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Questions tagged [extensive-games]

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1
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1answer
41 views

Rigorous solution of Stackelberg leader-follower game with N-players?

In the classical two-player Stackelberg game (sequential Cournot) we have a linear demand function $P = 1 - Q$ where $Q = \sum_0^2 q_i $, and we assume homogenous production cost $c$. By starting from ...
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0answers
31 views

Game of Price Gouging (1st Degree PD)

I am currently modeling a game that shows price gouging is socially beneficial under the right conditions. The question is, I am only evaluating one good and not the classic two good case, so should ...
2
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1answer
139 views

Game theory - Write a maximization problem (with restriction)

I have a problem with finding a way how to solve this example: We have the company, which has two types of customers indexed as $H$ and $L$. We assume: $θ_H > θ_L$. Quantity$(Q)$ of $H$ indexed ...
4
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2answers
65 views

Proper definition of extensive form game

Consider the following game: Let $N := \{1,2,3,4\}$ denote a set of agents. Going from 1 to 4 each agent can decide how many of the remaining agents he wants to integrate into a coalition. The ...
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0answers
52 views

Game of Imperfect Informatiom

I have a game that I am trying to solve for here: My question is, due to the information set, can the game be solved with sub-perfect refinement?
0
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1answer
93 views

Exercise about Monopoly price charging

In a two-period lived economy, one consumer wishes to buy a TV set in period 1. The consumer lives for two periods, and is willing to pay a maximum price of $100 per period of TV usage. In period ...
2
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1answer
233 views

How to demonstrate that a game always have a subgame-perfect equilibrium in pure strategies?

If I have an specific extensive game, with only a finite set of strategies, how can I demonstrate that the game always have a subgame-perfect equilibrium in pure strategies? My first intuition was to ...
5
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4answers
126 views

Extensive form of multiplayer games

I want to model an interaction between a government and its citizens using the game theory extensive form, but I want to express the posibility that the citizens don't act as a unique agent. For ...
1
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1answer
36 views

Quality Provision Game

A seller owns a single unit of an invisible good. It is worth $v(s)$ to a buyer, where $s ∈ R^+$ is the quality of the good. The function $v(·)$ is strictly increasing and strictly concave with $v(0) =...
3
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1answer
55 views

Extensive Form Games

( The game of “ chicken”) Two cars are driving at each other at great speeds. If nobody changes directions, in 3 seconds they will collide and die a gruesome death, yielding payoffs of −100 for both ...
2
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1answer
56 views

Terminology for “part” of extensive form game

How should I call a "part" of an extensive form game which is neither (i) a subgame, nor (ii) a stage in a repeated game? For instance, consider the class of games constructed by "stacking" 2 ...
6
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1answer
6k views

Difference between Sequential and Weak Sequential (Weak Perfect Bayesian) Equilibria?

This is in reference to the Game theoretic concepts as Nash equilibrium refinements. Sequential equilibrium are often defined as satisfying two conditions: consistency and sequential rationality. ...
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2answers
189 views

Proof of nestedness of subgame perfect equilibria

Below is a lemma which I believe to be true and which I would like to use to derive other results Take any two games in extensive form (complete information) $\Gamma$ and $\Gamma'$ differing only ...