Abstract
We introduce a notion of conditionally decisive powers the exercise of which depends on social consent. Decisive powers, or the so-called libertarian rights, are examples and much weaker forms of powers are covered by our notion. We provide an axiomatic characterization of existence of a system of powers and its uniqueness as well as characterizations of various families of rules represented by systems of powers. Critical axioms are monotonicity, independence and symmetric linkage (person i and i’s issues should be treated symmetrically to person j and j’s issues for at least one linkage between issues and persons).
Similar content being viewed by others
References
Banzhaf JF (1965) Weighted voting doesn’t work: a mathematical analysis. Rutgers Law Rev 19: 317–343
Blau JH (1975) Liberal values and independence. Rev Econ Stud 42: 395–402
Bruins J (1999) Social power and influence tactics: a theoretical introduction. J Soc Issues 55: 7–14
Deb R, Pattanaik PK, Razzolini L (1997) Game forms, rights, and the efficiency of social outcomes. J Econ Theory 72: 74–95
French JRP Jr., Raven BH (1959) The bases of social power. In: Cartwright D(eds) Studies in social power. Institute for Social Research, Ann Arbor, MI, pp 150–167
Gaertner W, Pattanaik PK, Suzumura K (1992) Individual rights revisited. Economica 59(234): 161–177
Gibbard A (1974) A Pareto-consistent libertarian claim. J Econ Theory 7: 388–410
Ju B-G (2003) A characterization strategy-proof voting rules for separable weak orderings. Soc Choice Welf 21(3): 469–499
Ju B-G (2007) Individual powers and social consent: sen's paradox reconsidered. Korea University, Working Paper
Kasher A, Rubinstein A (1997) On the question ‘Who is a j’, a social choice approach. Logique et Anal 160: 385–395
Miller AD (2008) Group identification. Games Econ Behav 63: 188–202
May KO (1952) A set of independent necessary and sufficient conditions for simple majority decision. Econometrica 20(4): 680–684
Murakami Y (1966) Formal structure of majority decision. Econometrica 34(3): 709–718
Murakami Y (1968) Logic and social choice. Routledge, London
Raven BH (1965) Social influence and power. In: Steiner ID, Fishbein M(eds) Current studies in social psychology. Wiley, New York, pp 399–444
Raven BH (1992) A power/interaction model of interpersonal influence: French and Raven thirty years later. J Soc Behav Pers 7: 217–244
Rubinstein A, Fishburn PC (1986) Algebraic aggregation theory. J Econ Theory 38: 63–77
Samet D, Schmeidler D (2003) Between liberalism and democracy. J Econ Theory 110(2): 213–233
Sen AK (1970) The impossibility of a Paretian Liberal. J Polit Econ 78: 152–157
Sen AK (1976) Liberty, unanimity and rights. Economica 43: 217–245
Sen AK (1983) Liberty and social choice. J Philos 80(1): 5–28
Shapley LS, Shubik M (1954) A method for evaluating the distribution of power in a committee system. Am Polit Sci Rev 48: 787–792
Straffin PD (1994) Power and stability in politics, Chapter 32. In: Aumann RJ, Hart S(eds) Handbook of game theory, vol 2. North-Holland, Amsterdam
Thomson W (2001) On the axiomatic method and its recent applications to game theory and resource allocation. Soc Choice Welf 18: 327–386
Author information
Authors and Affiliations
Corresponding author
Additional information
I am grateful to the two anonymous referees for their comments and suggestions. I am indebted to Christopher Chambers and Yongsheng Xu for their very detailed comments and numerous suggestions on the earlier version of this paper. They were essential for the development of the paper into the current version. I also thank Carsten Nielsen for his comments and discussion on the theories of rights and related literature. All remaining errors are mine.
Rights and permissions
About this article
Cite this article
Ju, BG. Individual powers and social consent: an axiomatic approach. Soc Choice Welf 34, 571–596 (2010). https://doi.org/10.1007/s00355-009-0418-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00355-009-0418-0