A game-theoretic approach for stochastic estimation of equilibrium in land use data: stochastic estimation of equilibrium in land use data

Vach, Marek

doi:10.1007/s00477-020-01873-2

Cited by 1 publication

(5 citation statements)

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“…For the case of NE found in mixed formal strategies, the situation was more complex. This was discussed in detail in the report by Vach (2020), where it was also shown that the contributions to the distribution of NE probability obtained in mixed strategies did not significantly affect the overall trend of this distribution.…”

Section: Methodsmentioning

confidence: 87%

“…The question of which games these should be, was addressed here by assuming that they were the ones found most often. In previous work (Vach, 2020), it was proved that these were symmetric game configurations.…”

Section: Discussionmentioning

confidence: 94%

“…The chosen size of these symmetrical game configurations and the number of formal strategies considered for each interacting entity (player) had virtually no effect on the overall trend of the resulting NE probability distribution, as demonstrated in Section 2.1. Similarly, it was shown to be unnecessary to include solutions in mixed strategies in the calculation of the NE probability distribution because, like game configurations, the size does not significantly affect the resulting trend (Vach, 2020). The results were determined for permuted game configurations with two formal strategies of the individual interacting entities, selected factors B, W, F, and S, which were related to the number of evaluated sites.…”

Section: Discussionmentioning

confidence: 99%

“…A method derived from game theory for stochastic estimation of equilibrium in spatial data (Vach, 2020) was used for evaluation of forest restoration on spoil heaps from lignite mining. This approach was based on the assumption that arbitrary cases defined in spatial data could be considered as elements of a multidimensional symmetric configuration.…”

Section: Methodsmentioning

confidence: 99%

“…The assumption of a competition between design characteristics within defined spatial blocks is also included in the approach used in this paper, but it is purely stochastic and only evaluates the observed research‐determined state. The recovery of the postmining area in the Sokolov region of the Czech Republic, specifically the spoil heaps left from lignite (a type of coal) mining, was evaluated here using an approach based on the stochastic estimation of the probability of the Nash equilibrium, NE, (Nash, 1950) in spatial data, which were proposed in a previous work (Vach, 2020).…”

Section: Introductionmentioning

confidence: 99%

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Stochastic evaluation of restoration procedures on postmining land areas using a game theory approach

et al. 2021

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Restoration of postmining areas is a frequently addressed topic requiring a comprehensive view. In this article, the recovery process of selected postmining spoil heap sites was evaluated using an approach based on calculation of Nash equilibrium (NE) probability distributions. Many of these sites have been allowed to recover by spontaneous succession, while on others, a variety of restoration procedures have been tested, most of them variants of the forest plantation type. The evaluation was carried out on selected data from each site that reflects four factors: the richness of the vegetation cover, the amount of biomass as soil macrofauna per unit area, the forestry yield, and the attractiveness for recreation use. The analysis was based on permuted game configurations in which these factors were treated as competing entities, adversaries that were differentially successful in each location depending on the conditions of the recovery procedure used. The game strategies that the factors exhibited as theoretically interacting entities had no primary information content, which meant that they could be treated stochastically. The result was a distribution of the NE probability at each location. Considering the fact that this result reflected the degree of optimality of the included factors, the calculation could be considered as a specific type of multicriteria evaluation, which was practically applicable and provided unambiguous results. The NE probability in sites restored by deciduous tree stands was higher, which was therefore assumed to correspond to higher stability.

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Section: Methodsmentioning

confidence: 87%

Section: Discussionmentioning

confidence: 94%

Section: Discussionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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