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# A General Coalition Structure: Some Equivalence Results

## Author

Listed:
• Bimonte, Giovanna

## Abstract

It is well known that in a differential information economy the free coalition formation may imply some theoretical difficulties. It does not suffice to say that a coalition can be formed by several agents. We define a set of all possible coalitions as the set of those coalitions that can be formed and joint by any agent. There exists, in this way, a rule imposed over coalition formation. We assume that only a subset $\mathcal{S}$ of $\Sigma$ is alowed to form. In such way, we fix over the set of agents an aggregation rule for which the coalitions can be formed only if they belong to this subset. We have restricted the set of coalitions that can be joined by traders. The main result is the equivalence between two private core concept: the classical one for a differential information economy and the private core restricted.

## Suggested Citation

• Bimonte, Giovanna, 2013. "A General Coalition Structure: Some Equivalence Results," MPRA Paper 46283, University Library of Munich, Germany.
• Handle: RePEc:pra:mprapa:46283
as

File URL: https://mpra.ub.uni-muenchen.de/46283/1/MPRA_paper_46283.pdf
File Function: original version

## References listed on IDEAS

as
1. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
2. Greenberg, Joseph & Weber, Shlomo, 1983. "A core equivalence theorem with an arbitrary communication structure," Journal of Mathematical Economics, Elsevier, vol. 11(1), pages 43-55, January.
3. Okuda, Hidesuke & Shitovitz, Benyamin, 1985. "Core allocations and the dimension of the cone of efficiency price vectors," Journal of Economic Theory, Elsevier, vol. 35(1), pages 166-171, February.
4. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
5. Giovanna Bimonte & Maria Graziano, 2009. "The measure of blocking coalitions in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 331-350, February.
6. M. Ali Khan, 1974. "Some Equivalence Theorems," Review of Economic Studies, Oxford University Press, vol. 41(4), pages 549-565.
7. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
Full references (including those not matched with items on IDEAS)

### Keywords

Differential information economy; restriction on coalition formation; private core.;

### JEL classification:

• D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
• D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
• D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

### NEP fields

This paper has been announced in the following NEP Reports:

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