Next Article in Journal / Special Issue
Dynamic Contributions to a Public Project: The Impact of Rising Marginal Benefit and Completion Benefits
Previous Article in Journal / Special Issue
To Tender or Not to Tender? Deliberate and Exogenous Sunk Costs in a Public Good Game
Article Menu

Export Article

Open AccessArticle
Games 2018, 9(3), 42; https://doi.org/10.3390/g9030042

The Optimal Strategy in the Minimum Effort Game

Department of Strategic Management and Marketing, Leicester Castle Business School, De Montfort University, Leicester LE1 9BH, UK
Received: 21 May 2018 / Revised: 20 June 2018 / Accepted: 27 June 2018 / Published: 29 June 2018
(This article belongs to the Special Issue Public Good Games)
Full-Text   |   PDF [327 KB, uploaded 29 June 2018]   |  

Abstract

A simple expression is derived for the optimal strategy in the minimum effort game. This maps from player beliefs to an optimal effort level. From this expression the set of Nash equilibria in the game is fully characterized. All Nash equilibria are symmetric and involve at most two actions being played with positive probability. We discuss how our expression for the optimal strategy can help inform on the comparative statics of a change in the number of players and effort cost benefit ratio. View Full-Text
Keywords: weak link game; minimum effort game; Nash equilibrium; beliefs weak link game; minimum effort game; Nash equilibrium; beliefs
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Cartwright, E. The Optimal Strategy in the Minimum Effort Game. Games 2018, 9, 42.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Games EISSN 2073-4336 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top