Asked by De quoi tu as besoin on May 19, 2024

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If preferences are single peaked, then pairwise majority voting among alternative options will not lead to voting cycles.

Pairwise Majority Voting

A voting system where each option is matched against every other option in separate votes, and the one winning the most matches is chosen.

Single Peaked

A term used to describe preferences or utility functions that increase to a highest point (the peak) and then decrease, indicating a clear optimal choice or outcome.

Voting Cycles

Repeated patterns of preference changes among voters or decision-makers, leading to inconsistencies in collective decisions.

  • Assess how single-peaked preferences impact the provision of public goods and the making of decisions collectively.
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PK
Prajil KottoorMay 23, 2024
Final Answer :
True
Explanation :
Single peaked preferences means that each voter has a clear preference for an alternative, and as preferences move away from that preferred option, the voter's preference weakens. This leads to a single peak in the preference distribution. In such a scenario, pairwise majority voting will always converge towards the most preferred alternative, eliminating the possibility of voting cycles.