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Majority voting leads to unanimity

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Abstract

We consider a situation where society decides, through majority voting in a secret ballot, between the alternatives of ‘reform’ and ‘status quo’. Reform is assumed to create a minority of winners, while being efficient in the Kaldor–Hicks sense. We explore the consequences of allowing binding transfers between voters conditional on the chosen alternative. In particular, we establish conditions under which the winners wish to compensate all losers, thus leading to unanimity for reform, rather than compensating some losers to form a non-maximal majority. The analysis employs concepts from cooperative game theory.

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References

  • Angell A, Graham C (1995) Can social sector reform make adjustment sustainable and equitable? J Latin Am Stud 27:189–219

    Article  Google Scholar 

  • Aumann R (1987) Game theory. In: Eatwell J, Milgate M, Newman P (eds) The new Palgrave: a dictionary of economics. Macmillan Press, London and Basingstoke, pp 460–482

    Google Scholar 

  • Axelrod R (1970) Conflict of interest. Markham, Chicago

    Google Scholar 

  • Banks JS (2000) Buying supermajorities in finite legislatures. Am Polit Sci Rev 94:677–681

    Article  Google Scholar 

  • Baron DP (2001) Theories of strategic nonmarket participation: majority-rule and executive institutions. J Econ Manage Strategy 10:47–89

    Article  Google Scholar 

  • Baron DP, Ferejohn J (1989) Bargaining in legislatures. Am Polit Sci Rev 83:1181–1206

    Article  Google Scholar 

  • Brams SJ, Fishburn P (1995) When is size a liability? Bargaining power in minimal winning coalitions. J Theoret Polit 7:301–316

    Google Scholar 

  • Brams SJ, Jones MA, Kilgour DM (2005) Forming stable coalitions: the process matters. Public Choice 125:67–94

    Article  Google Scholar 

  • Browne E (1993) Coalition theories: a logical and empirical critique. Sage, London

    Google Scholar 

  • Claussen CA (2002) On the dynamic consistency of reform and compensation schemes. J Policy Reform 5:133–144

    Article  Google Scholar 

  • Dewatripont M, Roland G (1997) Transition as a process of large-scale institutional change. In: Kreps DM, Wallis KF (eds) Advances in economics and econometrics: theory and applications: 7th world congress vol 2. Econometric society monographs, no. 27. Cambridge University Press, Cambridge, UK, pp 240–278

    Google Scholar 

  • Edwards S, Lederman D (2002) The political economy of unilateral trade liberalization: the case of Chile. In: Bhagwati J (ed) Going alone: the case for relaxed reciprocity in freeing trade. MIT Press, Cambridge, MA, pp 337–393

    Google Scholar 

  • Fishburn P, Brams SJ (1996) Minimal winning coalitions in weighted-majority voting games. Soc Choice Welf 13:397–417

    Article  Google Scholar 

  • Greenberg J (1990) The theory of social situations. Cambridge University Press, Cambridge, UK

    Google Scholar 

  • Groseclose T, Snyder JM (1996) Buying supermajorities. Am Polit Sci Rev 90:303–315

    Article  Google Scholar 

  • Groseclose T, Snyder JM (2000) Vote buying, supermajorities, and flooded coalitions. Am Polit Sci Rev 94:683–684

    Article  Google Scholar 

  • Grossman GM, Helpman E (2001) Special interest politics. MIT Press, Cambridge, MA

    Google Scholar 

  • Haggard S, Webb S (1994) Voting for reform: democracy, political liberalization and economic adjustment. Oxford University Press, New York

    Google Scholar 

  • Jain S, Mukand SW (2003) Redistributive promises and the adoption of economic reform. Am Econ Rev 93:256–264

    Article  Google Scholar 

  • Lau LJ, Qian Y, Roland G (2000) Reform without losers: an interpretation of China’s dual-track approach to transition. J Polit Econ 108:120–143

    Article  Google Scholar 

  • Riker WH (1962) The theory of political coalitions. Yale University Press, New Haven

    Google Scholar 

  • Saint-Paul G (1993) On the political economy of labor market flexibility. In: Blanchard OJ, Fischer S (eds) NBER Macroeconomics Annual 1993. MIT Press, Cambridge, MA, pp 151–187

    Google Scholar 

  • Volden C, Carrubba CJ (2004) The formation of oversized coalitions in parliamentary democracies. Am J Polit Sci 48:521–537

    Article  Google Scholar 

  • von Neumann J, Morgenstern O (1947) The theory of games and economic behavior. Princeton University Press, Princeton

    Google Scholar 

  • Weyland K (1998) Swallowing the bitter pill: sources of popular support for neoliberal reform in Latin America. Comp Polit Stud 31:539–568

    Google Scholar 

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Correspondence to Geir B. Asheim.

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Asheim, G.B., Claussen, C.A. & Nilssen, T. Majority voting leads to unanimity. Int J Game Theory 35, 91–110 (2006). https://doi.org/10.1007/s00182-006-0042-5

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  • DOI: https://doi.org/10.1007/s00182-006-0042-5

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