Dynamic Coalition Formation and the Core
This paper presents a dynamic model of endogenous coalition formation in cooperative games with transferable utility. The players are boundedly rational. At each time step, a player decides which of the existing coalitions to join, and demands a payoff. These decisions are determined by a (non- cooperative) best-reply rule, given the coalition structure and allocation in the previous period. We show that absorbing states of the process exist if the game is essential. Further, if the players are allowed to experiment with myopically suboptimal strategies whenever there are potential gains from trade, an isomorphism between the set of absorbing states of the process and the set of core allocations can beestablished, and the process converges to one of these states with probability one whenever the core is non-empty. This result holds independently of the form of the characteristic function.
|Date of creation:||Jul 1998|
|Contact details of provider:|| Postal: Maynooth, Co. Kildare|
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- Perry, Motty & Reny, Philip J, 1994.
"A Noncooperative View of Coalition Formation and the Core,"
Econometric Society, vol. 62(4), pages 795-817, July.
- Perry, M. & Rany, P., 1992. "A Non-Cooperative View of Coalition Formation and the Core," UWO Department of Economics Working Papers 9203, University of Western Ontario, Department of Economics.
- Murali Agastya, 1997. "Adaptive Play in Multiplayer Bargaining Situations," Review of Economic Studies, Oxford University Press, vol. 64(3), pages 411-426.
- Murali Agastia, "undated". "Adaptive Play in Multiplayer Bargaining Situations," ELSE working papers 007, ESRC Centre on Economics Learning and Social Evolution.
- Kalai, Ehud & Postlewaite, Andrew & Roberts, John, 1979. "A group incentive compatible mechanism yielding core allocations," Journal of Economic Theory, Elsevier, vol. 20(1), pages 13-22, February.
- Ehud Kalai, 1978. "A Group Incentive Compatible Mechanism Yielding Core Allocation," Discussion Papers 329, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Allan M. Feldman, 1973. "Bilateral Trading Processes, Pairwise Optimally, and Pareto Optimality," Review of Economic Studies, Oxford University Press, vol. 40(4), pages 463-473.
- Noldeke Georg & Samuelson Larry, 1993. "An Evolutionary Analysis of Backward and Forward Induction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 425-454, July.
- Noeldecke,Georg & Samuelson,Larry, "undated". "An evolutionary analysis of backward and forward induction," Discussion Paper Serie B 228, University of Bonn, Germany.
- G. Noldeke & L. Samuelson, 2010. "An Evolutionary Analysis of Backward and Forward Induction," Levine's Working Paper Archive 538, David K. Levine.
- Tone Dieckmann, 1997. "The Evolution of conventions with Mobile Players," Economics, Finance and Accounting Department Working Paper Series n720897, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
- Ulrich Schwalbe & Siegfried K. Berninghaus, 1996. "Conventions, local interaction, and automata networks," Journal of Evolutionary Economics, Springer, vol. 6(3), pages 297-312. Full references (including those not matched with items on IDEAS)
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