Displaying similar documents to “Production games, core deficit, duality and shadow prices”

Convexity of production, common pool and oligopoly games: a survey

Theo S. H. Driessen, Holger Meinhardt (2006)

Banach Center Publications

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The paper surveys a uniform proof technique of the convexity property for three different cooperative TU games arising from three different economical settings. The production economy, common pool situation and oligopoly framework involve a cost function, but different production functions. Each of the three corresponding game theoretic models refers to some maximization problem described by optimizing a certain net profit function over all feasible production levels. The current mathematical...

The equal split-off set for cooperative games

Rodica Branzei, Dinko Dimitrov, Stef Tijs (2006)

Banach Center Publications

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In this paper the equal split-off set is introduced as a new solution concept for cooperative games. This solution is based on egalitarian considerations and it turns out that for superadditive games the equal split-off set is a subset of the equal division core. Moreover, the proposed solution is single valued on the class of convex games and it coincides with the Dutta-Ray constrained egalitarian solution.

Fast computation of the leastcore and prenucleolus of cooperative games

Joseph Frédéric Bonnans, Matthieu André (2008)

RAIRO - Operations Research

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The computation of leastcore and prenucleolus is an efficient way of allocating a common resource among players. It has, however, the drawback being a linear programming problem with 2 - 2 constraints. In this paper we show how, in the case of convex production games, generate constraints by solving small size linear programming problems, with both continuous and integer variables. The approach is extended to games with symmetries (identical players), and to games with partially...

Simple equilibria in finite games with convexity properties

Tadeusz Radzik, Piotr Więcek (2015)

Applicationes Mathematicae

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This review paper gives a characterization of non-coalitional zero-sum and non-zero-sum games with finite strategy spaces and payoff functions having some concavity or convexity properties. The characterization is given in terms of the existence of two-point Nash equilibria, that is, equilibria consisting of mixed strategies with spectra consisting of at most two pure strategies. The structure of such simple equilibria is discussed in various cases. In particular, many of the results...

The Give and Take game: Analysis of a resource sharing game

Pedro Mariano, Luís Correia (2015)

International Journal of Applied Mathematics and Computer Science

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We analyse Give and Take, a multi-stage resource sharing game to be played between two players. The payoff is dependent on the possession of an indivisible and durable resource, and in each stage players may either do nothing or, depending on their roles, give the resource or take it. Despite these simple rules, we show that this game has interesting complex dynamics. Unique to Give and Take is the existence of multiple Pareto optimal profiles that can also be Nash equilibria, and a...

Design of a Participatory Decision Making Agent Architecture Based on Argumentation and Influence Function – Application to a Serious Game about Biodiversity Conservation

Alessandro Sordoni, Jean-Pierre Briot, Isabelle Alvarez, Eurico Vasconcelos, Marta de Azevedo Irving, Gustavo Melo (2010)

RAIRO - Operations Research

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This paper addresses an ongoing experience in the design of an artificial agent taking decisions and combining them with the decisions taken by human agents. The context is a serious game research project, aimed at computer-based support for participatory management of protected areas (and more specifically national parks) in order to promote biodiversity conservation and social inclusion. Its objective is to help various stakeholders (, environmentalist, tourism operator) to collectively...

Optimal risk sharing as a cooperative game

Łukasz Kuciński (2011)

Applicationes Mathematicae

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The problem of choosing an optimal insurance policy for an individual has recently been better understood, particularly due to the papers by Gajek and Zagrodny. In this paper we study its multi-agent version: we assume that insureds cooperate with one another to maximize their utility function. They create coalitions by bringing their risks to the pool and purchasing a common insurance contract. The resulting outcome is divided according to a certain rule called strategy. We address...

On two-point Nash equilibria in bimatrix games with convexity properties

Wojciech Połowczuk (2006)

Applicationes Mathematicae

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This paper considers bimatrix games with matrices having concavity properties. The games described by such payoff matrices well approximate two-person non-zero-sum games on the unit square, with payoff functions F₁(x,y) concave in x for each y, and/or F₂(x,y) concave in y for each x. For these games it is shown that there are Nash equilibria in players' strategies with supports consisting of at most two points. Also a simple search procedure for such Nash equilibria is given. ...