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The Core of Games with Stackelberg Leaders

Currarini, Sergio and Marini, Marco (1998): The Core of Games with Stackelberg Leaders. Published in: Iowa State Economic Report No. 44/98

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Abstract

This paper considers cooperative game theoretic settings in which forming coalitions can act as Stackelberg leaders. We de…fine a value function which modi…fies the gamma-value function (Hart & Kurz, 1983, Chander & Tulkens, 1997) by letting members of deviating coalitions move …first in choosing a coordinated strategy. We accordingly defi…ne what we call the phi-core, and characterize the phi-core allocations of a cartel formation game and of a public goods economy.

Item Type:MPRA Paper
Language:English
Keywords:Core, Cooperative Games, Oligopoly, Public Goods
Subjects:C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C70 - General
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory
ID Code:22139
Deposited By:Marco A. Marini
Deposited On:27. Apr 2010 01:53
Last Modified:29. Apr 2010 13:03
References:

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Chander, P. and H. Tulkens (1997), The core of an economy with multilateral externalities, International Journal of Game Theory, 26, pp.379-401.

Fudenberg, D. and J. Tirole (1991), Game Theory. Cambridge, MA, MIT Press.

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Hurt, S. and M. Kurz (1983), Endogenous formation of coalitions, Econometrica, 51, pp. 1047-1064.

von Neumann, J. and O. Morgenstern (1944), Theory of Games and Economic Behaviour, Princeton, Princeton University Press.

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Shubik, M. (1984), Game Theory in the Social Sciences: Concepts and Solutions, Cambridge, MA, MIT Press.

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