In many real-world contexts – from environmental resource management to project management – decision-makers must pursue multiple objectives at once. The study “Vector-valued games: characterization of equilibria in matrix games”, published in Mathematical methods of operations research and written by Giovanni Paolo Crespi, Professor at LIUC, with Daish Kuroiwa, e Matteo Rocca, investigates so-called vector-valued games, in which players’ payoffs are represented by multiple criteria.
Three notions of equilibrium are introduced and compared, extending John Nash’s results and showing when such equilibria exist and how they relate to classical solutions. The paper also proposes a method to visually represent all equilibria in two-player, two-strategy games. This approach enables a deeper understanding of strategic decision-making in complex scenarios.
The study, conducted in collaboration with the University of Insubria (Varese, Italy) and Shimane University (Matsue, Japan), is part of the research activities of the LIUC Data Analytics Science Hub, contributing to the development of “prescriptive analytics” tools for managerial science and Business Analytics.
