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We prove for every $n\ge4$ the existence of an $n$-player game in normal form with integer payoffs that has a unique Nash equilibrium, which is fully mixed. In the equilibrium, each probability weight is an algebraic number of degree…

计算机科学与博弈论 · 计算机科学 2026-05-27 Edan Orzech , Martin Rinard

A group of players which contain n sellers and n buyers bargain over the partitions of n pies. A seller(/buyer) has to reach an agreement with a buyer (/seller) on the division of a pie. The players bargain in a system like the stock…

计算机科学与博弈论 · 计算机科学 2016-10-10 Jiawei Li

We consider zero-sum games in which players move between adjacent states, where in each pair of adjacent states one state dominates the other. The states in our game can represent positional advantages in physical conflict such as high…

计算机科学与博弈论 · 计算机科学 2024-07-11 Farid Arthaud , Edan Orzech , Martin Rinard

We study two-player constant-sum Bayesian games with type-independent payoffs. Under a "completeness" statistical condition, any "identifiable'" equilibrium is an ex-post equilibrium. We apply this result to a Downsian election in which…

理论经济学 · 经济学 2025-12-22 Navin Kartik , Francesco Squintani , Katrin Tinn

We consider a repeated game in which players, considered as nodes of a network, are connected. Each player observes her neighbors' moves only. Thus, monitoring is private and imperfect. Players can communicate with their neighbors at each…

理论经济学 · 经济学 2025-07-15 Andrea Benso

We characterise multi-candidate pure-strategy equilibria in the Hotelling-Downs spatial election model for the class of best-worst voting rules, in which each voter is endowed with both a positive and a negative vote, i.e., each voter can…

计算机科学与博弈论 · 计算机科学 2016-10-11 Dodge Cahan , Arkadii Slinko

Many interactions result in a socially suboptimal equilibrium, or in a non-equilibrium state, from which arriving at an equilibrium through simple dynamics can be impossible of too long. Aiming to achieve a certain equilibrium, we persuade,…

计算机科学与博弈论 · 计算机科学 2023-12-07 Gleb Polevoy , Jonas Schweichhart

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

量子物理 · 物理学 2007-05-23 Simon C. Benjamin , Patrick M. Hayden

We consider the problem of modeling competitive diffusion in real world social networks via the notion of ChoiceGAPs which combine choice logic programs due to Sacca` and Zaniolo and Generalized Annotated Programs due to Kifer and…

计算机科学中的逻辑 · 计算机科学 2016-06-09 Edoardo Serra , Francesca Spezzano , V. S. Subrahmanian

We consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). We introduce these basic ideas in the context of a simple example, closely…

量子物理 · 物理学 2009-10-31 David A. Meyer

Each voter $i \in I$ has $\alpha_i$ cards that (s)he distributes among the candidates $a \in A$ as a measure of approval. One (or several) candidate(s) who received the maximum number of cards is (are) elected. We provide polynomial…

组合数学 · 数学 2020-10-30 Endre Boros , Ondrej Cepek , Vladimir Gurvich , Kazuhisa Makino

A game has approximate equilibria if for every $\epsilon >0$ there is an $\epsilon$-equilibrium. We show that there is a stochastic game that lacks approximate equilibria. This game has finitely many players and actions, their payoffs are…

泛函分析 · 数学 2023-10-23 Robert Samuel Simon

We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric $N$ player differential games with interactions through controls under displacement semimonotonicity assumptions. Surprisingly, the nonseparable…

偏微分方程分析 · 数学 2026-04-01 Hei Jie Lam , Alpár R. Mészáros

Gvozdeva, Hemaspaandra, and Slinko (2011) have introduced three hierarchies for simple games in order to measure the distance of a given simple game to the class of (roughly) weighted voting games. Their third class $\mathcal{C}_\alpha$…

组合数学 · 数学 2012-11-20 Josep Freixas , Sascha Kurz

The issue of fairness in decision-making is a critical one, especially given the variety of stakeholder demands for differing and mutually incompatible versions of fairness. Adopting a strategic interaction of perspectives provides an…

机器学习 · 计算机科学 2025-04-24 Tina Behzad , Mithilesh Kumar Singh , Anthony J. Ripa , Klaus Mueller

We consider a partially asymmetric multi-players zero-sum game with two strategic variables. All but one players have the same payoff functions, and one player (Player $n$) does not. Two strategic variables are $t_i$'s and $s_i$'s for each…

最优化与控制 · 数学 2018-09-11 Atsuhiro Satoh , Yasuhito Tanaka

Given a graph G with n vertices and k players, each of which is placing a facility on one of the vertices of G, we define the score of the i'th player to be the number of vertices for which, among all players, the facility placed by the…

数据结构与算法 · 计算机科学 2017-06-06 Roee David , Nimrod Talmon

In increasingly different contexts, it happens that a human player has to interact with artificial players who make decisions following decision-making algorithms. How should the human player play against these algorithms to maximize his…

计算机科学与博弈论 · 计算机科学 2022-02-22 Maurizio D 'Andrea

A negotiating team is a group of two or more agents who join together as a single negotiating party because they share a common goal related to the negotiation. Since a negotiating team is composed of several stakeholders, represented as a…

计算机科学与博弈论 · 计算机科学 2021-08-03 Leora Schmerler , Noam Hazon

This paper discusses the problem of efficiently solving parity games where player Odd has to obey an additional 'strong transition fairness constraint' on its vertices -- given that a player Odd vertex $v$ is visited infinitely often, a…

计算机科学与博弈论 · 计算机科学 2023-10-24 Irmak Sağlam , Anne-Kathrin Schmuck