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Mean field games are concerned with the limit of large-population stochastic differential games where the agents interact through their empirical distribution. In the classical setting, the number of players is large but fixed throughout…

最优化与控制 · 数学 2019-12-30 Julien Claisse , Zhenjie Ren , Xiaolu Tan

We study network games in which players choose both the partners with whom they associate and an action level (e.g., effort) that creates spillovers for those partners. We introduce a framework and two solution concepts, extending standard…

理论经济学 · 经济学 2024-02-07 Evan Sadler , Benjamin Golub

The game-theoretic risk management framework put forth in the precursor work "Towards a Theory of Games with Payoffs that are Probability-Distributions" (arXiv:1506.07368 [q-fin.EC]) is herein extended by algorithmic details on how to…

综合经济学 · 经济学 2020-04-10 Stefan Rass

This paper presents a general closed graph property for (randomized strategy) Nash equilibrium correspondence in large games. In particular, we show that for any large game with a convergent sequence of fiinite-player games, the limit of…

最优化与控制 · 数学 2024-10-30 Enxian Chen , Bin Wu , Hanping Xu

In coalition formation games self-organized coalitions are created as a result of the strategic interactions of independent agents. For each couple of agents $(i,j)$, weight $w_{i,j}=w_{j,i}$ reflects how much agents $i$ and $j$ benefit…

计算机科学与博弈论 · 计算机科学 2018-04-19 Gianpiero Monaco , Luca Moscardelli , Yllka Velaj

The two-players $N$ strategies games quantized according to the Eisert-Lewenstein-Wilkens scheme (Phys. Rev. Lett. 83 (1999), 3077) are considered. Group theoretical methods are applied to the problem of finding a general form of gate…

量子物理 · 物理学 2015-04-01 Katarzyna Bolonek-Lasoń

Nash equilibrium is used as a model to explain the observed behavior of players in strategic settings. For example, in many empirical applications we observe player behavior, and the problem is to determine if there exist payoffs for the…

计算机科学与博弈论 · 计算机科学 2014-09-30 Siddharth Barman , Umang Bhaskar , Federico Echenique , Adam Wierman

We establish the existence of fixed points for set-valued maps defined on metric spaces and satisfying a pointwise or a local version of Banach's contraction property. As an application, we demonstrate the existence of Nash equilibrium in a…

最优化与控制 · 数学 2022-11-24 Ted Loch-Temzelides

We study pure Nash equilibria in infinite-duration games on graphs, with partial visibility of actions but communication (based on a graph) among the players. We show that a simple communication mechanism consisting in reporting the…

计算机科学与博弈论 · 计算机科学 2019-06-27 Patricia Bouyer , Nathan Thomasset

The designs of many large-scale systems today, from traffic routing environments to smart grids, rely on game-theoretic equilibrium concepts. However, as the size of an $N$-player game typically grows exponentially with $N$, standard game…

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

物理与社会 · 物理学 2015-05-14 Dirk Helbing , Anders Johansson

We consider the provision of public goods on networks of strategic agents. We study different effort outcomes of these network games, namely, the Nash equilibria, Pareto efficient effort profiles, and semi-cooperative equilibria (effort…

计算机科学与博弈论 · 计算机科学 2016-05-20 Parinaz Naghizadeh , Mingyan Liu

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

计算机科学与博弈论 · 计算机科学 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

Many economic interventions are designed as marginal changes in incentives. Yet in environments shaped by coordination, institutional persistence, and path dependence, such reforms often leave behavior largely unchanged. This paper studies…

理论经济学 · 经济学 2026-05-12 Madjid Eshaghi Gordji , Esmaiel Abounoori , Mohamadali Berahman

In a strategic form game a strategy profile is an equilibrium if no viable coalition of agents (or players) benefits (in the Pareto sense) from jointly changing their strategies. Weaker or stronger equilibrium notions can be defined by…

计算机科学与博弈论 · 计算机科学 2019-10-11 Bugra Caskurlu , Ozgun Ekici , Fatih Erdem Kizilkaya

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

最优化与控制 · 数学 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

We study repeated games where players use an exponential learning scheme in order to adapt to an ever-changing environment. If the game's payoffs are subject to random perturbations, this scheme leads to a new stochastic version of the…

概率论 · 数学 2010-10-22 Panayotis Mertikopoulos , Aris L. Moustakas

We extend the concept of a classical two-person static game to the quantum domain, by giving an Hilbert structure to the space of classical strategies and studying the Battle of the Sexes game. We show that the introduction of entangled…

量子物理 · 物理学 2009-11-06 Luca Marinatto , Tullio Weber

Previous models of international conflict have suffered two shortfalls. They tended not to embody dynamic changes, focusing rather on static slices of behavior over time. These models have also been empirically evaluated in ways that…

应用统计 · 统计学 2015-05-01 Shahryar Minhas , Peter D. Hoff , Michael D. Ward

When two or more self-interested agents put their plans to execution in the same environment, conflicts may arise as a consequence, for instance, of a common utilization of resources. In this case, an agent can postpone the execution of a…

人工智能 · 计算机科学 2015-03-05 Jaume Jordán , Eva Onaindia