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The nucleolus offers a desirable payoff-sharing solution in cooperative games thanks to its attractive properties - it always exists and lies in the core (if the core is non-empty), and is unique. Although computing the nucleolus is very…

最优化与控制 · 数学 2017-04-28 Tri-Dung Nguyen

Research has shown that the addition of abstention as an option transforms social dilemmas to rock-paper-scissor type games, where defectors dominate cooperators, cooperators dominate abstainers (loners), and abstainers (loners), in turn,…

计算机科学与博弈论 · 计算机科学 2018-12-12 Marcos Cardinot , Josephine Griffith , Colm O'Riordan , Matjaz Perc

The computation of a solution concept of a cooperative game usually depends on values of all coalitions. However, in some applications, values of some of the coalitions might be unknown due to various reasons. We introduce a method to…

计算机科学与博弈论 · 计算机科学 2022-12-12 Martin Černý

We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are…

物理与社会 · 物理学 2026-02-13 Joy Das Bairagya , Jonathan Newton , Sagar Chakraborty

We study a complementarity game with multiple populations whose members' offered contributions are put together towards some common aim. When the sum of the players' offers reaches or exceeds some threshold K, they each receive K minus…

种群与进化 · 定量生物学 2010-11-17 Juergen Jost , Wei Li

We consider a stochastic version of the well-known Blotto game, called the gladiator game. In this zero-sum allocation game two teams of gladiators engage in a sequence of one-to-one fights in which the probability of winning is a function…

计算机科学与博弈论 · 计算机科学 2019-01-21 Yosef Rinott , Marco Scarsini , Yaming Yu

We use the theory of cooperative games for the design of fair insurance contracts. An insurance contract needs to specify the premium to be paid and a possible participation in the benefit (or surplus) of the company. It results from the…

数理金融 · 定量金融 2020-09-10 Delia Coculescu , Freddy Delbaen

Motivated by civic problems such as participatory budgeting and multiwinner elections, we consider the problem of public good allocation: Given a set of indivisible projects (or candidates) of different sizes, and voters with different…

计算机科学与博弈论 · 计算机科学 2021-10-26 Kamesh Munagala , Yiheng Shen , Kangning Wang , Zhiyi Wang

An extension to the classical notion of core is the notion of $k$-additive core, that is, the set of $k$-additive games which dominate a given game, where a $k$-additive game has its M\"obius transform (or Harsanyi dividends) vanishing for…

计算机科学与博弈论 · 计算机科学 2011-02-08 Michel Grabisch , Tong li

Research in cooperative games often assumes that agents know the coalitional values with certainty, and that they can belong to one coalition only. By contrast, this work assumes that the value of a coalition is based on an underlying…

计算机科学与博弈论 · 计算机科学 2018-04-17 Michalis Mamakos , Georgios Chalkiadakis

In the present work we propose an original analytical model of coopetitive game. We try to apply this analytical model of coopetition - based on game theory and conceived at a macro level - to the Greek crisis, suggesting feasible solutions…

最优化与控制 · 数学 2011-09-19 David Carfí , Daniele Schiliró

Generalization of the minority game to more than one market is considered. At each time step every agent chooses one of its strategies and acts on the market related to this strategy. If the payoff function allows for strong fluctuation of…

交易与市场微观结构 · 定量金融 2011-05-12 Karol Wawrzyniak , Wojciech Wislicki

Getting a group to adopt cooperative norms is an enduring challenge. But in real-world settings, individuals don't just passively accept static environments, they act both within and upon the social systems that structure their…

社会与信息网络 · 计算机科学 2025-02-11 Qiankun Zhong , Nori Jacoby , Ofer Tchernichovski , Seth Frey

We consider a committee voting on whether to adopt a reform under a quota rule, where members differ in how much they value the reform some supporting it, others opposing it. We examine how members can influence each other's votes through…

综合经济学 · 经济学 2025-05-19 Ali Lazrak , Jianfeng Zhang

We show that any cooperative game can be represented by an assignment of costly facilities to players, in which it is intuitively obvious how to allocate the total cost in an equitable manner. This equitable solution turns out to be the…

理论经济学 · 经济学 2024-01-19 Pradeep Dubey

In this paper we provide three new results axiomatizing the core of games in characteristic function form (not necessarily having transferable utility) obeying an innocuous condition (that the set of individually rational pay-off vectors is…

理论经济学 · 经济学 2024-10-01 Anindya Bhattacharya

Understanding how cooperation emerges in public goods games is crucial for addressing societal challenges. While optional participation can establish cooperation without identifying cooperators, it relies on specific assumptions -- that…

High performance machine learning models have become highly dependent on the availability of large quantity and quality of training data. To achieve this, various central agencies such as the government have suggested for different data…

机器学习 · 计算机科学 2019-11-27 Zhiliang Chen

We introduce a class of cooperative games induced by weighted directed graphs. Specifically, the coalitional value combines an internal interaction term given by the induced subgraph game with an external component based on minimal incoming…

计算机科学与博弈论 · 计算机科学 2026-05-19 David Ryzák , Tomáš Kroupa

We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual benefits) and on a function of the strategy profile which is…

计算机科学与博弈论 · 计算机科学 2021-09-20 Robert P. Gilles , Lina Mallozzi , Roberta Messalli