List of
games in Chapter 5 The Extensive Form Using Comlabgames |
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Game
title (right click on the game to download it) |
Short
description of the experiment |
There are three
players, an entrant and two retailers, respectively called big monopolist and
small monopolist, which currently hold regional monopolies in the localities
they serve. The entrant decides which market to enter, or to stay out. In the
absence of competition the big and small monopolies have present values of
$20 million and $10 million respectively. If the entrant establishes itself
in the large market, and the big monopolist holds a sale, the entrant loses
$5 million and the profits of the big monopolist are cut in half. If the big
monopolist colludes with the entrant, the newcomer makes $5 million and the
big monopolist earns $15 million. In either case the profits of the small
monopolist are unaffected. The payoffs to the firms when the entrant
establishes itself in the small monopolist's territory are interpreted in an
analogous fashion. |
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A recruiting
committee has just interviewing a pool of applicants, and found that only one
of them is suitable for the job. If any of the others were hired, the firm
would actually lose money, after taking into account their compensation. If
they make an offer to best current applicant, the firm will gain $1 million
if she accepts the offer and lose $0.5 million if she rejects the package.
The compensation package itself pays $200,000 and her current salary is
$150,000. An alternative to making an offer is to advertise the position
again in the hope of finding a better qualified applicant willing to join the
firm. In this game, the
recruiting committee moves first choosing to offer the best current applicant
the job or continue searching by placing another advertisement in the
professional journals. If the current applicant is offered the job, she
decides whether to accept the position or not. If the best current applicant
is rejected and the firm continues searching, a random variable determines whether
another applicant will show up. The search process has four fifth probability
of being successful, and revealing a more suitable candidate. In this case
the new candidate now has the choice of accepting the position or rejecting
it. If a new candidate accepts the position her compensation package would be
$210,000 while her current salary is $170,000. The firm will gain $1.3
million if the candidate accepts it, and lose $0.8 million if the offer is
rejected. With one fifth probability the search process is not successful and
the company looses $ 0.7 million, and the second applicant is offered a
compensation package of $220,000 by another firm. |
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In the game of
matching pennies, Player 1 places a penny flat on the table with his hand
covering it, simultaneously choosing whether the coin's head or tail is
facing up. Then Player 2 places a penny on the table either showing a head or
a tail. Finally Player 1 removes his hand. If a tail appears on one coin and
a head on the other Player 2 wins both coins. Otherwise Player 1 pockets them
both. There are three decision nodes, four terminal nodes, and six branches
representing the choices that the two players might make. Since Player 2 must
make her choice after Player 1 has made his choice, there are two nodes at
which he must choose, after Player 1 has placed a head face upwards, and also
after Player 1 has placed a Tail face upwards. However the rules of the game
prevent Player 2 from seeing the choice of Player 1 until after he has placed
his coin on the table. |
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5.4: Perfect information of Matching
pennies in extensive form |
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There are two oil
producers who decide how much oil to extract for sale. Each producer chooses
the quantity without knowing what the other producer has chosen. The demand
for oil is described by the equation p(q) = 40 – 2q.
Total cost for each producer is TC= qi.
Producer 1 has a choice of selecting 4, 6, 8, or 10 barrels of oil and
producer 2 has a choice of 4, 6 or 8 barrels. The profit for each choice is
calculated based on the demand equation and total costs. Each producer does
not know the move of the other producer but both know the payoffs for each of
the possible choices. |
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An example of a perfect
foresight game: at the beginning of the game a potential entrant decides
whether to enter a whale watching tour boat industry in an isolated vacation
resort which is currently served by a single operator. There is a fixed entry
cost of $1
million for the new entrant for plant, and constant variable costs. If the
new firm enters, the incumbent firm decides whether to discount its product
or collude with the new entrant. The monopoly rent from this industry is $3
million. At the initial node, the first potential entrant (Entrant 1) has a
choice to either enter or not enter tour boat industry. If he enters he might
be facing Entrant 2 if he enters the market. Each time another competitor
enters the profit is decreased by $1 million to the incumbents. The game has
four potential entrants. |
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An example of a
simultaneous move game: Airbus receives launch aid from the EU, which reduces
its financing costs, and Boeing receives aid for its military contracts,
which the Europeans argue support the company’s civilian operations. The |
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The following
example draws from a recent dispute between an Australian coal company and
the union. Company believed it would win 10% of the workforce to non-union individual
contracts immediately, and then the majority of the workforce within a few
weeks. The union had a choice to ignore the company's action with respect to
individual contracts or to initiate a strike to achieve a collective
agreement quickly and to stop gradual defections from the union. If union
goes on strike the company can sign a collective agreement or continue de-unionizing.
If a company selects to de-unionize than both company and the union
simultaneously decides between settle the dispute and continue with strike if
union and continue to de-unionize if company. |
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A country is
infiltrated by a spy who passes information back to his own country about the
directions the country is likely to take. A country decides between assault and
bomb. The spy sees the country’s decision and his possible choices are: assault
and bomb. The attacked country does not observe the first country’s decision
but sees the report by the spy. |