Abstract
I will first argue that a full solution theory for non-co-operative games requires several levels of analysis — the self-enforcing aspect (‘equilibrium’) being only the first of them, and that each of those levels has its own invariance (‘context-independence’) requirements. Of those different levels, only the first is more or less well understood.
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References
Arrow, K. J. (1951) Social Choice and Individual Values (New York: Wiley).
Arrow, K. J. (1963) Social Choice and Individual Values (New York: Wiley) 2nd edn.
Austen-Smith, D. (1979) ‘Fair Rights’, Economics Letters, vol. 4, pp. 29–32.
Austen-Smith, D. (1982) ‘Restricted Pareto and Rights’, Journal of Economic Theory, vol. 26, pp. 89–99.
Barnes, J. (1980) ‘Freedom, Rationality, and Paradox’, Canadian Journal of Philosophy, vol. 10, pp. 545–65.
Barry, B. (1986) ‘Lady Chatterley’s Lover and Doctor Fisher’s Bomb Party: Liberalism, Pareto Optimality, and the Problem of Objectionable Preferences’, in J. Elster and A. Hylland (eds) Foundations of Social Choice Theory, (Cambridge: Cambridge University Press) pp. 11–43.
Basu, K. (1984) ‘The Rights to Give up Rights’, Economica, vol. 15, pp. 413–22.
Batra, R. N. and Pattanaik, P. K. (1972) ‘On Some Suggestions for Having Non-Binary Social Choice Functions’, Theory and Decision, vol. 3, pp. 1–11.
Bergson, A. (1954) ‘On the Concept of Social Welfare’, Quarterly Journal of Economics, vol. 68, pp. 233–52.
Berlin, I. (1969) Four Essays on Liberty (Oxford: Clarendon Press).
Bernholz, P. (1974) ‘Is a Paretian Liberal Really Impossible?’, Public Choice, vol. 20, pp. 99–107.
Bernholz, P. (1975) ‘Is a Paretian Liberal Impossible: A Rejoinder’, Public Choice, vol. 23, pp. 69–73.
Blau, J. H. (1975) ‘Liberal Values and Independence’, Review of Economic Studies, vol. 42, pp. 395–102.
Breyer, F. and Gardner, G. (1980) ‘Liberal Paradox, Game Equilibrium, and Gibbard Optimum’, Public Choice, vol. 35, pp. 469–81.
Buchanan, J. (1976) ‘An Ambiguity in Sen’s Alleged Proof of the Impossibility of the Paretian Liberal’, mimeograph, Virginia Polytechnic Institute and State University.
Chapman, B. (1983) ‘Rights as Constraints: Nozick Versus Sen’, Theory and Decision, vol. 15, pp. 1–10.
Coughlin, P. J. (1986) ‘Rights and the Private Pareto Principle’, Economica, vol. 53, pp. 303–20.
Dasgupta, P. (1980) ‘Decentralization and Rights’, Economica, vol. 47, pp. 107–23.
Dworkin, R. (1978) Taking Rights Seriously (London: Duckworth).
Farrell, M. J. (1976) ‘Liberalism in the Theory of Social Choice’, Review of Economic Studies, vol. 43, pp. 3–10.
Feinberg, J. (1980) Rights, Justice, and the Bounds of Liberty (Princeton: Princeton University Press). Foley, D. K. (1967) ‘Resource Allocation and the Public Sector’, Yale Economic Essays, vol. 7, pp. 45–98. Gaertner, W. (1982) ‘Envy-Free Rights Assignments and Self-Oriented Preferences’, Mathematical Social Sciences, vol. 2, pp. 199–208.
Gaertner, W. and Kruger, L. (1981) ‘Self-Supporting Preferences and Individual Rights: the Possibility of Paretian Liberalism, Economica, vol. 48, pp. 17–28.
Gaertner, W., Pattanaik, P. K. and Suzumura, K. (1988) ‘Individual Rights Revisited’, mimeograph. Hitotsubashi University.
Gardenfors, P. (1981) ‘Rights, Games and Social Choice’, Nous, vol. 15, pp. 341–56.
Gibbard, A. (1973) ‘Manipulation of Voting Schemes: A General Result’, Econometrica, vol. 41, pp. 587–601.
Gibbard, A. (1974) ‘A Pareto Consistent Libertarian Claim’, Journal of Economic Theory, vol. 7, pp. 388–410.
