Arbeitspapier

On a three-alternative Condorcet jury theorem

We investigate whether the simple plurality rule aggregates information efficiently in a large election with three alternatives. The environment is the same as in the Condorcet Jury Theorem (Condorcet (1785)). Voters have common preferences that depend on the unknown state of nature, and they receive imprecise private signals about the state of nature prior tovoting. With two alternatives and strategic voters, the simple plurality rule aggregates information efficiently in elections with two alternatives (e.g., Myerson (1998)). We show that there always exists an efficient equilibrium under the simple plurality rule when there are three alternatives as well. We characterize the set of inefficient equilibria with two alternatives and the condition under which they exist. There is only one type of inefficient equilibrium with two alternatives. In this equilibrium, voters vote unresponsively because they all vote for the same alternative. Under the same condition, the same type of equilibrium exists with three alternatives. However, we show that the number and types of coordination failures increase with three alternatives, and that this leads to the existence of other types of inefficient equilibria as well, including those in which voters vote informatively.

Language
Englisch

Bibliographic citation
Series: CESifo Working Paper ; No. 3457

Classification
Wirtschaft
Noncooperative Games
Social Choice; Clubs; Committees; Associations
Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
Asymmetric and Private Information; Mechanism Design
Subject
efficient information aggregation
simple plurality rule
Poisson games
Condorcet Jury Theorem
Abstimmungsregel
Information
Aggregation
Gleichgewicht
Spieltheorie
Wirtschaftliche Effizienz
Theorie

Event
Geistige Schöpfung
(who)
Goertz, Johanna M. M.
Maniquet, François
Event
Veröffentlichung
(who)
Center for Economic Studies and ifo Institute (CESifo)
(where)
Munich
(when)
2011

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Goertz, Johanna M. M.
  • Maniquet, François
  • Center for Economic Studies and ifo Institute (CESifo)

Time of origin

  • 2011

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