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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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: | Aumann, R. (1959), Acceptable points in general cooperative n-person games, Annals of Mathematics Studies, 40, pp.287-324. Aumann, R. (1967) A survey of games without side payments, in Essays in Mathematical Economics (M. Shubik eds.), pp.3-27. Princeton University Press. Bloch, F. (1997), Non cooperative models of coalition formation in games with spillovers, Paper presented at the Second Coalition Formation Workshop, C.O.R.E., June 1997. 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. Harsanyi, J. (1959), A bargaining model for the cooperative n-person games, in Contributions to the Theory of Games (A. Tucker and D. Luce eds.), pp. 324-356. Princeton, Princeton University Press. 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. Rajan, R. (1989) Endogenous coalition formation in cooperative oligopolies, International Economic Review, 30, pp.863-876. Shubik, M. (1984), Game Theory in the Social Sciences: Concepts and Solutions, Cambridge, MA, MIT Press. |
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