Case study in game theory - color coordination, Game Theory

Game 1 Color Coordination (with Delay)

594_Color coordination.png

This game should be played twice, once without the delay tactic and once with it, to show the difference between out- comes in the simultaneous and sequential versions. As usual, the game can be played by pairs of students, although it can also be played by all students simultaneously with the left- hand side of the room's playing against the right-hand side. Tell the students not to write down anything (except their names) until they hear all of the instructions. As with the tacit coordination game, you might want to provide some inducement for coordination here; chocolate usually works well.

Ask the students to choose partners from the other side of the room or have them imagine that each is playing with one person who is sitting on the other side of the room. Each student will eventually be asked to write either pink or purple. If both students in the real or imaginary pair write pink, the person on the right-hand side of the room gets 50 points and the person on the left-hand side of the room gets 40 points. ("Right-hand" and "left-hand" are defined from the students' point of view.) If both write purple, the person on the left- hand side of the room gets 50 points and the person on the right-hand side of the room gets 40 points. If the answers don't match, neither player gets anything.

To play without the delay tactic, simply ask the students to choose a color and write the choice. Then play again, im- mediately, but explain that you will flip a coin first. If it comes up heads, those on the right-hand side of the room get to write their answers first; otherwise those on the left-hand side of the room write first.

Once you have collected answers from the students, you can discuss the implications of the game. Clearly, it is much more difficult to coordinate without the benefit of the delay tactic and there are two equilibria in pure strategies in the simultaneous-move game. The delay tactic makes the game sequential and creates a first-mover advantage; outcomes from this version often come much closer to complete co- ordination. As usual, you can ask students to try to come up with real-world situations that replicate some of the conditions of the game, or you can provide some examples.

Posted Date: 9/27/2012 4:31:40 AM | Location : United States

Related Discussions:- Case study in game theory - color coordination, Assignment Help, Ask Question on Case study in game theory - color coordination, Get Answer, Expert's Help, Case study in game theory - color coordination Discussions

Write discussion on Case study in game theory - color coordination
Your posts are moderated
Related Questions
In Bontemps, Louisiana there are only two places to spend time: Merlotte's bar and Fangtasia. Sookie and Eric have made plans to spend Friday night together, but they never decided

(a) A player wins if she takes the total to 100 and additions of any value from 1 through 10 are allowed. Thus, if you take the sum to 89, you are guaran- teed to win; your oppone

The Prisoners’ Dilemma Game The idea that tacit cooperation can be sustained in an ongoing relationship is very simple and students easily accept it. The formal analysis

Rollback (often referred to as backward induction) is an iterative method for solving finite in depth kind or sequential games. First, one determines the optimal strategy of the pl

Combining Simultaneous and  Sequential Moves The material in this chapter covers a variety of issues that require some knowledge of the analysis of both sequential- move

In a positive add game, the combined payoffs of all players aren't identical in each outcome of the sport. This differs from constant add (or zero add) games during which all outco

Scenario To determine who is needed to try to to the nightly chores, 2 youngsters simultaneously build one among 3 symbols with their fists - a rock, paper, or scissors. straigh

1. The publishing industry in the country of Font, where the local currency is the stet, is dominated by two companies, the Arial Book Co. and Verdana Works Ltd.. Currently, both o

A pure strategy defines a selected move or action that a player can follow in each potential attainable state of affairs in a very game. Such moves might not be random, or drawn fr

Rules of Snake Eyes (small variation on game called Craps in USA) Player rolls two dice. On the first roll if the total of the dice is 2 (snake eyes): player wins and rece