Nash Equilibria, Game Theory

Assignment Help:
Two people are engaged in a joint project. If each person i puts in the effort
xi, the outcome of the project is worth f(x1, x2). Each person’s effort level xi is a number
between [0,1], and effort costs c(xi). The worth of the project is split equally between the
two people, regardless of their effort levels, so the net payoff of each player is
f(x1, x2)/2 - c(xi).
Draw the players Best Responses, and find the Nash equilibria when
(i) f(x1, x2) = 3x1x2 and c(xi) = xi
2
, for i = 1, 2.
(ii) f(x1, x2) = 4x1x2 and c(xi) = xi, for i = 1, 2.
Provide a brief interpretation in each case.

Related Discussions:- Nash Equilibria

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

Cardinal payoffs, Cardinal payoffs are numbers representing the outcomes of...

Cardinal payoffs are numbers representing the outcomes of a game where the numbers represent some continuum of values, such as money, market share or quantity. Cardinal payoffs per

Nash Equilibria, Two people are engaged in a joint project. If each person ...

Two people are engaged in a joint project. If each person i puts in the effort xi, the outcome of the project is worth f(x1, x2). Each person’s effort level xi is a number between

Reserve worth , A reserve worth is that the minimum acceptable bid in an au...

A reserve worth is that the minimum acceptable bid in an auction. If no bidder submits a bid higher than the reserve worth, the auctioneer keeps the item offered for sale. Alternat

Grim trigger strategy, A trigger strategy sometimes applied to repeated pri...

A trigger strategy sometimes applied to repeated prisoner's dilemmas during which a player begins by cooperating within the initial amount, and continues to cooperate till one defe

Cournot learning, The Cournot adjustment model, initial proposed by Augusti...

The Cournot adjustment model, initial proposed by Augustin Cournot within the context of a duopoly, has players choose methods sequentially. In every amount, a firm selects the act

equilibrium refinement, An equilibrium refinement provides how of choosing...

An equilibrium refinement provides how of choosing one or many equilibria from among several in a very game. several games might contain many Nash equilibria, and therefore supply

Calculate the expected payout, James and Dean are playing the Chicken game....

James and Dean are playing the Chicken game. They have noticed that their payout for being perceived as "tough" depends on the size of the crowd. The larger the crowd, the "cooler"

Green –beard strategy, 1  A, Explain how a person can be free to choose but...

1  A, Explain how a person can be free to choose but his or her choices are casually determined by past event 2  B , Draw the casual tree for newcomb's problem when Eve can't pe

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