Published online by Cambridge University Press: 27 January 2009
The standing of the public choice approach to politics is ambiguous. Most people now accept that there is something in it, even if the ‘something’ is restricted to Arrow's Social Choice and Individual Values, Downs's An Economic Theory of Democracy, Olson's The Logic of Collective Action, and (perhaps) Riker's The Theory of Political Coalitions. The Logic, for instance, is a cult abbreviation propagated by Olson himself but accepted by others. Three new adjectives (Downsian, Arrovian and Olsonian) are now established, although I have not yet found ‘Rikerian’. By analogy (Keynesian, The General Theory), the language seems to denote acceptance. But the seminal works (they are always seminal, as dawn in the Odyssey is always rosy-fingered) came out between 1951 and 1965; so where are their successors? Why have they had relatively little impact on student texts and informed public opinion? In short, what has been going on?
A very great deal, in fact. The first generation proposed bold hypotheses; their successors have put enormous efforts into refining them and proposing new ones, and (unfortunately) rather limited efforts into testing them. There have been four main lines of development. It would be impossible to review all four critically in a single article; therefore I make only fairly brief comments on the first three and devote most of this article to the fourth, which I think is one of the most promising and of the greatest interest to political scientists.
1 Fishburn, P. C., The Theory of Social Choice (Princeton, N.J.: Princeton University Press, 1973)Google Scholar; Plott, C., ‘Axiomatic Social Choice Theory: An Overview and Interpretation’, American Journal of Political Science, XX (1976), 511–96CrossRefGoogle Scholar; Mueller, D. C., Public Choice (Cambridge: Cambridge University Press, 1979)Google Scholar; Sen, A. K., Choice, Welfare and Measurement (Oxford: Blackwell, 1982), pp. 1–38.Google Scholar
2 Dummett, M., Voting Procedures (Oxford: Oxford University Press, 1984)Google Scholar, quoted from dustjacket.
3 Weale, A., ‘Social Choice Versus Populism? An Interpretation of Riker's Political Theory’, British Journal of Political Science, XIV (1984), 369–85.CrossRefGoogle Scholar
4 For formal presentations of this important result see Schofield, N., ‘Instability of Simple Dynamic Games’, Review of Economic Studies, XLIV (1978), 575–94CrossRefGoogle Scholar; McKelvey, R. D., ‘General Conditions for Global Intransitivities in Formal Voting Models’, Econometrica, XLVII (1979), 1085–111.CrossRefGoogle Scholar
5 Downs, A., An Economic Theory of Democracy (New York: Harper & Row, 1957). p. 180.Google Scholar
6 Enelow, J. M. and Hinich, M. J., The Spatial Theory of Voting: An Introduction (Cambridge: Cambridge University Press, 1984)Google Scholar. A briefer and easier presentation is Page, B. I., ‘Elections and Social Choice: The State of the Evidence’, American Journal of Political Science, XXI (1977), 639–68.CrossRefGoogle Scholar
7 Notably by Sen, , Choice, Welfare and Measurement, pp. 327–52.Google Scholar
8 Enelow, and Hinich, , Spatial Theory of Voting, p. 172.Google Scholar
9 Riker, W. H., ‘The Heresthetics of Constitution-Making: The Presidency in 1787, with Comments on Determinism and Rational Choice’, American Political Science Review, LXXVIII (1984), 1–16CrossRefGoogle Scholar; Riker, W. H., Liberalism against Populism (San Francisco: W. H. Freeman, 1982), pp. 169–232.Google Scholar
10 Enelow, and Hinich, , Spatial Theory of Voting, p. 223.Google Scholar
11 Respectively published by University of Chicago Press, 1978 and University of California Press, 1979.
12 For the model see Niskanen, W. A., Bureaucracy and Representative Government (Chicago: Aldine, 1971)Google Scholar; for a test see McGuire, T. C., ‘Budget-Maximizing Governmental Agencies: An Empirical Test’, Public Choice, XXXVI (1981), 313–22CrossRefGoogle Scholar; for purported tests see Borcherding, T. C., ed., Budgets and Bureaucrats (Durham, N.C.: Duke University Press, 1977).Google Scholar
13 Respectively published by Basic Books, New York, 1984; Johns Hopkins University Press, Baltimore. Md, for Resources for the Future, 1982; Yale University Press, New Haven, Conn., 1982; and Cambridge University Press, Cambridge, 1982 (paperback edn University of Chicago Press, 1984).
