Efficient partnership formation in networks

Author:

Bloch Francis1,Dutta Bhaskar23,Manea Mihai4

Affiliation:

1. Paris School of Economics

2. Department of Economics, University of Warwick

3. Department of Economics, Ashoka University

4. Department of Economics, Stony Brook University

Abstract

We analyze the formation of partnerships in social networks. Players need favors at random times and ask their neighbors in the network to form exclusive long‐term partnerships that guarantee reciprocal favor exchange. Refusing to provide a favor results in the automatic removal of the underlying link. Players agree to provide the first favor in a partnership only if they otherwise face the risk of eventual isolation. In equilibrium, players essential for realizing every maximum matching can avoid this risk and enjoy higher payoffs than inessential players. Although the search for partners is decentralized and reflects local partnership opportunities, the strength of essential players drives efficient partnership formation in every network. Equilibrium behavior is determined by the classification of nodes in the Gallai–Edmonds decomposition of the underlying network.

Funder

Agence Nationale de la Recherche

Publisher

The Econometric Society

Subject

General Economics, Econometrics and Finance

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