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7 - Epilogue

Published online by Cambridge University Press:  05 November 2011

Peter J. Coughlin
Affiliation:
University of Maryland
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Summary

My objective here is to step back from the detailed analyses in Chapters 2–6 and provide a useful perspective on what was accomplished. Specifically, I discuss the broad significance of the results that have been established, focusing on (i) the existence of political equilibria, (ii) the maximization of implicit social welfare functions by these equilibria, (iii) normative interpretations of the implicit social welfare maxima, and (iv) this book's potential for providing the basis for future applications of election models.

Political equilibria

Stigler (1975, pp. 138–9; 1983, pp. 262–4), Peltzman (1976,1980), Becker (1983, 1985), and scholars who have applied their models of the public sector, such as Roberts (1984, 1985) and Godek (1985, 1986), have had faith that political equilibria exist. They have therefore simply assumed that a political equilibrium exists, even though, in their analyses, they have neither referred to any existing models nor specified any new models from which this important assumption can be derived.

The election models with abstentions that have been developed by Hinich, Ordeshook, and others (discussed in Section 1.5) are multidimensional models in which equilibrium existence results have previously been derived. The role that abstentions played in the derivation of existence results for these models was described by Hinich et al. (1972) as follows: “We show… that if citizens abstain in a prescribed manner, an electoral equilibrium exists… Thus, abstentions yield a majority choice” (p. 145).

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Publisher: Cambridge University Press
Print publication year: 1992

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  • Epilogue
  • Peter J. Coughlin, University of Maryland
  • Book: Probabilistic Voting Theory
  • Online publication: 05 November 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511895395.007
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  • Epilogue
  • Peter J. Coughlin, University of Maryland
  • Book: Probabilistic Voting Theory
  • Online publication: 05 November 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511895395.007
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Epilogue
  • Peter J. Coughlin, University of Maryland
  • Book: Probabilistic Voting Theory
  • Online publication: 05 November 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511895395.007
Available formats
×