Research in Economics and Mathematics

Publicações

Publication . Carvalho, Alda; Santos, Carlos; Silva, Jorge; Teixeira, Ricardo; Fong, Chamberlain

Part of the beauty of Lisbon and Azores lies under the feet of anyone who walks in the streets. Given their highly symmetrical nature, Portuguese sidewalk drawings are ideal to be analyzed geometrically. Furthermore, these drawings provide opportunities for promoting mathematical concepts through exhibitions, card decks, and other forms of dissemination.

2023Documento de conferência

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Some notes on disjunctive short sum: polychromatic nim

Publication . Carvalho, Alda; Santos, Carlos Pereira dos

polychromatic nim is a version of the classic game nim, played with colored stones, in which each pile has stones of a single color, and the player who successfully extinguishes a color wins the game. This game is closely related to the concept of short rule, the ending condition that states that a disjunctive sum ends as soon as any one of the components ends. Here, we discuss that rule, namely when applied to impartial games, and prove that the Grundy-values of polychromatic nim present an arithmetic-periodic behavior.

2023Artigo científico

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Palavras-chave

Macroeconomics,Econometrics,Microeconomics,Applied Mathematics,

Entidade financiadora

Fundação para a Ciência e a Tecnologia, I.P.

Programa de financiamento

Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base

Número da atribuição

UIDB/05069/2020