Abstract
n this paper, we show how monads and substitutions allows for a separation between social choice and social ‘choosing’. Choice as value and choosing as operation is modeled using underlying signatures and related term monads. These monads are arranged over Goguen’s category Set(L), which provides the internalization of uncertainty both in choice as well as choosing.
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Arrow, K.J.: Social choice and individual values. Wiley, New York (1951)
Bandyopadhyay, T.: Choice procedures and rational selections. Annals of Operations Research 80, 49–66 (1980)
Bandyopadhyay, T.: Choice procedures and power structure in social decisions. Social Choice and Welfare 37(4), 597–608 (2011)
de Borda, J.C.: Memoire sur les Elections au Scrutin. Histoire de l’Academie Royale des Sciences, Paris (1781)
Condorcet, N.: Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix. Imprimerie royale, Paris, France (1785)
Eklund, P., Fedrizzi, M., Nurmi, H.: A categorical approach to the extension of social choice functions. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. CCIS, vol. 81, pp. 261–270. Springer, Heidelberg (2010)
Eklund, P., Helgesson, R.: Monadic extensions of institutions. Fuzzy Sets and Systems 161(18), 2354–2368 (2010); A tribute to Ulrich Höhle on the occasion of his 65th birthday
Eklund, P., Rusinowska, A., de Swart, H.C.M.: Consensus reaching in committees. European Journal of Operational Research 178(1), 185–193 (2007)
Eklund, P., Rusinowska, A., de Swart, H.C.M.: A consensus model of political decision-making. Annals of Operations Research 158(1), 5–20 (2008)
Eliaz, K.: Social aggregators. Social Choice and Welfare 22, 317–330 (2004)
Keiding, H.: The categorical approach to social choice theory. Mathematical Social Sciences 1(2), 177–191 (1981)
Mill, J.S.: Principles of Political Economy with some of their Applications to Social Philosophy, 7th edn. Longmans, Green and Co., London (1909)
Neumann, J., Morgenstern, O.: Theory of games and economic behavior, 3rd edn. Princeton University Press, Princeton (1953)
Sen, A.: The Possibility of Social Choice. American Economic Review 89, 349–378 (1999)
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Eklund, P., Fedrizzi, M., Helgesson, R. (2013). Monadic Social Choice. In: Ventre, A., Maturo, A., Hošková-Mayerová, Š., Kacprzyk, J. (eds) Multicriteria and Multiagent Decision Making with Applications to Economics and Social Sciences. Studies in Fuzziness and Soft Computing, vol 305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35635-3_12
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DOI: https://doi.org/10.1007/978-3-642-35635-3_12
Publisher Name: Springer, Berlin, Heidelberg
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