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Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

动力系统 · 数学 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha

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…

计算机科学与博弈论 · 计算机科学 2023-11-07 Victor Boone , Panayotis Mertikopoulos

We present a subjective equilibrium notion (called "subjective equilibrium under beliefs of exogenous uncertainty (SEBEU)" for stochastic dynamic games in which each player chooses her decisions under the (incorrect) belief that a…

最优化与控制 · 数学 2022-11-17 Gürdal Arslan , Serdar Yüksel

Truth, consistency and elementary equivalence can all be characterised in terms of games, namely the so-called evaluation game, the model-existence game, and the Ehrenfeucht-Fraisse game. We point out the great affinity of these games to…

逻辑 · 数学 2023-03-23 Jouko Väänänen

The core is a dominant solution concept in economics and cooperative game theory; it is predominantly used for profit, equivalently cost or utility, sharing. This paper demonstrates the versatility of this notion by proposing a completely…

理论经济学 · 经济学 2023-09-07 Vijay V. Vazirani

The use of equilibrium models in economics springs from the desire for parsimonious models of economic phenomena that take human reasoning into account. This approach has been the cornerstone of modern economic theory. We explain why this…

综合金融 · 定量金融 2008-12-02 J. Doyne Farmer , John Geanakoplos

Game theory provides a mathematical framework for analysing strategic situations involving at least two players. Normal-form games model situations where the players simultaneously pick their moves. In this thesis we explore the strategic…

组合数学 · 数学 2019-05-03 Nicholas Ham

We consider a dynamical approach to game in extensive forms. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding…

计算机科学与博弈论 · 计算机科学 2017-04-05 Stéphane Le Roux , Arno Pauly

This paper analyses how risk-taking behaviour and preferences over consumption rank can emerge as a neutrally stable equilibrium when individuals face an anti-coordination task. If in an otherwise homogeneous society information about…

理论经济学 · 经济学 2023-03-07 Manuel Staab

We consider the existence and computational complexity of coalitional stability concepts based on social networks. Our concepts represent a natural and rich combinatorial generalization of a recent approach termed partition equilibrium. We…

计算机科学与博弈论 · 计算机科学 2010-12-08 Martin Hoefer , Michal Penn , Maria Polukarov , Alexander Skopalik , Berhold Vöcking

Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player continuous games. In such games, the arguably natural…

计算机科学与博弈论 · 计算机科学 2020-11-10 Benjamin J. Chasnov , Daniel Calderone , Behçet Açıkmeşe , Samuel A. Burden , Lillian J. Ratliff

Recent developments in the global liberalization of equity and currency markets, coupled to advances in trading technologies, are making markets increasingly interdependent. This increased fluidity raises questions about the stability of…

adap-org · 物理学 2019-08-15 Tad Hogg , Bernardo A. Huberman , Michael Youssefmir

This review is a partial synthesis of the book ``Why stock market crash'' (Princeton University Press, January 2003), which presents a general theory of financial crashes and of stock market instabilities that his co-workers and the author…

统计力学 · 物理学 2009-11-10 D. Sornette

A new emergence mechanism related to the human fuzzy rationality is considered. It assumes that individuals (operators) governing the dynamics of a certain system try to follow an optimal strategy in controlling its motion but fail to do…

物理与社会 · 物理学 2014-01-30 Ihor Lubashevsky

We introduce a novel framework to model limited lookahead in congestion games. Intuitively, the players enter the game sequentially and choose an optimal action under the assumption that the $k-1$ subsequent players play subgame-perfectly.…

计算机科学与博弈论 · 计算机科学 2018-04-20 Carla Groenland , Guido Schäfer

The dominant theories of rational choice assume logical omniscience. That is, they assume that when facing a decision problem, an agent can perform all relevant computations and determine the truth value of all relevant logical/mathematical…

人工智能 · 计算机科学 2023-07-12 Caspar Oesterheld , Abram Demski , Vincent Conitzer

Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is…

综合金融 · 定量金融 2016-12-12 Esteban Guevara Hidalgo

We study linear quadratic dynamic games where players are uncertain about each other's control policies or goals and consequently seek to be strategically robust. Building on recent work on strategically robust and risk-averse game theory,…

最优化与控制 · 数学 2026-04-27 Boris Velasevic , Nicolas Lanzetti , Eric Mazumdar

Causal reasoning is essential for understanding decision-making about the behaviour of complex `ecosystems' of systems that underpin modern society, with security -- including issues around correctness, safety, resilience, etc. -- typically…

计算机科学中的逻辑 · 计算机科学 2025-08-05 Pinaki Chakraborty , Tristan Caulfield , David Pym

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…