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We relate here two formalisms that are used for different purposes in reasoning about multi-agent systems. One of them are strategic games that are used to capture the idea that agents interact with each other while pursuing their own…

Computer Science and Game Theory · Computer Science 2007-05-23 Krzysztof R. Apt , Francesca Rossi , K. Brent Venable

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

In this paper we consider continuity of the set of Nash equilibria and approximate Nash equilibria for parameterized games. For parameterized games with unique Nash equilibria, the continuity of this equilibrium mapping is well-known.…

Optimization and Control · Mathematics 2020-07-10 Zachary Feinstein

Among the strategic choices made by today's economic actors are choices about algorithms and computational resources. Different access to computational resources may result in a kind of economic asymmetry analogous to information asymmetry.…

Computer Science and Game Theory · Computer Science 2012-06-14 Sebastian Benthall , John Chuang

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

Computer Science and Game Theory · Computer Science 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu

This is a short introduction to the subject of strategic games. We focus on the concepts of best response, Nash equilibrium, strict and weak dominance, and mixed strategies, and study the relation between these concepts in the context of…

Computer Science and Game Theory · Computer Science 2011-02-02 Krzysztof R. Apt

Designing efficient algorithms to find Nash equilibrium (NE) refinements in sequential games is of paramount importance in practice. Indeed, it is well known that the NE has several weaknesses, since it may prescribe to play sub-optimal…

Computer Science and Game Theory · Computer Science 2022-08-18 Martino Bernasconi , Alberto Marchesi , Francesco Trovò

If the influence diagram (ID) depicting a Bayesian game is common knowledge to its players then additional assumptions may allow the players to make use of its embodied irrelevance statements. They can then use these to discover a simpler…

Computer Science and Game Theory · Computer Science 2017-04-10 Peter A. Thwaites , Jim Q. Smith

In this paper, we examine the long-run behavior of regularized, no-regret learning in finite games. A well-known result in the field states that the empirical frequencies of no-regret play converge to the game's set of coarse correlated…

Computer Science and Game Theory · Computer Science 2023-11-07 Victor Boone , Panayotis Mertikopoulos

We consider a game in which each player must find a compromise between more daring strategies that carry a high risk for him to be eliminated, and more cautious ones that, however, reduce his final score. For two symmetric players this game…

Optimization and Control · Mathematics 2019-05-24 H. J. Hilhorst , C. Appert-Rolland

Game theory is a very profound study on distributed decision-making behavior and has been extensively developed by many scholars. However, many existing works rely on certain strict assumptions such as knowing the opponent's private…

Computer Science and Game Theory · Computer Science 2020-04-21 Kuo Chun Tsai , Zhu Han

The study of learning in games typically assumes that each player always has access to all of their actions. However, in many practical scenarios, players' available actions might be restricted due to exogenous stochasticity. To model this…

Computer Science and Game Theory · Computer Science 2026-05-12 Thomas Schwarz , Ryann Sim , Chun Kai Ling

Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. The resulting equilibrium…

Optimization and Control · Mathematics 2014-08-27 Ankur A. Kulkarni , Uday V. Shanbhag

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

General Economics · Economics 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

In this paper we consider non zero-sum games where multiple players control the drift of a process, and their payoffs depend on its ergodic behaviour. We establish their connection with systems of Ergodic BSDEs, and prove the existence of a…

Probability · Mathematics 2017-06-16 Samuel N. Cohen , Victor Fedyashov

We study multi-strategies in multiplayer reachability games played on finite graphs. A multi-strategy prescribes a set of possible actions, instead of a single action as usual strategies: it represents a set of all strategies that are…

Computer Science and Game Theory · Computer Science 2024-11-21 Aline Goeminne , Benjamin Monmege

This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain parameters using continuous Bayesian updating. Theoretical…

Multiagent Systems · Computer Science 2025-09-16 Jiangjing Zhou , Ovanes Petrosian , Ye Zhang , Hongwei Gao

In this paper, Nash equilibrium seeking among a network of players is considered. Different from many existing works on Nash equilibrium seeking in non-cooperative games, the players considered in this paper cannot directly observe the…

Optimization and Control · Mathematics 2017-03-28 Maojiao Ye , Guoqiang Hu

Much work in AI deals with the selection of proper actions in a given (known or unknown) environment. However, the way to select a proper action when facing other agents is quite unclear. Most work in AI adopts classical game-theoretic…

Computer Science and Game Theory · Computer Science 2011-06-24 M. Tennenholtz

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

Optimization and Control · Mathematics 2012-06-11 Vikas Vikram Singh , N. Hemachandra
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