14 Taylor, M., Anarchy and Co-operation (London: Wiley, 1976), pp. 33–43Google Scholar; Smith, J. Maynard, ‘The Theory of Games and the Evolution of Animal Conflict’, Journal of Theoretical Biology, XLVII (1974), 209–21CrossRefGoogle Scholar; Smith, J. Maynard, Evolution and the Theory of Games (Cambridge: Cambridge University Press, 1982), pp. 202–3CrossRefGoogle Scholar; Axelrod, R., ‘The Emergence of Co-operation among Egoists’, American Political Science Review, LXXV (1981), 306–18.CrossRefGoogle Scholar
15 This qualification is required because a defector pulls down the payoff of each of those with whom she interacts, and hence the average payoff to each member of the population. The body may defeat the infection, but will lose some white cells in the process. See Williams, M. E. and McLean, I., ‘On the Invadability of Tit-for-Tat’, unpublished MS, University College, Oxford, 1985.Google Scholar
16 This condition is not required for an ordinary game to be a PD. In a supergame, however, without this condition alternating CD and DC outcomes may be the equilibrium. Writers on the supergame presumably consider that this game is not ‘really’ PD, and add this condition to exclude the case.
17 The verbal part of the proof is best set out in Smith, Maynard, Evolution and the Theory of Games, p. 203Google Scholar; the algebraic part by Axelrod, , ‘Emergence of Co-operation’, p. 311Google Scholar. For a finite population of size n + 1, including a invaders, the ratios should be w ≥ [n(T – R) + a(R – S)]/[n(T – P) + a(P – S)] and w ≥ [n(T – R) + a(R – S)]/[n(R – S) + a(T – R)] (see Williams, and McLean, , ‘Invadability of Tit-for-Tat’)Google Scholar. For a fuller discussion of the experiment, see my ‘Tit-for-Tat and Ethical Computers’, Politics, 04 1982, pp. 31–5Google Scholar, and Ward, H., ‘A Reply to Iain McLean's Paper’, same issue, pp. 35–6.Google Scholar
18 A useful introduction to kin selection as a problem in non-zero-sum game theory is Dawkins, R., The Selfish Gene (Oxford: Oxford University Press, 1976), Chap. 6.Google Scholar
19 Turnbull, C., The Mountain People (London: Cape, 1972).Google Scholar
20 This argument was originally put forward by John Mackie in a review of Dawkins, 's Selfish GeneGoogle Scholar entitled ‘The Law of the Jungle: Moral Alternatives and Principles of Evolution’, Philosophy, LIII (1978), 455–64.Google Scholar
21 Hardin, , Collective Action, title of Chap. 1.Google Scholar
22 See Akerlof, G., ‘The Market for “Lemons”: Quality Uncertainty and the Market Mechanism’, Quarterly Journal of Economics, LXXXIV (1970), 488–500.CrossRefGoogle Scholar
23 Hardin gives no evidence for this assertion; but there is some in Crenson, M. A., The Unpolitics of Air Pollution (Baltimore, Md: Johns Hopkins University Press, 1971), pp. 12–17.Google Scholar
24 See Schelling, T. C., ‘Hockey Helmets, Concealed Weapons, and Daylight Saving: A Study of Binary Choices with Externalities’, Journal of Conflict Resolution, XVII (1973), 381–428CrossRefGoogle Scholar; Taylor, M. and Ward, H., ‘Chickens, Whales and Lumpy Goods: Alternative Models of Public-Goods Provision’, Political Studies, XXX (1982), 350–70.CrossRefGoogle Scholar
25 Brillan, S., ‘The Economic Contradictions of Democracy’, British Journal of Political Science, IV (1975), 129–59.Google Scholar
26 Brittan, , ‘Economic Contradictions’, p. 130.Google Scholar
27 Margolis does not deal with the witty but ultimately unconvincing attempt by Ferejohn and Fiorina to defend voting by reference to the ‘minimax regret’ principle: Ferejohn, J. and Fiorina, M., ‘The Paradox of Not Voting: A Decision-Theoretic Analysis’, American Political Science Review, LXVIII (1974), 525–36CrossRefGoogle Scholar; but see the various comments on their paper in American Political Science Review, LXIX (1975), 920–8.Google Scholar
28 ‘Goods altruism’ may be a misleading phrase, as the reference is not to others’ goods but to their utility, or happiness. But that raises issues beyond the scope of this review.
