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Table · dataset · 2020

Dataset with 100,000 3x3x3x3 strategic games for comparing the social utility of Perfectly Transparent Equilibria with that of Nash Equilibria

Listed in ETH Zürich Research Collection

The games were automatically generated by taking random payoff permutations on the integers 0-80 for each game and agent.

Description

It is thus a simple random sample with replacement. The game matrix is in field y as a five-dimensional array of payoffs: four dimensions for each player's choice of strategy, one dimension for the player receiving this payoff.

The Nash equilibrium (field N) and the Perfectly Transparent Equilibrium (field P) are pre-computed. The equilibrium fields contain an array of coordinates (starting at 0) of the equilibria in the matrix in field y, not the payoffs. There are 8 JSON Lines files, each containing around 12,000 or 13,000 objects.

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The CSV file contains the results of an analysis of the dataset with the distribution of social utilities (Thiel-L function) for the unique Nash equilibrium and the Perfectly Transparent Equillibrium. The code that produced the JSON dataset was written in Python. The code that produced the CSV intermediate results was written in JSONiq.

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Where it is published

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Inferred from text
Pure mathematics 71%
Provenance · 1 source records, 19 field assertions
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