Francisco Carreras Escobar

Francisco Carreras Escobar is a Professor in the Department of Applied Mathematics II at the School of Industrial and Aeronautical Engineering of Terrassa, Polytechnic University of Catalonia (UPC). With an extensive research career spanning over four decades from 1978 to present, he has established himself as a leading scholar in game theory and its applications. His work primarily focuses on cooperative games, coalition structures, voting systems, and power indices, with significant contributions to theoretical foundations and practical applications in political science and economics.

His research interests encompass Game Theory, Cooperative Games, Voting Systems, Power Indices, Coalition Formation, Decision Theory, Political Game Theory, and Mathematical Economics. Carreras Escobar's work demonstrates how mathematical game theory can be applied to analyze political decision-making processes, parliamentary systems, and coalition formation in multi-agent environments. His research has evolved from foundational work on power indices in the 1980s to more complex analyses of coalition structures and stability in recent years.

Analysis of his 15 most recent publications reveals a consistent focus on coalition structures within cooperative game theory, particularly examining the Shapley value and its variants in partitioned settings. His work bridges theoretical mathematical developments with practical applications in political decision systems, particularly European voting mechanisms. The research shows increasing sophistication in handling complex coalition formations and stability criteria, with recent work focusing on axiomatic characterizations and probabilistic approaches to value allocation.

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Carreras Escobar has maintained an exceptionally productive research career with 404 documented academic activities. His work demonstrates strong collaborative patterns, particularly with Antonio Magaña (68 collaborations), Josep Freixas (61 collaborations), and Mª Albina Puente (60 collaborations). His research has evolved from early work on parliamentary voting systems in the 1980s to sophisticated analyses of coalition structures and stability in contemporary game theory. The Department of Applied Mathematics II at UPC has served as his primary academic base throughout his career, where he has contributed significantly to both theoretical developments and practical applications of game theory.