Analytical expression of the expected values of capital at voting in the stochastic environment
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In the simplest variant of the model of collective decision making in the stochastic environment, the participants were segregated into egoists and a group of collectivists. “Proposal of the environment” is the stochastically generated vector of algebraic increments of capitals. The social dynamics was defined by the sequence of proposals accepted by threshold-majority voting. Analytical expressions of the expected values of the capitals of participants, collectivists and egoists were obtained. Distinctions of some principles of group voting were discussed.
PACS number89.65.-s 89.65.Ef
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- 1.Mirkin, B.G., Problema gruppovogo vybora (Problem of Group Choice), Moscow: Nauka, 1974.Google Scholar
- 3.Aizerman, M.A., Dynamic Aspects of the Voting Theory (Review of the Problem), Avtom. Telemekh., 1981, no. 12, pp. 103–118.Google Scholar
- 4.Enelow, J.M. and Hinich, M.J., The Spatial Theory of Voting, Cambridge: Cambridge Univ. Press, 1984.Google Scholar
- 5.Margolis, H., Selfishness, Altruism and Rationality: A Theory of Social Choice, Cambridge: Cambridge Univ. Press, 1982.Google Scholar
- 6.Levine, D.K., Modeling Altruism and Spitefulness in Experiments, Rev. Econom. Dynam., 1998, vol. 1, pp. 593–622.Google Scholar
- 7.Lindenberg, S., Social Rationality Versus Rational Egoism, in Handbook of Sociological Theory, Turner, J., Ed., New York: Kluwer, 2001, pp. 635–668.Google Scholar
- 8.Romer, T., Individual Welfare, Majority Voting, and the Properties of the Linear Income Tax, J. Public Econom., 1975, vol. 4, pp. 163–185.Google Scholar
- 9.Roberts, K.W.S., Voting over Income Tax Schedules, J. Public Econom., 1977, vol. 8, pp. 329–340.Google Scholar
- 10.Kranich, L., Altruism and the Political Economy of Income Taxation, J. Public Econom. Theory., 2001, vol. 3, no. 3, pp. 455–469.Google Scholar
- 11.Galasso, V. and Profeta, P., The Political Economy of Social Security: A Survey, Eur. J. Political Economy, 2002, vol. 18, no. 1, pp. 1–29.Google Scholar
- 12.Chebotarev, P.Yu., Borzenko, V.I., Lezina, Z.M., et al., Strategies of Voting in Stochastic Environment: Egoism and Collectivism, Avtom. Telemekh., 2006, no. 2, pp. 154–174.Google Scholar