Bargaining Power and Majoritarian Allocations
AbstractIt seems that decisions in many voting bodies might be described by a two-stage decision in which the first stage is a bargaining process and the second is a vote that is often a formality. This does not mean that the voting is irrelevant, but, rather, that it limits the threats that may be made and so influences bargaining power at the first stage. We will explore a two-stage game in which the first stage is a bargaining process and the game terminates if there is an agreement, while at the second stage, if there is no agreement at the first stage, a contested election is held to determine the joint strategy of the body. Bargaining power at the first stage is attributed to minimum winning coalitions in the possible second stage election. In an idealization of such a two-stage game, majority groups have equal bargaining power, and nonmajority groups have none. This paper uses a recent extension of bargaining theory that attributes bargaining power to groups as well as individuals and assumes that a minimum winning voting bloc has bargaining power one and other groups and individuals have bargaining power zero. For TU games, this yields a striking rule for the bargaining solution: the surplus generated by the coalition is either distributed as equal payouts, or distributed among the members with lesser individual rationality constraints, so that their payouts are equal, while others get their individual rationality constraints. In the tradition of cooperative game theory, we assume that the bargaining is successful and explicitly consider only the bargaining stage. In a digression, a model of a business enterprise as a TU game is developed, and the voting model is applied to contrast decisions in a worker cooperative (which makes decisions on the basis of majority rule among the employee members) with for-profit corporations and other organizational forms.
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Bibliographic InfoPaper provided by LeBow College of Business, Drexel University in its series School of Economics Working Paper Series with number 2013-9.
Length: 29 pages
Date of creation: 01 Dec 2013
Date of revision:
voting; cooperative games; bargaining;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
This paper has been announced in the following NEP Reports:
- NEP-ALL-2014-01-10 (All new papers)
- NEP-CDM-2014-01-10 (Collective Decision-Making)
- NEP-GTH-2014-01-10 (Game Theory)
- NEP-POL-2014-01-10 (Positive Political Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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- Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, 09.
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
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