Bounded rationality in a dynamic alternate game

TL;DR

This paper introduces a new bounded rationality model for analyzing the game of dominoes, addressing the computational challenges of finding equilibria in complex dynamic alternate games.

Contribution

It proposes a limited forecast model to handle the node explosion problem in dominoes, providing a novel approach to game analysis under bounded rationality.

Findings

New bounded rationality model for dominoes

Addresses computational complexity in equilibrium determination

Provides a framework for analyzing complex dynamic games

Abstract

From the standpoint of game theory, dominoes is a game that has not received much attention (specially the variety known as draw). It is usually thought that this game is already solved, given general results in game theory. However, the determination of equilibria is not feasible for the general case because of the well known problem of node explosion in the tree expressing the game. We propose a new model based in limited forecast as a kind of bounded rationality for dynamic alternate games.