29 Margolis, , Selfishness, Altruism, and Rationality (henceforth SAR), p. 38Google Scholar. Note that G′ and S′ are the first derivatives of G and S: they represent marginal and total utilities respectively.
30 Margolis, , SAR, p. 39.Google Scholar
31 Margolis, , SAR, p. 36.Google Scholar
32 Margolis, , SAR, p. 149.Google Scholar
33 Harsanyi, J., ‘Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility’, Journal of Political Economy, LXIII (1955), 309–29CrossRefGoogle Scholar; Goodin, R. E. and Roberts, K. W. S., ‘The Ethical Voter’, American Political Science Review, LXIX (1975), 926–8CrossRefGoogle Scholar; Sen, , Choice, Welfare and Measurement, pp. 84–106.Google Scholar
34 Wilson, J. Q., Political Organizations (New York: Basic Books, 1973)Google Scholar; Fiorina, M. P., Congress: Keystone of the Washington Establishment (New Haven, Conn.: Yale University Press, 1977)Google Scholar; Fenno, R. F. Jr, Home Style: House Members in Their Districts (Boston, Mass.: Little, Brown, 1978)Google Scholar; Crouch, C., Trade Unions: The Logic of Collective Action (London: Fontana, 1982)Google Scholar; Popkin, S., The Rational Peasant: The Political Economy of Rural Society in Vietnam (Berkeley: University of California Press, 1979)Google Scholar; Tufte, E., Political Control of the Economy (Princeton, N.J.: Princeton University Press, 2nd edn 1980)Google Scholar; Brams, S. and Fishburn, P. C., Approval Voting (Boston, Mass.: Birkhauser, 1983).Google Scholar
35 Weale, , ‘Social Choice Versus Populism?’, pp. 374–81.Google Scholar
36 See Jackson, P. M., The Political Economy of Bureaucracy (Deddington, Oxon: Philip Allan, 1982)Google Scholar; Goodin, R. E., ‘Rational Politicians and Rational Bureaucrats’, Public Administration, LX (1982), 23–41.CrossRefGoogle Scholar
37 Gibbard, A., ‘Manipulation of Voting Schemes: A General Result’, Econometrica, XLI (1973), 587–601CrossRefGoogle Scholar; Satterthwaite, M. A., ‘Strategy-Proofness and Arrow's Conditions’, Journal of Economic Theory, X (1975), 187–217CrossRefGoogle Scholar; McKelvey, , ‘Intransitivities in Formal Voting Models’Google Scholar; Schofield, , ‘Instability of Simple Dynamic Games’.Google Scholar
38 Titmuss, R. M., The Gift Relationship: From Human Blood to Social Policy (London: Allen & Unwin, 1970)Google Scholar; Trivers, R. L., ‘The Evolution of Reciprocal Altruism’, Quarterly Review of Biology, XLVI (1971), 35–57CrossRefGoogle Scholar; Wilkinson, G. S., ‘Reciprocal Food Sharing in the Vampire Bat’, Nature, CCCVIII (1984), 181–4.CrossRefGoogle Scholar