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  • Social Choice and Welfare

Assent-maximizing Social Choice

By: Katherine A. Baldiga and Jerry R. Green
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Abstract

We take a decision theoretic approach to the classic social choice problem, using data on the frequency of choice problems to compute social choice functions. We define a family of social choice rules that depend on the population's preferences and on the probability distribution over the sets of feasible alternatives that the society will face. Our methods generalize the well-known Kemeny Rule. In the Kemeny Rule, it is known a priori that the subset of feasible alternatives will be a pair. We define a distinct social choice function for each distribution over the feasible subsets. Our rules can be interpreted as distance minimization—selecting the order closest to the population's preferences, using a metric on the orders that reflects the distribution over the possible feasible sets. The distance is the probability that two orders will disagree about the optimal choice from a randomly selected available set. We provide an algorithmic method to compute these metrics in the case where the probability of a given feasible set is a function only of its cardinality.

Keywords

Decision Choices and Conditions; Theory; Measurement and Metrics; Mathematical Methods; Society

Citation

Baldiga, Katherine A., and Jerry R. Green. "Assent-maximizing Social Choice." Social Choice and Welfare 40, no. 2 (February 2013): 439–460.
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About The Authors

Katherine B. Coffman

Negotiation, Organizations & Markets
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Jerry R. Green

Negotiation, Organizations & Markets
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More from the Authors
  • Inclusion and Diversity at Mars Petcare By: Katherine Coffman and Tom Quinn
  • Two Representations of Information Structures and Their Comparisons By: Jerry R. Green and Nancy L. Stokey
  • Imagining the Future: Memory, Simulation and Beliefs about COVID By: Pedro Bordalo, Giovanni Burro, Katherine B. Coffman, Nicola Gennaioli and Andrei Shleifer
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