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Direct reciprocity is a well-known mechanism that could explain how cooperation emerges and prevails in an evolving population. Numerous prior researches have studied the emergence of cooperation in multiplayer games. However, most of them…

种群与进化 · 定量生物学 2021-08-25 Fang Chen , Te Wu , Guocheng Wang , Long Wang

In a multi-objective game, each individual's payoff is a \emph{vector-valued} function of everyone's actions. Under such vectorial payoffs, Pareto-efficiency is used to formulate each individual's best-response condition, inducing…

计算机科学与博弈论 · 计算机科学 2018-09-14 Anisse Ismaili

The performance of two pivoting algorithms, due to Lemke and Cottle and Dantzig, is studied on linear complementarity problems (LCPs) that arise from infinite games, such as parity, average-reward, and discounted games. The algorithms have…

计算机科学与博弈论 · 计算机科学 2020-01-16 John Fearnley , Marcin Jurdziński , Rahul Savani

In communication systems where users share common resources, users' selfish behavior usually results in suboptimal resource utilization. There have been extensive works that model communication systems with selfish users as one-shot games…

信息论 · 计算机科学 2011-11-11 Yuanzhang Xiao , Jaeok Park , Mihaela van der Schaar

Mean-payoff games are important quantitative models for open reactive systems. They have been widely studied as games of full observation. In this paper we investigate the algorithmic properties of several sub-classes of mean-payoff games…

计算机科学与博弈论 · 计算机科学 2017-10-10 Paul Hunter , Arno Pauly , Guillermo A. Pérez , Jean-François Raskin

Nash equilibrium (NE) assumes that players always make a best response. However, this is not always true; sometimes people cooperate even it is not a best response to do so. For example, in the Prisoner's Dilemma, people often cooperate.…

计算机科学与博弈论 · 计算机科学 2014-12-23 Nan Rong , Joseph Y. Halpern

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

计算机科学与博弈论 · 计算机科学 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

理论经济学 · 经济学 2022-07-04 Rohit Lamba , Sergey Zhuk

Through a stochastic control theoretic approach, we analyze reputation games where a strategic long-lived player acts in a sequential repeated game against a collection of short-lived players. The key assumption in our model is that the…

最优化与控制 · 数学 2020-01-22 Nuh Aygün Dalkıran , Serdar Yüksel

This work considers two-player zero-sum semi-Markov games with incomplete information on one side and perfect observation. At the beginning, the system selects a game type according to a given probability distribution and informs to Player…

最优化与控制 · 数学 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao

Consider a very simple class of (finite) games: after an initial move by nature, each player makes one move. Moreover, the players have common interests: at each node, all the players get the same payoff. We show that the problem of…

计算机科学与博弈论 · 计算机科学 2007-05-23 Francis Chu , Joseph Y. Halpern

Mean-payoff games (MPGs) are infinite duration two-player zero-sum games played on weighted graphs. Under the hypothesis of perfect information, they admit memoryless optimal strategies for both players and can be solved in…

计算机科学中的逻辑 · 计算机科学 2015-04-14 Paul Hunter , Guillermo A. Pérez , Jean-François Raskin

We consider zero-sum stochastic games with finite state and action spaces, perfect information, mean payoff criteria, without any irreducibility assumption on the Markov chains associated to strategies (multichain games). The value of such…

最优化与控制 · 数学 2012-08-03 Marianne Akian , Jean Cochet-Terrasson , Sylvie Detournay , Stéphane Gaubert

This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a…

最优化与控制 · 数学 2014-07-16 Dario Bauso , Thomas W L Norman

The peculiarity of adversarial team games resides in the asymmetric information available to the team members during the play, which makes the equilibrium computation problem hard even with zero-sum payoffs. The algorithms available in the…

计算机科学与博弈论 · 计算机科学 2022-01-26 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

We show that an N-person non-cooperative semi-Markov game under limiting ratio average pay-off has a pure semi-stationary Nash equilibrium. In an earlier paper, the zero-sum two person case has been dealt with. The proof follows by reducing…

计算机科学与博弈论 · 计算机科学 2024-02-27 K. G. Bakshi , S. Sinha

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the properties that optimal solutions need to have, and devised a…

数据结构与算法 · 计算机科学 2026-03-11 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

最优化与控制 · 数学 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

In imperfect information games (e.g. Bridge, Skat, Poker), one of the fundamental considerations is to infer the missing information while at the same time avoiding the disclosure of private information. Disregarding the issue of protecting…

人工智能 · 计算机科学 2024-05-24 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

Infinitely repeated games can support cooperative outcomes that are not equilibria in the one-shot game. The idea is to make sure that any gains from deviating will be offset by retaliation in future rounds. However, this model of…

计算机科学与博弈论 · 计算机科学 2024-06-04 Ratip Emin Berker , Vincent Conitzer