A Focal-Point Solution for Bargaining Problems with Coalition Structure

In this paper we study the restriction, to the class of bargaining problems with coalition structure, of several values which have been proposed on the class of non-transferable utility games with coalition structure. We prove that all of them coincide with the solution independently studied in Chae and Heidhues (2004) and Vidal-Puga (2005a). Several axiomatic characterizations and two noncooperative mechanisms are proposed.coalition structure bargaining values

Consistencia en juegos sin utilidad transferible

Programa de Doctorado en Administración y Dirección de EmpresasEsta memoria se centra en el análisis axiomático de algunas de las soluciones para juegos sin utilidad transferibles más referenciadas en la literatura, como son la solución de Harsanyi, la solución Shapley NTU y las soluciones igualitarias. En concreto se caracterizan con diferentes sistemas de axiomas que incluyen el Axioma de Consistencia, determinando dichas soluciones como soluciones consistentes.Universidad Pablo de Olavide. Departamento de Economía, Métodos Cuantitativos e Historia Económic

Single NTU-value solutions

We propose a variation of the Hart and Mas-Colell non-cooperative bargaining model for n-person games in coalitional form. This strategic game implements, in the limit, a new NTU-value for the class of monotonic games. This value coincides with the Maschler and Owen value for hyperplane games, and with the Shapley value for TU games. The main characteristic of this proposal is that always select a unique payoff allocation. This value can also be considered as an extension of the Nash bargaining solution. Variations of this model yield extensions of the Discrete Raiffa solution, and the Kalai-Smorodinsky solution.Shapley value; NTU-value solutions; Nash Bargaining; Raiffa solution; Kali-Smorodinsky solution.

Random Marginal and Random Removal values

We propose two variations of the non-cooperative bargaining model for games in coalitional form, introduced by Hart and Mas-Colell (1996a). These strategic games implement, in the limit, two new NTU-values: The random marginal and the random removal values. The main characteristic of these proposals is that they always select a unique payoff allocation in NTU-games. The random marginal value coincides with the Consistent NTU-value (Maschler and Owen, 1989) for hyperplane games, and with the Shapley value for TU games (Shapley, 1953). The random removal coincides with the solidarity value (Novak and Radzik, 1994) in TU-games. In large games it is showed that, in the special class of market games, the random marginal coincides with the Shapley NTU-value (Shapley,1969), and that the random removal coincides with the equal split solution.Shapley value; NTU-games; large market games

Random Marginal and Random Removal values

We propose two variations of the non-cooperative bargaining model for games in coalitional form, introduced by Hart and Mas-Colell (1996a). These strategic games implement, in the limit, two new NTU-values: The random marginal and the random removal values. The main characteristic of these proposals is that they always select a unique payoff allocation in NTU-games. The random marginal value coincides with the Consistent NTU-value (Maschler and Owen, 1989) for hyperplane games, and with the Shapley value for TU games (Shapley, 1953). The random removal coincides with the solidarity value (Novak and Radzik, 1994) in TU-games. In large games it is showed that, in the special class of market games, the random marginal coincides with the Shapley NTU-value (Shapley,1969), and that the random removal coincides with the equal split solution

Random Marginal and Random Removal values

We propose two variations of the non-cooperative bargaining model for games in coalitional form, introduced by Hart and Mas-Colell (1996a). These strategic games implement, in the limit, two new NTU-values: The random marginal and the random removal values. The main characteristic of these proposals is that they always select a unique payoff allocation in NTU-games. The random marginal value coincides with the Consistent NTU-value (Maschler and Owen, 1989) for hyperplane games, and with the Shapley value for TU games (Shapley, 1953). The random removal coincides with the solidarity value (Novak and Radzik, 1994) in TU-games. In large games it is showed that, in the special class of market games, the random marginal coincides with the Shapley NTU-value (Shapley,1969), and that the random removal coincides with the equal split solution

Random Dictatorship and the Value in Cooperative Games with Incomplete Information

In this paper we define a bargaining solution for cooperative games with incomplete information. Our solution concept is inspired in Myerson's [Mechanism design by an informed principal , Econometrica. (1983), 51, 1767-1797] theory on the informed principal problem and the random dictatorship procedure. It has the essential feature of generalizing the Maschler-Owen consistent value for non-transferable utility games. Our main results are individual rationality, incentive (second best) efficiency and existence of our cooperative solution. To obtain these results we restrict our analysis to cooperative games with stochastically independent types, private values and orthogonal coalitions