A REACTIVE-DARWINIAN MODEL FOR THE ULTIMATUM GAME: ON THE DOMINANCE OF MODERATION IN HIGH DIFFUSION: On the dominance of moderation in high diffusion

Roberto da Silva, Pablo Valverde, Luis C. Lamb

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider a version of the ultimatum game which simultaneously combines reactive and Darwinian aspects with offers in [0,1]. By reactive aspects, we consider the effects that lead the player to change their offer given the previous result. On the other hand, Darwinian aspects correspond to copying a better strategy according to best game payoff when the current player compares with one of their neighbours. Therefore, we consider three different strategies, which govern how the players change their offers: greedy, moderate, and conservative. First, we provide an analytic study of a static version of game, where Darwinian aspects are not considered. Then, by using numerical simulations of a detailed and complete multi-agent system on a two dimensional lattice, we add an extra feature, in which players probabilistically escape from extreme offers (those close to 0 or 1) for obvious reasons. The players are also endowed reciprocity on their gains as proposers, which is reflected on their gains as responders. We also analyse the influence of the player's mobility effects. An analysis of the emergence of coexistence of strategies and changes on the dominant strategies are observed, which in turn depends on the player's mobility rate.

Original languageEnglish
Article number104956
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume80
DOIs
StatePublished - Jan 2020

Bibliographical note

Publisher Copyright:
© 2019 Elsevier B.V.

Keywords

  • Analytical methods
  • Evolutionary ultimatum game
  • Multi-agent systems
  • Numerical simulations

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