An optimal Voting System when Voting is costly

Bognar, Katalin and Börgers, Tilman and Meyer-ter-Vehn, Moritz (2010): An optimal Voting System when Voting is costly.

Abstract

We consider the design of an optimal voting system when voting is costly. For a private values model with two alternatives we show the optimality of a voting system that combines three elements: (i) there is an arbitrarily chosen default decision and non-participation is interpreted as a vote in favor of the default; (ii) voting is sequential; (iii) not all voters are invited to participate in the vote. We show the optimality of such a voting system by first arguing that it is first best, that is, it maximizes welfare when incentive compatibility constraints are ignored, and then showing that individual incentives and social welfare are sufficiently aligned to make the first best system incentive compatible. The analysis in this paper involves some methods that are new to the theory of mechanism design, and it is also a purpose of this paper to explore these new methods.

• Item Type: MPRA Paper
• Language: English
• Keywords: Voting; mechanism design; committees.
• Subjects: D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General

References

Dirk Bergemann and Juuso Välimäki (2002), "Information Acquisition and Efficient Mechanism Design," Econometrica 70, 1007-1033.

Dirk Bergemann and JJuuso Välimäki (2006), "Information in Mechanism Design," in: Richard Blundell, Whitney Newey and Torsten Persson (eds.), Proceedings of the 9th World Congress of the Econometric Society, Cambridge: Cambridge University Press, 186-221.

Tilman Börgers (2004), "Costly Voting," American Economic Review 94, 57-66.

Gorkem Celik and Okan Yilankaya (2009), "Optimal Auctions With Simultaneous and Costly Participation," The B. E. Journal of Theoretical Economics (Advances) 9, Article 24.

Ronald Fadel and Ilya Segal (2009), "The Communication Costs of Selfishness," Journal of Economic Theory 144, 1895-1920.

Alex Gershkov and Balazs Szentes (2009), "Optimal Voting Schemes With Costly Information Acquisition," Journal of Economic Theory 144, 36-68.

Sayantan Ghosal and Ben Lockwood (2009), "Costly Voting When Both Information And Preferences Differ: Is Turnout too High or too Low?," Social Choice and Welfare 33, 25-50.

Stefan Krasa and Mattias Polborn (2009), "Is Mandatory Voting Better Than Voluntary Voting?," Games and Economic Behavior 66, 275-291.

Roger B. Myerson (1986), "Multistage Games With Communication," Econometrica 56, 323-358.

Martin Osborne and Ariel Rubinstein (1994), A Course in Game Theory, Cambridge (MA): The MIT Press.

Roman Pancs (2010), "Optimal Information Disclosure in Sequential Negotiations with Costly Information Acquisition," University of Rochester.

Mark Stegeman (1996), "Participation Costs and Efficient Auctions," Journal of Economic Theory 71, 228-259.