Coalition bargaining in repeated games

Polanski, Arnold ORCID: https://orcid.org/0000-0001-9146-6364 and Vega-Redondo, Fernando (2018) Coalition bargaining in repeated games. International Economic Review, 59 (4). pp. 1949-1967. ISSN 1468-2354

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Abstract

We consider an intertemporal game-theoretic framework in which different coalitions interact repeatedly over time. Both the terms of trade and the endogenous cooperation structure arising in this setup are characterized, in a protocol-free manner, provided that just three natural conditions on the outcome are satisfied: (C1) A coalition is formed with positive probability if, and only if, the shares obtained in this case by its members weakly exceed their respective share expectations. (C2) Each matched coalition distributes the entire surplus among its members. (C3) Members of any coalition are treated symmetrically with respect to their share expectations when the surplus of this coalition is distributed. Our analysis primarily focuses on the limit scenario where the game ends each date with vanishing probability. We show that, in this case, the cooperation structure and the shares are unique. In an application to trade networks, we show that, in a complete network, a unique price arises and agents specialize in either buying or selling. In an incomplete network, on the other hand, transactions occur, generally, at multiple prices and some agents become arbitrageurs that buy and sell at different prices.

Item Type: Article
Uncontrolled Keywords: repeated multi-coalitional games,coalition formation,network games
Faculty \ School: Faculty of Social Sciences > School of Economics
UEA Research Groups: Faculty of Social Sciences > Research Groups > Economic Theory
Faculty of Social Sciences > Research Groups > Applied Econometrics And Finance
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Depositing User: Pure Connector
Date Deposited: 18 Oct 2017 05:08
Last Modified: 29 Jan 2023 06:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/65165
DOI: 10.1111/iere.12325

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