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Potential Maximization and Coalition Government Formation

Potential maximization and coalition government formation
Authors: Garratt, R.; Parco, J.E.; Qin, C.Z.; Rapoport, A.;

Potential Maximization and Coalition Government Formation

Abstract

A 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 weakly dominated strategies and strong/coalition-proof Nash equilibrium are also tested.

Country
China (People's Republic of)
Keywords

Coalition formation, Test, minimal winning, 330, C72, JEL Classification: C78, JEL Classification: D72 [Coalition formation, potential maximization, Nash equilibrium refinements, experimental study, minimal winning, JEL Classification], Experimental studies, Nash equilibrium refinements, C72, D72, Cooperative games, C78, Potential maximization, Experimental study, Regierungskoalition, ddc:330, Nash-Gleichgewicht, Regierungswechsel, Minimal winning, Coalition formation, Potential maximization, Nash equilibrium refinements, Experimental study, Minimal winning, jel: jel:C0, jel: jel:C6, jel: jel:C7, jel: jel:C72, jel: jel:D72, jel: jel:C78, jel: jel:M2, jel: jel:D5, jel: jel:B4, jel: jel:D7

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze