Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach

In this paper, we use a partition function form game to analyze cartel formation among firms in Cournot competition. We assume that a firm obtains a certain cost advantage that allows it to produce goods at a lower unit cost. We show that if the level of the cost advantage is “moderate”, then the fi...

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Main Author: Takaaki Abe
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Games
Subjects:
Online Access:https://www.mdpi.com/2073-4336/12/1/14
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author Takaaki Abe
author_facet Takaaki Abe
author_sort Takaaki Abe
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description In this paper, we use a partition function form game to analyze cartel formation among firms in Cournot competition. We assume that a firm obtains a certain cost advantage that allows it to produce goods at a lower unit cost. We show that if the level of the cost advantage is “moderate”, then the firm with the cost advantage leads the cartel formation among the firms. Moreover, if the cost advantage is relatively high, then the formed cartel can also be stable in the sense of the core of a partition function form game. We also show that if the technology for the low-cost production can be copied, then the cost advantage may prevent a cartel from splitting.
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spelling doaj.art-9ae5881205a24c4bb78e57b53871f9872023-12-03T11:53:53ZengMDPI AGGames2073-43362021-02-011211410.3390/g12010014Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function ApproachTakaaki Abe0School of Political Science and Economics, Waseda University, 1-6-1, Nishi-waseda, Shinjuku-ku, Tokyo 169-8050, JapanIn this paper, we use a partition function form game to analyze cartel formation among firms in Cournot competition. We assume that a firm obtains a certain cost advantage that allows it to produce goods at a lower unit cost. We show that if the level of the cost advantage is “moderate”, then the firm with the cost advantage leads the cartel formation among the firms. Moreover, if the cost advantage is relatively high, then the formed cartel can also be stable in the sense of the core of a partition function form game. We also show that if the technology for the low-cost production can be copied, then the cost advantage may prevent a cartel from splitting.https://www.mdpi.com/2073-4336/12/1/14cartel formationCournot competitionpartition function form gamestability
spellingShingle Takaaki Abe
Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach
Games
cartel formation
Cournot competition
partition function form game
stability
title Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach
title_full Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach
title_fullStr Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach
title_full_unstemmed Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach
title_short Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach
title_sort cartel formation in cournot competition with asymmetric costs a partition function approach
topic cartel formation
Cournot competition
partition function form game
stability
url https://www.mdpi.com/2073-4336/12/1/14
work_keys_str_mv AT takaakiabe cartelformationincournotcompetitionwithasymmetriccostsapartitionfunctionapproach