Quadratic Payments with constrained probabilities
Abstract
Dealing with quadratic payments, marginal probability is usually considered ideally constant, maybe for the sake of initial simplicity. Considering the voting scenario depicted in "Quadratic Payments: A Primer" by Vitalik Buterin, firstly its math foundations are made explicit. Developing a simple referendum model, more realistic outcome probability and marginal probability qualitative shapes are introduced. Enforcing seemingly reasonable assumptions, quadratic payments are then generalized to take into account these new functions shapes, and the way they are still quadratic is discussed. Closing remarks underline the emerging of tradeoff constraints not existing in ideal case.
 Publication:

arXiv eprints
 Pub Date:
 April 2021
 DOI:
 10.48550/arXiv.2104.12700
 arXiv:
 arXiv:2104.12700
 Bibcode:
 2021arXiv210412700B
 Keywords:

 Computer Science  Computer Science and Game Theory
 EPrint:
 20 pages, 10 figures, 2 tables, companion data: https://github.com/baro77/quadratic_influence