Concave Pro-rata Games: The concave pro-rata game

TLDR

This paper explores concave pro-rata games, showing equilibrium properties, price of anarchy, and quick convergence in iterative play for decentralized exchange.via the TL;DR App

Authors:

(1) Nicholas A. G. Johnson ([email protected]);

(2) Theo Diamandis ([email protected]);

(3) Alex Evans ([email protected]);

(4) Henry de Valence ([email protected]);

(5) Guillermo Angeris ([email protected]).

Table of Links

Abstract and Introduction

1 The concave pro-rata game

1.1 Symmetric pure strict equilibrium

1.2 Uniqueness of equilibrium

1.3 Equilibrium payoff

2 Batched decentralized exchanges

2.1 Arbitrage

3 Conclusion and References

A Numerics

B Additional Numerics

C Relaxing strict concavity

D Rosen condition

1 The concave pro-rata game

This paper is available on arxiv under CC BY 4.0 DEED license.

Written by prorata | Proportioning progress, Pro Rata fuels fairness and equality, scaling sustainable growth for a brighter future.

Published by HackerNoon on 2025/01/14