Gibbard, A. (1982) ‘Rights and the Theory of Social Choice’ in L. J. Cohen, J. Los, H. Pfeifer and K.-P. Podewski (eds) Logic, Methodology and Philosophy of Science (Amsterdam: North Holland) pp. 595–605.
Gray, J. (1984) Hayek on Liberty (Oxford: Basil Blackwell).
Hammond, P. J. (1982) ‘Liberalism, Independence Rights and the Pareto Principle’, in Cohen, et al. (eds) Logic, Methodology and Philosophy of Science, pp. 607–20.
Hansson, S. O. (1988) ‘Rights and the Liberal Paradoxes’, Social Choice and Welfare, vol. 91.5, pp., 287–302.
Harel, A. and Nitzan, S. (1987) ‘The Libertarian Resolution of the Paretian Liberal Paradox’, Zeitschrift für Nationalokonomie, vol. 47, pp. 337–52.
Hayek, F. A. von (1960) The Constitution of Liberty (London: Routledge & Kegan Paul).
Hayek, F. A. von (1973) Rules and Order, vol. 1 of Law, Legislation and Liberty (Chicago: University of Chicago Press).
Hohfeld, W. N. (1919) Fundamental Legal Conceptions as Applied in Judicial Reasoning (New Haven: Yale University Press).
Kanger, S. and Kanger, H. (1972) ‘Rights and Parliamentalism’ in R. E. Olson, and A. M. Paul (eds) in Contemporary Philosophy in Scandinavia, (Baltimore: Johns Hopkins Press) pp. 213–36.
Kelly, J. S. (1976) ‘The Impossibility of a Just Liberal’, Economica, vol. 43, pp. 67–76.
Kelly, J. S. (1976a) ‘Rights Exercising and a Pareto-Consistent Libertarian Claim’, Journal of Economic Theory, vol. 13, pp. 138–53.
Kelly, J. S. (1987) ‘An Interview with Kenneth J. Arrow’, Social Choice and Welfare, vol. 4, pp. 43–62.
Kelsey, D. (1985) ‘The Liberal Paradox: A Generalization’, Social Choice and Welfare, vol. 1, pp. 245–50.
Kelsey, D. (1988) ‘What is Responsible for the “Paretian Epidemic”?’, Social Choice and Welfare, vol. 5, pp. 303–6.
Kornai, J. (1988) ‘Individual Freedom and Reform of the Socialist Economy’, European Economic Review, vol. 32, pp. 233–67.
Levi, I. (1982) ‘Liberty and Welfare’, in A. Sen and S. Williams (eds) Utilitarianism and Beyond (Cambridge: Cambridge University Press) pp. 239–49.
Lindbeck, A. (1988) ‘Individual Freedom and Welfare State Policy’, European Economic Review, vol. 32, pp. 295–318.
Mill, J. S. (1859) On Liberty, reprinted in M. Warnock (ed.) Utilitarianism (London: Fontana, 1973).
Nozick, R. (1974) Anarchy, State and Utopia (Oxford: Basil Blackwell).
Plott, C. R. (1976) ‘Axiomatic Social Choice Theory: An Overview and Interpretation’, American Journal of Political Science, vol. 20, pp. 511–96.
Rawls, J. (1971) A Theory of Justice (Cambridge, Massachusetts: Harvard University Press).
Riley, J. M. (1986) ‘Generalized Social Welfare Functionals: Welfarism, Morality and Liberty’, Social Choice and Welfare, vol. 3, pp. 233–54.
Robbins, L. (1961) ‘Hayek on Liberty’, Economica, vol. 28, pp. 66–81.
Rousseau, J. J. (1754) Discours sur Vorigine de Vinegalite parmi les hommes, English translation by L. G. Crocker, Discourse on the Origin and Foundation of Inequality among Mankind (New York: Washington Square Press, 1964).
Rowley, C. K. (1978) ‘Liberalism and Collective Choice: A Return to Reality?’, Manchester School of Economic and Social Studies, vol. 46, pp. 224–51.
Seidl, C. (1975) ‘On Liberal Values’, Zeitschrift fürNationalokonomie, vol. 35, pp. 257–92.
Sen, A. K. (1970a) Collective Choice and Social Welfare (San Francisco: Holden-Day, and Edinburgh: Oliver & Boyd).
Sen, A. K. (1970b) ‘The Impossibility of a Paretian Liberal’, Journal of Political Economy, vol. 78, pp. 152–7.
