EconPapers    
Economics at your fingertips  
 

Can I afford to remember less than you? Best responses in repeated additive games

Franziska Lesigang, Christian Hilbe and Nikoleta E. Glynatsi

Economics Letters, 2025, vol. 250, issue C

Abstract: In this paper, we study best responses in repeated additive games among two players. A stage game is additive if each player’s payoff is the sum of two components, and each component only depends on the action of a single player. We suppose one player’s strategy depends on the co-player’s last n actions. Then we prove that the other player has a best response that only depends on their own n−1 actions. That is, for an important sub-class of games and strategies, players can achieve maximum payoffs even with less memory than their opponent.

Keywords: Repeated games; Best response; Additive games; Bounded rationality (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0165176525001375
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:250:y:2025:i:c:s0165176525001375

DOI: 10.1016/j.econlet.2025.112300

Access Statistics for this article

Economics Letters is currently edited by Economics Letters Editorial Office

More articles in Economics Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().

 
Page updated 2025-04-30
Handle: RePEc:eee:ecolet:v:250:y:2025:i:c:s0165176525001375