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Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance rate small. While empathy and spatiality may lead to the…

Physics and Society · Physics 2012-08-20 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. Our main result, the interreducibility of the existence of sure winning strategies for the protagonist,…

Computer Science and Game Theory · Computer Science 2023-10-03 Martin Fränzle , Sarah Winter , Martin Zimmermann

Prioritized experience replay is a reinforcement learning technique whereby agents speed up learning by replaying useful past experiences. This usefulness is quantified as the expected gain from replaying the experience, a quantity often…

Machine Learning · Computer Science 2022-02-18 Yizhi Yuan , Marcelo G Mattar

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

Populations and Evolution · Quantitative Biology 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

This paper introduces alignment games, a new class of zero-sum games modeling strategic interventions where effectiveness depends on alignment with an underlying hidden state. Motivated by operational problems in medical diagnostics,…

Optimization and Control · Mathematics 2025-09-08 Pedro Cesar Lopes Gerum , Thomas Lidbetter

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 2012-07-03 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

This paper revisits timed games by building upon the semantics introduced in "The Element of Surprise in Timed Games". We introduce some modifications to this semantics for two primary reasons: firstly, we recognize instances where the…

Logic in Computer Science · Computer Science 2025-10-10 Gilles Geeraerts , Frédéric Herbreteau , Jean-François Raskin , Alexis Reynouard

Strategic decision-making in uncertain and adversarial environments is crucial for the security of modern systems and infrastructures. A salient feature of many optimal decision-making policies is a level of unpredictability, or randomness,…

Computer Science and Game Theory · Computer Science 2024-05-03 Keith Paarporn , Rahul Chandan , Dan Kovenock , Mahnoosh Alizadeh , Jason R. Marden

Game-theoretic solution concepts, such as the Nash equilibrium, have been key to finding stable joint actions in multi-player games. However, it has been shown that the dynamics of agents' interactions, even in simple two-player games with…

Multiagent Systems · Computer Science 2025-05-20 Natalia Koliou , George Vouros

Originating in evolutionary game theory, the class of "zero-determinant" strategies enables a player to unilaterally enforce linear payoff relationships in simple repeated games. An upshot of this kind of payoff constraint is that it can…

Theoretical Economics · Economics 2025-11-26 Nikos Dimou , Alex McAvoy

Inspired by Martin Fr\"anzle's persistent and influential work on capturing and handling delay inherent to cyber-physical systems in the formal verification of such systems, we study timed games where controllable actions do not take effect…

Formal Languages and Automata Theory · Computer Science 2025-02-27 Kim G. Larsen , Martin Zimmermann

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

Real-world processes often exhibit temporal separation between actions and reactions - a characteristic frequently ignored in many modelling frameworks. Adding temporal aspects, like time delays, introduces a higher complexity of problems…

Populations and Evolution · Quantitative Biology 2025-02-04 Małgorzata Fic , Frank Bastian , Jacek Miękisz , Chaitanya S. Gokhale

We consider graph games of infinite duration with winning conditions in parameterized linear temporal logic, where the temporal operators are equipped with variables for time bounds. In model checking such specifications were introduced as…

Computer Science and Game Theory · Computer Science 2011-06-08 Martin Zimmermann

Solving parity games, which are equivalent to modal $\mu$-calculus model checking, is a central algorithmic problem in formal methods. Besides the standard computation model with the explicit representation of games, another important…

Computer Science and Game Theory · Computer Science 2019-09-12 Krishnendu Chatterjee , Wolfgang Dvořák , Monika Henzinger , Alexander Svozil

We study a modified prisoner's dilemma game taking place on two-dimensional disordered square lattices. The players are pure strategists and can either cooperate or defect with their immediate neighbors. In the generations each player…

Physics and Society · Physics 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Zi-Gang Huang , Sheng-Jun Wang , Ying-Hai Wang

Spatial evolutionary games are studied with myopic players whose payoff interest, as a personal character, is tuned from selfishness to other-regarding preference via fraternity. The players are located on a square lattice and collect…

Physics and Society · Physics 2012-03-07 Gyorgy Szabo , Attila Szolnoki

We consider games played on graphs with the winning conditions for the players specified as weak-parity conditions. In weak-parity conditions the winner of a play is decided by looking into the set of states appearing in the play, rather…

Logic in Computer Science · Computer Science 2008-12-18 Krishnendu Chatterjee

We consider infinite duration alternating move games. These games were previously studied by Roth, Balcan, Kalai and Mansour. They presented an FPTAS for computing an approximated equilibrium, and conjectured that there is a polynomial…

Computer Science and Game Theory · Computer Science 2013-04-25 Yaron Velner

Domineering is a two player game played on a checkerboard in which one player places dominoes vertically and the other places them horizontally. We give bivariate generating polynomials enumerating Domineering positions by the number of…

Combinatorics · Mathematics 2020-04-01 Svenja Huntemann , Neil A. McKay