2 edition of **Equilibrium and perfection in discounted supergames** found in the catalog.

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- 20 Currently reading

Published
**1981**
by College of Commerce and Business Administration, Bureau of Economic and Business Research, University of Illinois, Urbana-Champaign in [Urbana]
.

Written in English

**Edition Notes**

Bibliography: p. 33.

Statement | Jonathan A.K. Cave, Assistant Professor, Department of Economics |

Series | BEBR faculty working paper -- no. 825, BEBR faculty working paper -- no. 825. |

The Physical Object | |
---|---|

Pagination | 33 p. ; |

Number of Pages | 33 |

ID Numbers | |

Open Library | OL24617797M |

OCLC/WorldCa | 8235796 |

CHAPTER REPEATED GAMES 1 Enter 2 Acc. (2,2) X. Fight (1,3) (0,0) Notice that we simply added the unique subgame-perfect equilibrium payoﬀ of 1 from the second day to each payoﬀ in the stage game. Again, adding a constant to a player’s payoﬀs does not change the game, and hence the reduced game possesses the. Backward Induction and Subgame Perfection In extensive-form games, we can have a Nash equilibrium proﬁle of strategies where player 2’s strategy is a best response to player 1’s strategy, but where she will not want to carry out her plan at some nodes of the game tree. For example, consider the following game, given in both.

• The discount factor (折现因子)δ (0 ≤ δ ≤ 1) denotes how much a future payoﬀ is valued at the current period, or how patient a player is. If a player has a δ of.8, then $ tomorrow is equivalent to $80 today for her. • Relationship between discount factor (δ) and discount rate/interest rate (r, 折现 . Demand, Supply, and Equilibrium in Markets for Goods and Services Shifts in Demand and Supply for Goods and Services Changes in Equilibrium Price and Quantity: The Four-Step Process.

A deft reinterpretation of the most zealously interpreted picture in the Western canon as a therapeutic artifact. Albrecht Dürer's famous portrayal of creative effort in paralysis, the unsurpassed masterpiece of copperplate engraving titled Melencolia I, has stood for centuries as a pictorial summa of knowledge about the melancholic temperament, a dense allegory of the limits of earthbound. Andreu Mas-Colell revolutionized our understanding of competitive markets, price formation, and the behavior of market participants. General Equilibrium and Game Theory offers readers a compendium of his most important scholarly contributions, gathering in a single volume the groundbreaking papers that have solidified his standing as one of the preeminent economic theorists of our : Hardcover.

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In this paper, we discuss equilibrium and perfect equilibrium in a simplified model of the supergame. We assume that players can observe Cited by: 6. EquilibriumandPerfectioninDiscountedSupergames,I: PublicLotteries I. Introduction Thispaperdealswithsomeresultsonthecharacterisationofpay. The set paths (S (T)) equals the set of subgame-perfect pure-strategy equilibrium paths of the supergame.

The above result means that any subgame-perfect equilibrium path follows a ‘syntax’, in which for each action profile on the path there is an elementary Cited by: Equilibrium Paths in Discounted Supergames This paper characterizes the subgame-perfect pure-strategy equilibrium paths in discounted supergames with perfect monitoring.

It is shown that all the equilibrium paths are composed of fragments called elementary subpaths. This article examines the subgame perfect pure strategy equilibrium paths and payoff sets of discounted supergames with perfect monitoring.

The main contribution is to provide methods for computing and tools for analyzing the equilibrium paths and payoffs in repeated games. This paper characterizes the subgame-perfect pure-strategy equilibrium paths in discounted supergames with perfect monitoring.

It is shown that all the equilibrium paths. Equilibrium and perfection in discounted supergames, 1: public lotteries / BEBR No. By Jonathan A.K. Cave Get PDF (2 MB). Abstract This paper characterizes the subgame-perfect pure-strategy equilibrium paths in discounted supergames with perfect monitoring.

It is shown that all the equilibrium paths. Vol Issue 1, ISSN: (Print) OriginalPaper. Computation of the nucleolus of some bilateral market games.

Legros Pages OriginalPaper. Equilibrium and perfection in discounted supergames. Cave Pages OriginalPaper.

Equilibrium and perfection in discounted supergames. Cave Pages This paper examines the subgame-perfect equilibria in symmetric 2×2 supergames. We solve the smallest discount factor value for which the players obtain all the feasible and individually rational payoffs as equilibrium payoffs.

We show that the critical discount factor values are not that high in many games and they generally depend on how large the payoff set is compared to the set of.

Discusses the equilibrium in supergames with evaluation relations determined according to overtaking criterion. Differences between the situation of players undertaking to play a single game, and players who know that they will play the same game repeatedly in the future; Influence of the power of the threats on the existence of equilibrium points.

This paper examines the subgame-perfect mixed-strategy equilibria in discounted supergames. We present a method that finds all the equilibrium payoffs. Then, the folk theorem guarantees that it is possible to approach u in equilibrium to any desired precision (for every ε there exists a Nash equilibrium where the payoff profile is a distance ε away from u).

Subgame perfection. Attaining a subgame perfect equilibrium in discounted games is more difficult than in undiscounted games. The cost. In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games.A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.

Informally, this means that if the players played any smaller game that consisted of only one part of the larger game, their.

Sequential Equilibrium in Games of Imperfect Recall Joseph Y. Halpern Cornell University [email protected] Rafael Passy Cornell University [email protected] First version: October, This version: April 2, Abstract De nitions of sequential equilibrium and perfect equilibrium are given in games of imperfect recall.

Equilibrium gives Christian Bale the chance to become a straight forward dramatic actor. While this isn't hugely a drama, Bale's character is. I hope that makes sense to you. This movie hints at futures we have seen in many films, books and theater.

Cleric John Preston (Bale) is the government's answer to eradication of s: K. Trembling-Hand-Perfection Alternative Definition •(1a) and (1b) are consistency and sequential rationality, the defining properties of a sequential equilibrium. This proves the second sentence of the Theorem.

•From (2): sequential rationality is required only at the limit for a sequential equilibrium, but. Subgames • A subgame is a part of an extensive form game that constitutes a valid extensive form game on its own Deﬁnition A node x initiates a subgame if all the information sets that contain either x or a successor of x contain only nodes that are successors of x.

The subgame initialized at x is the extensive form game conformed by x and all of its successors • Notice that the main. InJohn F. Nash proved that every game has a Nash equilibrium [Ann.

of Math.(2), 54 (), pp. His proof is nonconstructive, relying on Brouwer's fixed point theorem, thus leaving open the questions, Is there a polynomial-time algorithm for computing Nash equilibria. The dominant strategy equilibrium to this game is (Low, Low). It is clearly a subgame perfect equilibrium for the players to just play (Low, Low) over and over again because, if that is what Firm 1 thinks that Firm 2 is doing, Firm 1 does best by pricing Low, and vice versa.

But that is not the only equilibrium to the supergame. Subgame perfection requires each player to act in its own best interest, independent of the history of the game. Subgame perfection was introduced by Nobel laureate Reinhard Selten (–).

This seems very sensible and, in most contexts, it is sensible. In some settings, it may be implausible.Rubinstein, AEquilibrium in supergames. in N Meggiddo (ed.), Essay in game theory in honor of Michael Maschler.

Springer-Verlag, pp. Rubinstein A. Equilibrium in supergames.FRIEDMAN EQUILIBRIUM FOR SUPERGAMES 3 It remains in this section to define " non-cooperative equilibrium ", and prove its existence for ordinary games of the sort under study in this section.

s* is a non-cooperative equilibrium strategy vector if s* e S and 7i(s*)= max ti(s*, si), i .