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We introduce a simple extensive-form algorithm for finding equilibria of two-player, zero-sum games. The algorithm is realization equivalent to a generalized form of Fictitious Play. We compare its performance to that of a similar…

Computer Science and Game Theory · Computer Science 2023-10-17 Tim P. Schulze

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

Evolutionary $2 \times 2$ games are studied with players located on a square lattice. During the evolution the randomly chosen neighboring players try to maximize their collective income by adopting a random strategy pair with a probability…

Populations and Evolution · Quantitative Biology 2010-08-23 Gyorgy Szabo , Attila Szolnoki , Melinda Varga , Livia Hanusovszky

We explore a mechanism of decision-making in Mean Field Games with myopic players. At each instant, agents set a strategy which optimizes their expected future cost by assuming their environment as immutable. As the system evolves, the…

Optimization and Control · Mathematics 2018-02-05 Charafeddine Mouzouni

The stable marriage problem, as addressed by Gale and Shapely [1] consists of providing a bipartite matching between n " boys " and n " girls "-each of whom have a totally ordered preference list over the other set-such that there exists no…

Computer Science and Game Theory · Computer Science 2016-08-30 Mircea Adrian Digulescu

Recent work from the reinforcement learning community has shown that Evolution Strategies are a fast and scalable alternative to other reinforcement learning methods. In this paper we show that Evolution Strategies are a special case of…

Multiagent Systems · Computer Science 2018-08-14 David D. Fan , Evangelos Theodorou , John Reeder

In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

Social and Information Networks · Computer Science 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling

This paper proposes a new equilibrium concept "robust perfect equilibrium" for non-cooperative games with a continuum of players, incorporating three types of perturbations. Such an equilibrium is shown to exist (in symmetric mixed…

Theoretical Economics · Economics 2021-05-06 Enxian Chen , Lei Qiao , Xiang Sun , Yeneng Sun

Simple stochastic games are turn-based 2.5-player zero-sum graph games with a reachability objective. The problem is to compute the winning probability as well as the optimal strategies of both players. In this paper, we compare the three…

Computer Science and Game Theory · Computer Science 2022-07-21 Jan Kretinsky , Emanuel Ramneantu , Alexander Slivinskiy , Maximilian Weininger

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying…

Physics and Society · Physics 2024-06-10 Katherine Betz , Feng Fu , Naoki Masuda

Games have always been a popular test bed for artificial intelligence techniques. Game developers are always in constant search for techniques that can automatically create computer games minimizing the developer's task. In this work we…

Neural and Evolutionary Computing · Computer Science 2014-06-03 Zahid Halim

We study the problem of finding equilibrium strategies in multi-agent games with incomplete payoff information, where the payoff matrices are only known to the players up to some bounded uncertainty sets. In such games, an ex-post…

Computer Science and Game Theory · Computer Science 2020-07-14 Wenshuo Guo , Mihaela Curmei , Serena Wang , Benjamin Recht , Michael I. Jordan

The well known refinement of the Nash Equilibrium (NE) called an Evolutionarily Stable Strategy (ESS) is investigated in the quantum Prisoner's Dilemma (PD) game that is played using an Einstein-Podolsky-Rosen type setting. Earlier results…

Quantum Physics · Physics 2015-05-13 Azhar Iqbal , Derek Abbott

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a…

Populations and Evolution · Quantitative Biology 2016-09-01 Christoph Adami , Jory Schossau , Arend Hintze

Each participant in peer-to-peer network prefers to free-ride on the contribution of other participants. Reputation based resource sharing is a way to control the free riding. Instead of classical game theory we use evolutionary game theory…

Computer Science and Game Theory · Computer Science 2017-03-27 Antriksh Goswami , Ruchir Gupta

The behaviour of multi-agent learning in many player games has been shown to display complex dynamics outside of restrictive examples such as network zero-sum games. In addition, it has been shown that convergent behaviour is less likely to…

Computer Science and Game Theory · Computer Science 2023-07-27 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

Computer Science and Game Theory · Computer Science 2024-08-16 S. Rasoul Etesami , R. Srikant

We propose an evolutionary coordination game to formalize a simplified model of the evolution of strategies during human courtship. The dynamics, derived from the consideration of experimental observations on human social behavior driven by…

Physics and Society · Physics 2015-08-26 Andrés Chacoma , Marcelo N. Kuperman , Damián H. Zanette

Algorithms for equilibrium computation generally make no attempt to ensure that the computed strategies are understandable by humans. For instance the strategies for the strongest poker agents are represented as massive binary files. In…

Computer Science and Game Theory · Computer Science 2019-01-23 Sam Ganzfried , Farzana Yusuf

We discuss long-run behavior of stochastic dynamics of many interacting agents. In particular, three-player spatial games are studied. The effect of the number of players and the noise level on the stochastic stability of Nash equilibria is…

Other Condensed Matter · Physics 2009-11-10 Jacek Miekisz