Stability and Competitive Equilibrium in Trading Networks
We introduce a model in which agents in a network can trade via bilateral contracts. We find that when continuous transfers are allowed and utilities are quasi-linear, the full substitutability of preferences is sufficient to guarantee the existence of stable outcomes for any underlying network structure. Furthermore, the set of stable outcomes is essentially equivalent to the set of competitive equilibria, and all stable outcomes are in the core and are efficient. By contrast, for any domain of preferences strictly larger than that of full substitutability, the existence of stable outcomes and competitive equilibria cannot be guaranteed.
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- Powers, Michael R. & Shubik, Martin, 2001.
"Toward a theory of reinsurance and retrocession,"
Insurance: Mathematics and Economics,
Elsevier, vol. 29(2), pages 271-290, October.
- Michael R. Powers & Martin Shubik, 1999. "Toward a Theory of Reinsurance and Retrocession," Cowles Foundation Discussion Papers 1227, Cowles Foundation for Research in Economics, Yale University.
- Pio Baake & Jörg Oechssler & Christoph Schenk, 1999. "Explaining cross-supplies," Journal of Economics, Springer, vol. 70(1), pages 37-60, February.
- Ning Sun & Zaifu Yang, 2006. "Equilibria and Indivisibilities: Gross Substitutes and Complements," Econometrica, Econometric Society, vol. 74(5), pages 1385-1402, September. Full references (including those not matched with items on IDEAS)
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