be solved by value iteration as well as strategy iteration, each of them yielding a sequence of under-approximations of the…

Computer Science and Game Theory · Computer Science 2019-09-19 Julia Eisentraut , Jan Křetínský , Alexej Rotar

Matching games is a one-to-one two sided market model introduced by Garrido-Lucero and Laraki, in which coupled agents' utilities are endogenously determined as the outcome of a strategic game. They refine the classical pairwise stability…

Computer Science and Game Theory · Computer Science 2025-07-22 Felipe Garrido-Lucero , Rida Laraki

Fixpoints are ubiquitous in computer science and when dealing with quantitative semantics and verification one often considers least fixpoints of (higher-dimensional) functions over the non-negative reals. We show how to approximate the…

Logic in Computer Science · Computer Science 2025-06-16 Paolo Baldan , Sebastian Gurke , Barbara König , Tommaso Padoan , Florian Wittbold

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on {\it lossy channel systems}, under the constraint that both players are restricted to finite-memory strategies. First, we describe a general…

Logic in Computer Science · Computer Science 2019-03-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

We study agents competing against each other in a repeated network zero-sum game while applying the multiplicative weights update (MWU) algorithm with fixed learning rates. In our implementation, agents select their strategies…

Computer Science and Game Theory · Computer Science 2021-10-06 James P. Bailey , Sai Ganesh Nagarajan , Georgios Piliouras

Quantum games have gained much popularity in the last two decades. Many of these quantum games are a redefinition of iconic classical games to fit the quantum world, and they gain many different properties and solutions in this different…

We develop an approach of variational analysis and generalized differentiation to conditioning issues for two-person zero-sum matrix games. Our major results establish precise relationships between a certain condition measure of the…

Optimization and Control · Mathematics 2010-11-19 Boris Mordukhovich , Javier Peña , Vera Roshchina

We develop primal-dual coordinate methods for solving bilinear saddle-point problems of the form $\min_{x \in \mathcal{X}} \max_{y\in\mathcal{Y}} y^\top A x$ which contain linear programming, classification, and regression as special cases.…

Data Structures and Algorithms · Computer Science 2020-09-18 Yair Carmon , Yujia Jin , Aaron Sidford , Kevin Tian