Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency

A game between a representative household and a government was analyzed. The household chose which fractions of two currencies to hold, e.g., a national currency such as a Central Bank Digital Currency (CBDC) and a global currency such as Bitcoin or Facebook’s Diem, and chose the tax evasion probabi...

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Main Authors: Guizhou Wang, Kjell Hausken
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Games
Subjects:
Online Access:https://www.mdpi.com/2073-4336/12/2/34
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author Guizhou Wang
Kjell Hausken
author_facet Guizhou Wang
Kjell Hausken
author_sort Guizhou Wang
collection DOAJ
description A game between a representative household and a government was analyzed. The household chose which fractions of two currencies to hold, e.g., a national currency such as a Central Bank Digital Currency (CBDC) and a global currency such as Bitcoin or Facebook’s Diem, and chose the tax evasion probability for each currency. The government chose, for each currency, the probability of detecting and prosecuting tax evasion, the tax rate, and the penalty factor imposed on the household when tax evasion was successfully detected and prosecuted. The household′s fraction of the national currency, the government’s monitoring probability of the national currency, and the penalty factor imposed on the global currency, increased in the household′s Cobb Douglas output elasticity for the national currency. The household′s probabilities of tax evasion on both currencies increased in the government’s Cobb Douglas output elasticity for the national currency. The government’s taxation on both currencies decreased in the output elasticity for the national currency. High output elasticity for the national currency eventually induced the government to tax that currency more than the global currency. The household′s probability of tax evasion on the global currency increased in the government’s output elasticity for that currency. The household was less (more) likely to tax evade on the national (global) currency if the government valued taxation and penalty on the national (global) currency. The results are illustrated numerically where each of the eight parameter values was varied relative to a benchmark.
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spelling doaj.art-8400842e952d4a91a1c97cd34a348a562023-11-21T15:16:03ZengMDPI AGGames2073-43362021-04-011223410.3390/g12020034Governmental Taxation of Households Choosing between a National Currency and a CryptocurrencyGuizhou Wang0Kjell Hausken1Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, NorwayFaculty of Science and Technology, University of Stavanger, 4036 Stavanger, NorwayA game between a representative household and a government was analyzed. The household chose which fractions of two currencies to hold, e.g., a national currency such as a Central Bank Digital Currency (CBDC) and a global currency such as Bitcoin or Facebook’s Diem, and chose the tax evasion probability for each currency. The government chose, for each currency, the probability of detecting and prosecuting tax evasion, the tax rate, and the penalty factor imposed on the household when tax evasion was successfully detected and prosecuted. The household′s fraction of the national currency, the government’s monitoring probability of the national currency, and the penalty factor imposed on the global currency, increased in the household′s Cobb Douglas output elasticity for the national currency. The household′s probabilities of tax evasion on both currencies increased in the government’s Cobb Douglas output elasticity for the national currency. The government’s taxation on both currencies decreased in the output elasticity for the national currency. High output elasticity for the national currency eventually induced the government to tax that currency more than the global currency. The household′s probability of tax evasion on the global currency increased in the government’s output elasticity for that currency. The household was less (more) likely to tax evade on the national (global) currency if the government valued taxation and penalty on the national (global) currency. The results are illustrated numerically where each of the eight parameter values was varied relative to a benchmark.https://www.mdpi.com/2073-4336/12/2/34digital currencycryptocurrencyCBDCBitcoingame theorytaxation
spellingShingle Guizhou Wang
Kjell Hausken
Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency
Games
digital currency
cryptocurrency
CBDC
Bitcoin
game theory
taxation
title Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency
title_full Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency
title_fullStr Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency
title_full_unstemmed Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency
title_short Governmental Taxation of Households Choosing between a National Currency and a Cryptocurrency
title_sort governmental taxation of households choosing between a national currency and a cryptocurrency
topic digital currency
cryptocurrency
CBDC
Bitcoin
game theory
taxation
url https://www.mdpi.com/2073-4336/12/2/34
work_keys_str_mv AT guizhouwang governmentaltaxationofhouseholdschoosingbetweenanationalcurrencyandacryptocurrency
AT kjellhausken governmentaltaxationofhouseholdschoosingbetweenanationalcurrencyandacryptocurrency