Potential Maximization and Coalition Government Formation
AbstractA model of coalition government formation is presented in which inefficient, non-minimal winning coalitions may form in Nash equilibrium. Predictions for five games are presented and tested experimentally. The experimental data support potential maximization as a refinement of Nash equilibrium. In particular, the data support the prediction that non-minimal winning coalitions occur when the distance between policy positions of the parties is small relative to the value of forming the government. These conditions hold in games 1, 3, 4 and 5, where subjects played their unique potential-maximizing strategies 91, 52, 82 and 84 percent of the time, respectively. In the remaining game (Game 2) experimental data support the prediction of a minimal winning coalition. Players A and B played their unique potential-maximizing strategies 84 and 86 percent of the time, respectively, and the predicted minimal-winning government formed 92 percent of the time (all strategy choices for player C conform with potential maximization in Game 2). In Games 1, 2, 4 and 5 over 98 percent of the observed Nash equilibrium outcomes were those predicted by potential maximization. Other solution concepts including iterated elimination of dominated strategies and strong/coalition proof Nash equilibrium are also tested.
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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2004.82.
Date of creation: May 2004
Date of revision:
Coalition formation; Potential maximization; Nash equilibrium refinements; Experimental study; Minimal winning;
Other versions of this item:
- Rod Garratt & James E. Parco & Cheng-Zhong Qin & Amnon Rapoport, 2005. "Potential Maximization And Coalition Government Formation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 407-429.
- Garratt, Rod & Qin, Cheng-Zhong, 2000. "Potential Maximization and Coalition Government Formation," University of California at Santa Barbara, Economics Working Paper Series qt2gx2v0qx, Department of Economics, UC Santa Barbara.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative 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-2004-07-18 (All new papers)
- NEP-EXP-2004-07-18 (Experimental Economics)
- NEP-POL-2004-07-18 (Positive Political Economics)
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