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This article uses data from two experimental studies of two-person Prisoner's Dilemma games [1, 2] and compares the data with the theoretic predictions calculated with the use of a quantum game theoretical method. The experimental findings…

量子物理 · 物理学 2007-07-23 Matthias Hanauske , Steffen Bernius , Wolfgang Köenig , Berndt Dugall

We introduce a new solution concept, called periodicity, for selecting optimal strategies in strategic form games. This periodicity solution concept yields new insight into non-trivial games. In mixed strategy strategic form games, periodic…

计算机科学与博弈论 · 计算机科学 2020-06-30 V. K. Oikonomou , J. Jost

In coalitional games, traditional coalitional game theory does not apply if different participants hold different opinions about the payoff function that corresponds to each subset of the coalition. In this paper, we propose a framework in…

计算机科学与博弈论 · 计算机科学 2017-09-12 Bomin Jiang , Mardavij Roozbehani , Munther A. Dahleh

Cooperation is usually represented as a Prisoner's Dilemma game. Although individual self-interest may not favour cooperation, cooperation can evolve if, for example, players interact multiple times adjusting their behaviour accordingly to…

物理与社会 · 物理学 2015-04-29 Elton J. S. Júnior , Lucas Wardil , Jafferson K. L. da Silva

This paper investigates the potential benefits of cooperation in scenarios where finitely many agents compete for shared resources, leading to congestion and thereby reduced rewards. By appropriate coordination the members of the…

计算机科学与博弈论 · 计算机科学 2024-10-10 Riya Sultana , Veeraruna Kavitha

Behavioral experiments on the Ultimatum Game have shown that we human beings have remarkable preference in fair play, contradicting the predictions by the game theory. Most of the existing models seeking for explanations, however, strictly…

种群与进化 · 定量生物学 2022-12-07 Guozhong Zheng , Jiqiang Zhang , Rizhou Liang , Lin Ma , Li Chen

In many cases the Nash equilibria are not predictive of the experimental players' behaviour. For some games of Game Theory it is proposed here a method to estimate the probabilities with which the different options will be actually chosen…

最优化与控制 · 数学 2014-04-10 Cesco Reale

We study the notion of efficiency for cooperative games on simplicial complexes. In such games, the grand coalition $[n]$ may be forbidden, and, thus, it is a non-trivial problem to study the total number of payoff $v_{\Delta}$ of a…

组合数学 · 数学 2020-01-22 Ivan Martino

We give examples of situations -- stochastic production, military tactics, corporate merger -- where it is beneficial to concentrate risk rather than to diversify it, that is, to put all eggs in one basket. Our examples admit a dual…

概率论 · 数学 2024-09-24 Pradeep Dubey , Siddhartha Sahi , Guanyang Wang

We study the population genetics of Evolution in the important special case of weak selection, in which all fitness values are assumed to be close to one another. We show that in this regime natural selection is tantamount to the…

计算机科学与博弈论 · 计算机科学 2012-08-16 Erick Chastain , Adi Livnat , Christos Papadimitriou , Umesh Vazirani

Correlated equilibria -- and their generalization $\Phi$-equilibria -- are a fundamental object of study in game theory, offering a more tractable alternative to Nash equilibria in multi-player settings. While computational aspects of…

计算机科学与博弈论 · 计算机科学 2025-10-23 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Gabriele Farina

Several variations of hat guessing games have been popularly discussed in recreational mathematics. In a typical hat guessing game, after initially coordinating a strategy, each of $n$ players is assigned a hat from a given color set.…

组合数学 · 数学 2011-01-20 Tengyu Ma , Xiaoming Sun , Huacheng Yu

We consider a cooperative game defined by an economic lot-sizing problem with heterogeneous costs over a finite time horizon, in which each firm faces demand for a single product in each period and coalitions can pool orders. The model of…

系统与控制 · 电气工程与系统科学 2024-02-06 Luis Guardiola , Ana Meca , Justo Puerto

We introduce a combinatorial variant of the cost sharing problem: several services can be provided to each player and each player values every combination of services differently. A publicly known cost function specifies the cost of…

计算机科学与博弈论 · 计算机科学 2017-04-28 Shahar Dobzinski , Shahar Ovadia

Underlying relationships among Multi-Agent Systems (MAS) in hazardous scenarios can be represented as Game-theoretic models. This paper proposes a new hierarchical network-based model called Game-theoretic Utility Tree (GUT), which…

多智能体系统 · 计算机科学 2023-03-30 Qin Yang , Ramviyas Parasuraman

Combinatorial Game Theory typically studies sequential rulesets with perfect information where two players alternate moves. There are rulesets with {\em entailing moves} that break the alternating play axiom and/or restrict the other…

组合数学 · 数学 2023-04-04 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

This paper proposes a peer-to-peer energy trading scheme that can help the centralized power system to reduce the total electricity demand of its customers at the peak hour. To do so, a cooperative Stackelberg game is formulated, in which…

系统与控制 · 电气工程与系统科学 2019-08-27 Wayes Tushar , Tapan Kumar Saha , Chau Yuen , Thomas Morstyn , Nahid-Al-Masood , H. Vincent Poor , Richard Bean

We construct a statistical ensemble of games, where in each independent subensemble we have two players playing the same game. We derive the mean payoffs per move of the representative players of the game, and we evaluate all the…

种群与进化 · 定量生物学 2016-09-08 Rui Dilao , Joao Graciano

Two acts are comonotonic if they yield high payoffs in the same states of nature. The main purpose of this paper is to derive a new characterization of Cumulative Prospect Theory (CPT) through simple properties involving comonotonicity. The…

理论经济学 · 经济学 2023-05-01 Lorenzo Bastianello , Alain Chateauneuf , Bernard Cornet

This paper explores the feasibility of social cooperation between prosumers within an energy network in establishing their sustainable participation in peer-to-peer (P2P) energy trading. In particular, a canonical coalition game (CCG) is…

计算机科学与博弈论 · 计算机科学 2018-10-01 Wayes Tushar , Tapan Kumar Saha , Chau Yuen , Paul Liddell , Richard Bean , H. Vincent Poor