Sen, A. K. (1975) ‘Is a Paretian Liberal Really Impossible: A Reply’, Public Choice, vol. 21, pp. 111–13.
Sen, A. K. (1976) ‘Liberty, Unanimity and Rights’, Economica, vol. 43, pp. 217–45.
Sen, A. K. (1977a) ‘Social Choice Theory: A Re-Examination’, Econo-metrica, vol. 45, pp. 53–89.
Sen, A. K. (1977b) ‘On Weights and Measures: Informational Constraints in Social Welfare Analysis’, Econometrica, vol. 45, pp. 1539–73.
Sen, A. K. (1979) ‘Personal Utilities and Public Judgements: Or What’s Wrong with Welfare Economies’, Economic Journal, vol. 89, pp. 537–58.
Sen, A. K. (1981) ‘Rights and Agency’, Philosophy and Public Affairs, vol. 11, pp. 3–39.
Sen, A. K. (1982) ‘Liberty as Control: An Appraisal’, Midwest Studies in Philosophy, vol. 7, pp. 207–21.
Sen, A. K. (1983) ‘Liberty and Social Choice’, Journal of Philosophy, vol. 80, pp. 5–28.
Sen, A. K. (1985a) ‘Well-Being, Agency and Freedom: The Deway Lecture 1984’, Journal of Philosophy, vol. 82, pp. 169–221.
Sen, A. K. (1985b) Commodities and Capabilities (Amsterdam: North-Holland).
Sen, A. K. (1986) ‘Foundation of Social Choice Theory: An Epilogue’ in J. Elster and A. Hylland (eds) Foundations of Social Choice Theory (Cambridge: Cambridge University Press) pp. 213–48.
Sen, A. K. (1988) ‘Freedom of Choice: Concept and Content’, European Economic Review, vol. 32, pp. 269–94.
Sugden, R. (1978) ‘Social Choice and Individual Liberty’ in M. Artis, and A. R. Nobay (eds) Contemporary Economic Analysis (London: Croom Helm) pp. 243–71.
Sugden, R. (1985) ‘Liberty, Preference, and Choice’, Economics and Philosophy, vol. 1, pp. 213–29.
Suzumura, K. (1978) ‘On the Consistency of Libertarian Claims’, Review of Economic Studies, vol. 45, pp. 329–42.
Suzumura, K. (1979) ‘On the Consistency of Libertarian Claims: A Correction’, Review of Economic Studies, vol. 46, p. 743.
Suzumura, K. (1980) ‘Liberal Paradox and the Voluntary Exchange of Rights Exercising’, Journal of Economic Theory, vol. 22, pp. 407–22.
Suzumura, K. (1982) ‘Equity, Efficiency and Rights in Social Choice’, Mathematical Social Sciences, vol. 3, pp. 131–55.
Suzumura, K. (1983) Rational Choice, Collective Decisions, and Social Welfare (Cambridge: Cambridge University Press).
Suzumura, K. (1989) Can Pareto Libertarian Paradox be Resolved by Voluntary Exchange of Libertarian Rights? Murphy Institute of Political Economy, Tulane University.
Suzumura, K. and Suga, K. (1986) ‘Gibbardian Libertarian Claims Revisited’, Social Choice and Welfare, vol. 3, pp. 61–74.
Thomson, W. and Varian, H. R. (1985) ‘Theories of Justice Based on Symmetry’, in L. Hurwicz, D. Schmeidler, and H. Sonnenschein (eds) Social Goals and Social Organization (Cambridge: Cambridge University Press) pp. 297–307.
Varian, H. R. (1974) ‘Equity, Envy and Efficiency’, Journal of Economic Theory, vol. 9, pp. 64–91.
Wriglesworth, J. L. (1982) ‘Using Justice Principles to Resolve the “Impossibility of a Paretian Liberal”‘, Economics Letters, vol. 10, pp. 217–21.
Wriglesworth, J. L. (1985) ‘Respecting Individual Rights in Social Choice’, Oxford Economic Papers, vol. 37, pp. 100–17.
Wriglesworth, J. L. (1985a) Libertarian Conflicts in Social Choice (Cambridge: Cambridge University Press).
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© 1991 International Economic Association
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Mertens, JF. (1991). Equilibrium and Rationality: Context and History-Dependence. In: Arrow, K.J. (eds) Issues in Contemporary Economics. International Economic Association Series. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-11573-0_13
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