Perfect nash equilibrium, Game Theory

Assignment Help:

Perfect Nash equilibrium

Two students prepare their homework assignment together for a course. They both enjoy getting high grade for their assignment, but they dislike working on the assignment. They can both choose to supply Low, Medium or High level of effort. Their payoff is given in the table below:

 

2411_perfect Nash equilibrium.png

(a) Find all pure-strategy Nash equilibria of this game. Can the efficient outcome be achieved in equilibrium in a one-shot game?

(b) In this course students have to hand in two assignments. Thus, the above game is played twice. Start by assuming that students are very patient (no discounting between the periods). Is there a sub-game perfect Nash equilibrium that can achieve the outcome M-M in the first stage? If yes, describe this equilibrium, otherwise explain why it is not possible. Hint: discuss whether we have a problem with credible threats here.

(c) How does your answer in part (b) change if we now assume very impatient students with δ= 0:3? Provide both calculations and intuition.


Related Discussions:- Perfect nash equilibrium

Matching pennies, Matching Pennies Scenario To determine who is needed t...

Matching Pennies Scenario To determine who is needed to try to to the nightly chores, 2 youngsters initial choose who are represented by "same" and who are represented by "diffe

Pareto dominated, An outcome of a game is Pareto dominated if another outco...

An outcome of a game is Pareto dominated if another outcome would build a minimum of one player at an advantage while not hurting the other player. That is, another outcome is weak

Bayesian Cournot, Consider the Cournot duopoly model in which two firms, 1 ...

Consider the Cournot duopoly model in which two firms, 1 and 2, simultaneously choose the quantities they will sell in the market, q1 and q2. The price each receives for each unity

What are the important forms of product differentiation, What are the impor...

What are the important forms of product differentiation? There are three significant forms of product differentiation, which are: 1. Differentiation through style or type –

Blind auction, Another term for a preserved bid auction in which bidders si...

Another term for a preserved bid auction in which bidders simultaneously submit bids to the auctioneer with no knowledge of the amount bid by other member. Usually, the uppermost b

Draw the strategic form game - nash equilibrium, 1. Consider a two-player g...

1. Consider a two-player game where player A chooses "Up," or "Down" and player B chooses "Left," "Center," or "Right". Their payoffs are as follows: When player A chooses "Up" and

Vickrey auction, A sealed-bid second worth auction during which participant...

A sealed-bid second worth auction during which participants every simultaneously submit bids. The auctioneer discloses the identity of the very best bidder who is said the winner.

Deadlock , Description The simplest of William Poundstone's social dilem...

Description The simplest of William Poundstone's social dilemmas during which the every player contains a dominant strategy and also the equilibrium is Pareto optimal. the sole

Mutual information, Something in a very game is Mutual information if all p...

Something in a very game is Mutual information if all players realize it. A seemingly straightforward concept, mutual information is insufficient to research most games, since it's

First price auction, Two individuals, Player 1 and Player 2, are competing ...

Two individuals, Player 1 and Player 2, are competing in an auction to obtain a valuable object. Each player bids in a sealed envelope, without knowing the bid of the other player.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd