Interpreting social accounting matrix (SAM) as an information channel

Mateu Sbert, Shuning Chen, Miquel Feixas, Marius Vila, Amos Golan

研究成果: Contribution to journalArticle査読

抄録

Information theory, and the concept of information channel, allows us to calculate the mutual information between the source (input) and the receiver (output), both represented by probability distributions over their possible states. In this paper, we use the theory behind the information channel to provide an enhanced interpretation to a Social Accounting Matrix (SAM), a square matrix whose columns and rows present the expenditure and receipt accounts of economic actors. Under our interpretation, the SAM’s coefficients, which, conceptually, can be viewed as a Markov chain, can be interpreted as an information channel, allowing us to optimize the desired level of aggregation within the SAM. In addition, the developed information measures can describe accurately the evolution of a SAM over time. Interpreting the SAM matrix as an ergodic chain could show the effect of a shock on the economy after several periods or economic cycles. Under our new framework, finding the power limit of the matrix allows one to check (and confirm) whether the matrix is well-constructed (irreducible and aperiodic), and obtain new optimization functions to balance the SAM matrix. In addition to the theory, we also provide two empirical examples that support our channel concept and help to understand the associated measures.

本文言語英語
論文番号1346
ページ(範囲)1-28
ページ数28
ジャーナルEntropy
22
12
DOI
出版ステータス出版済み - 12 2020
外部発表はい

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

フィンガープリント 「Interpreting social accounting matrix (SAM) as an information channel」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル