# Discrete Two Player All-Pay Auction with Complete Information

arXiv: https://arxiv.org/abs/2305.04696 · HTML: https://mlsanity.com/paper/2305.04696/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 May 2023.

## Built on by (most cited first, 1 of 1)

- [Auction-Based Online Policy Adaptation for Evolving Objectives](https://mlsanity.com/paper/2604.02151/) (2026)

## Abstract (arXiv)

We study discrete two player all-pay auction with complete information. We provide full characterization of mixed strategy Nash equilibria and show that they constitute a subset of Nash equilibria of discrete General Lotto game. We show that equilibria are not unique in general but they are interchangeable. We also show that equilibrium payoffs are unique, unless valuation of at least one of the players is an even integer number. If equilibrium payoffs are not unique, continuum of equilibrium payoffs are possible. We compare equilibrium characterization and equilibrium payoffs with the continuous variant of all-pay auctions.