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, The interaction among rational, mutually aware players, where the cho...

The interaction among rational, mutually aware players, where the choices of some players impacts the payoffs of others. A game is described by its players, every player's methods,

Edgeworth, Living from 1845 to 1926, Edgeworth's contributions to Economics...

Living from 1845 to 1926, Edgeworth's contributions to Economics still influence trendy game theorists. His Mathematical Psychics printed in 1881, demonstrated the notion of compet

Game playing in class-equilibrium payoffs example, (a) Equilibrium payoffs ...

(a) Equilibrium payoffs are (1, 0). Player A’s equilibrium strategy is S; B’s equilibrium strategy is “t if N.”   For (a): Player A has two strategies: (1) N or (2) S. P

Common information, An item of information of data in a very game is common...

An item of information of data in a very game is common grasp ledge if all of the players realize it (it is mutual grasp ledge) and every one of the players grasp that each one dif

Extraneous estimates, Extraneous Estimates If some parameters are identi...

Extraneous Estimates If some parameters are identified, while others are not and there exists information on their value from other (extraneous) sources, the researcher may pro

All-pay auction, A type of auction in which the highest bidder is rewarded ...

A type of auction in which the highest bidder is rewarded the object, but all bidders pay the auctioneer their bids. This differs from traditional first price auctions in which onl

Quiz to generate a grid, 1.a.out 2 1 Here is the grid that has been gene...

1.a.out 2 1 Here is the grid that has been generated: 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0

State the profit maximization problem of firm, 1. Consider two firms produc...

1. Consider two firms producing an identical product in a market where the demand is described by p = 1; 200 2Y. The corresponding cost functions are c 1 (y 1 ) = y 2 1 and c 2

Bidder, An auction associates who submits offers (or bids) to sale or buy  ...

An auction associates who submits offers (or bids) to sale or buy  the goods being auctioned.

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.

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