first price auction, Game Theory

Assignment Help:
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. The bids must be in multiples of $100 and the maximum they can bid is $500 (lowest 0). The object is worth $400 to player 1 and $300 to player 2. The highest bidder wins the object. In case of a tie player 1 gets the object. The winner pays a price p to be specified below. So, if the value of the object for player i is x and player i wins the object her payoff is x-p; If she does not win her payoff is zero.

(First price auction) In this case, the winner of the object pays the price he bids.

Answer the following questions for the first price auction:

(a) Write down the strategic form of this game

(b) Identify any strictly dominating and weakly dominating strategies for both players.

(c) What is the Nash equilibrium using IEDS?

Related Discussions:- first price auction

Games with sequential moves:rollback equilibrium, Rollback shows that Boein...

Rollback shows that Boeing chooses peace over war if Airbus enters, so Airbus will enter. Rollback equilibrium entails Airbus playing “Enter” and Boeing playing “Peace if entry”; e

Formal rules for identification, Identification may be established either ...

Identification may be established either by the examination of the specification of the structural model, or by the examination of the reduced form of the model. Traditionally

Paired prisoners'' dilemma, Paired Prisoners' Dilemma Students can be p...

Paired Prisoners' Dilemma Students can be paired off and instructed to play several ver-sions of a particular game with a prisoners' dilemma structure.Provide each pair with a

Zero restriction, A priori knowledge usually enables us to decide that some...

A priori knowledge usually enables us to decide that some coefficients must be zero in the particular equation, while they assume non-zero values in other equations of the system.

English auction, A type of sequential second worth auction during which an ...

A type of sequential second worth auction during which an auctioneer directs participants to beat the present, standing bid. New bids should increase the present bid by a predefine

Find the nash equilibria of game - bimatrix of strategies, Players 1 and 2 ...

Players 1 and 2 are bargaining over how to split one dollar. Both players simultaneously name shares they would like to keep s 1 and s 2 . Furthermore, players' choices have to be

Bidding ring, A set of colluding bidders. Ring participants agree to rig bi...

A set of colluding bidders. Ring participants agree to rig bids by agreeing not to bid against each other, either by avoiding the auction or by placing phony (phantom) bids.

Volunteer''s dilemma , Scenario As described by William Poundstone, imag...

Scenario As described by William Poundstone, imagine that you just notice that electricity has gone out for your entire neighborhood. the electrical company can send somebody to

Strategies against hostage takers, Strategies against Hostage Takers T...

Strategies against Hostage Takers T ypical Situations Terrorists: usually have several hostages, demands are polit- ical, may be fanatics, location may be public or sec

Positive add, In a positive add game, the combined payoffs of all players a...

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

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