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

Game 3 bargaining, GAME 3 Bargaining Two players A and B are chosen. P...

GAME 3 Bargaining Two players A and B are chosen. Player A offers a split of a dollar (whole dimes only). If B agrees, both get paid the agreed coins and the game is over. If

Find the quantities that firm is selling – equilibrium price, 1. Two firms,...

1. Two firms, producing an identical good, engage in price competition. The cost functions are c 1 (y 1 ) = 1:17y 1 and c 2 (y 2 ) = 1:19y 2 , correspondingly. The demand functi

Ordinally symmetric game, Ordinally Symmetric Game Scenario Any game dur...

Ordinally Symmetric Game Scenario Any game during which the identity of the player doesn't amendment the relative order of the ensuing payoffs facing that player. In different w

Kakutani, Twentieth century mathematician who expanded on earlier fastened ...

Twentieth century mathematician who expanded on earlier fastened purpose theorems. a hard and fast purpose theorem defines the conditions on a perform, f(x), beneath that there exi

Application of twenty one card game, This version of Twenty-one is a card g...

This version of Twenty-one is a card game played between a player and the dealer (the computer). The aim of the game is to accumulate a higher point total than the dealer but witho

Sealed bid auction, An auction during which bidders simultaneously submit b...

An auction during which bidders simultaneously submit bids to the auctioneer while not information of the number bid by different participants. Usually, the very best bidder (or lo

Best reply dynamic, The best reply dynamic is usally termed the Cournot adj...

The best reply dynamic is usally termed the Cournot adjustment model or Cournot learning after Augustin Cournot who first proposed it in the context of a duopoly model. Each of two

Mba , in a rectangular game pay off matrix of player a is as follows B1 B2 ...

in a rectangular game pay off matrix of player a is as follows B1 B2 A1 5 7 A2 4 0 salve the game write down the pay off matrix of B and then solve the game.

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

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