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Interdependent Preferences and Groups of Agents

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  • Stanley Reiter

Abstract

An individual's preferences are assumed to be malleable and may be influenced by the preferences of others. Mutual interaction among individuals whose preferences are interdependent powers a dynamic process in which preference profiles evolve over time. Two formulations of the dynamic process are presented. One is an abstract model in which the iteration of a mapping from profiles to profiles defines a discrete time dynamic process; the other is a linear discrete time process specified in more detail. Examples motivate the model and illustrate its application. Conditions are given for the existence of a stable preference profile—a rest point of the dynamic process. A stable profile is naturally associated with a division, not in general unique, of the set of agents into subgroups with the property that preference interdependencies within a subgroup are “stronger” than those across subgroups. The conventional case in which each agent's preference relation is exogenously given is, in this model, the special case where each subgroup consists of just one agent.
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Suggested Citation

  • Stanley Reiter, 1998. "Interdependent Preferences and Groups of Agents," Discussion Papers 1217, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1217
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    1. Gibbard, Allan, 1974. "A Pareto-consistent libertarian claim," Journal of Economic Theory, Elsevier, vol. 7(4), pages 388-410, April.
    2. Lindbeck, Assar & Weibull, Jorgen W, 1988. "Altruism and Time Consistency: The Economics of Fait Accompli," Journal of Political Economy, University of Chicago Press, vol. 96(6), pages 1165-1182, December.
    3. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    4. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    5. Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1, December.
    6. Theodore C. Bergstrom, 1999. "Systems of Benevolent Utility Functions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 71-100, January.
    7. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    8. Gilboa, Itzhak & Schmeidler, David, 1988. "Information dependent games : Can common sense be common knowledge?," Economics Letters, Elsevier, vol. 27(3), pages 215-221.
    9. Werlang, Sérgio Ribeiro da Costa, 1988. "Common knowledge," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 118, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
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    2. John P. Conley & Myrna Wooders, 2005. "Memetics & Voting: How Nature May Make us Public Spirited," Vanderbilt University Department of Economics Working Papers 0514, Vanderbilt University Department of Economics.
    3. John Conley & Myrna H. Wooders & Ali Toossi, 2001. "Evolution & Voting: How Nature Makes us Public Spirited," Economics Bulletin, AccessEcon, vol. 28(24), pages 1.
    4. Vincenzo Scalzo, 2022. "Existence of alpha-core allocations in economies with non-ordered and discontinuous preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 1-12, May.
    5. John Conley & Ali Toossi & Myrna Wooders, 2006. "Memetics and voting: how nature may make us public spirited," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(1), pages 71-90, December.

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