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Competitive pricing in socially networked economies
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Allouch, Nizar and Wooders, Myrna Holtz (2002) Competitive pricing in socially networked economies. Working Paper. Coventry: University of Warwick, Department of Economics. (Warwick economic research papers.
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Official URL: http://www2.warwick.ac.uk/fac/soc/economics/resear...
Abstract
In the context of a socially networked economy, this paper demon-strates an Edgeworth equivalence between the set of competitive allocations and the core. Each participant in the economy may have multiple links with other participants and the equilibrium network may be as large as the entire set of participants. A clique is a group of people who are all connected with each other. Large cliques, possibly as large as the entire population, are permitted; this is important since we wish to include in our analysis large, world-wide organizations such as workers in multi-national firms and members of world-wide environmental organizations, for example, as well as small cliques, such as two-person partnerships. A special case of our model is equivalent to a club economy where clubs may be large and individuals may belong to multiple clubs. The features of our model that cliques within a networked economy may be as large as the entire population and individuals may belong to multiple cliques thus allow us to extend the extant decentralisation literature on competitive pricing in economies with clubs and multiple memberships (where club sizes are uniformly bounded, independent of the size of the economy).
| Item Type: | Working or Discussion Paper (Working Paper) |
|---|---|
| Subjects: | H Social Sciences > HF Commerce H Social Sciences > HM Sociology |
| Divisions: | Faculty of Social Sciences > Economics |
| Library of Congress Subject Headings (LCSH): | Social networks, Pricing, Edgeworth expansions, Cliques (Sociology), Clubs |
| Series Name: | Warwick economic research papers |
| Publisher: | University of Warwick, Department of Economics |
| Place of Publication: | Coventry |
| Date: | 24 April 2002 |
| Number: | No.639 |
| Number of Pages: | 21 |
| Status: | Not Peer Reviewed |
| Access rights to Published version: | Open Access |
| Description: | This paper was submitted to the Athens General Equilibrium Conference in March of this year and is to be presented there in May 2002. |
| Version or Related Resource: | Allouch, N. and Wooders, M.H. (2008). Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes. Journal of Economic Theory, 140(1), pp. 246-278. http://wrap.warwick.ac.uk/id/eprint/29904 |
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| References: | [1] Belleflame, P. and F. Bloch (2001) “Market sharing agreements and collusive networks,” Presented at at 2001 Warwick Department of Economics Summer Euro Workshop. [2] Broome, J. (1973) “Approximate equilibrium with indivisible commodities,” Journal of Economic Theory 5, 224-249. [3] Cole, H. and E. Prescott (1997) “Valuation equilibria with clubs” Journal of Economic Theory 74, 19-39. [4] Conley, J. and M.H. Wooders (1997) “Equivalence of the core and competitive equilibrium in a Tiebout economy with crowding types,” Journal of Urban Economics 41, 421-440. [5] Debreu G. and H. Scarf (1963) “A limit theorem on the core of an economy” International Economic Review 4, 235-246. [6] Dutta, B. and S. Mutuswami (1997) “Stable networks,” Journal of Economic Theory 76, 322-344. [7] Ellickson, B., B. Grodal, S. Scotchmer, andW. Zame (2001) “Clubs and the market; Large …nite economies,” Journal of Economic Theory 101, 40-77. [8] Foley, D. (1970) “Lindahl’s Solution and the Core of an Economy with Public Goods,” Econometrica 38, 66-72. [9] Goyal, S. (1993)“Sustainable Communication Networks,” Discussion Paper TI 93-250, Tinbergen Institute, Amsterdam-Rotterdam (1993). [10] Jackson, M. and A. Wolinsky (1996) “A strategic model of social and economic networks,” Journal of Economic Theory 71, 44-74. [11] Hammond, P., M. Kaneko and M. H. Wooders (1989) “Continuum economies with …nite coalitions: Core, equilibria, and widespread externalities,” Journal of Economic Theory 49, 113-134. [12] Hammond, P. (1992) “The power of small coalitions in large economies,” to appear in Mathematical Models in Economics, (eds). by Bacharach, M.O.L., Dempster, M.A.H. and Ernos, J.L., Oxford University Press, Oxford. Stochastic Communication and Coalition Formation [13] Kirman, A., C. Oddou, S. Weber (1986) “Stochastic communication and coalition formation,” Econometrica 54, 129-138. [14] Kovalenkov, A. and M.H.Wooders (1997) “Approximate cores of games and economies with clubs” Autonomous University of Barcelona Working Papers 390.97 and 391.97 combined, to appear in Journal of Economic Theory. [15] Kovalenkov, A. and M. Wooders (2001a) “Epsilon cores of games with limited side payments; Nonemptiness and equal treatment” Games and Economic Behavior, August 2001, vol. 36, no. 2, pp. 193-218 (26). [16] Kovalenkov, A. and M. Wooders (2001b) “An exact bound on epsilon for non-emptiness of epsilon-cores of games,” Mathematics of Operations Research, Vol 26, No 4, Nov 2001, pp 654-678. [17] van den Nouweland, A. and M. Slikker (2001) Social and Economic Networks in Cooperative Game Theory, Kluwer Academic Publishers, Boston. [18] Page, F.H. Jr., M.Wooders, and S. Kamat (2001) “Networks and farsighted stabililty,” University of Warwick Department of Economics Working Paper 621. [19] Rockafellar, R.T. (1984) Network Flows and Monotropic Optimization, John Wiley and Sons Inc., New York. [20] Shubik, M. and Wooders, M.H. (1982) “Near-markets and market-games,” Cowles Foundation Discussion Paper. Published in part in Economic Studies Quarterly (1986) 37, 289-299. [21] Tiebout, C. (1956) “A pure theory of local expenditures,” Journal of Political Economy 64, 416-424. [22] Wooders M.H. (1978) “Equilibria, the core, and jurisdiction structures in economies with a local public good,” Journal of Economic Theory 18, 328-348. [23] Wooders, M.H. (1980) “The Tiebout Hypothesis: Near optimality in local public good economies,” Econometrica 48, 1467-1486. [24] Wooders, M.H (1983) “The epsilon core of a large replica game,” Journal of Mathematical Economics, 11, 277-300. [25] Wooders, M.H. (1985) “A Tiebout Theorem,” Institute for Mathematics and its Applications, University of Minnesota Preprint #128, published in Mathematical Social Sciences 18 (1989), 33-55. [26] Wooders, M.H. (1994) “Equivalence of games and markets,” Econometrica 62, 1141-1160. [27] Wooders, M.H. (1997) “Equivalence of Lindahl equilibria with participation prices and the core,” Economic Theory 9, 113-127. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/1551 |
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