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Bargaining in Dynamic Games [chapter]

Leon A. Petrosyan
2003 ICM Millennium Lectures on Games  
Here we purpose the regularization mechanism similar to IDP we used considering the similar time-inconsistency problem in differential cooperative games.  ...  Consider a Bargaining Problem for each subgame Γ(y , T − t), where y ∈ C (x0, t), and C (x0, t) is the reachability set for system (1).  ... 
doi:10.1007/978-3-662-05219-8_8 fatcat:y4g6zhgxqrdqpgbnphizhee7ay

An Ordinal Bargaining Solution with Fixed-Point Property

D. Zhang, Y. Zhang
2008 The Journal of Artificial Intelligence Research  
Searching for meaningful ordinal solutions, especially for the bilateral bargaining problem, has been a challenging issue in bargaining theory for more than three decades.  ...  This paper proposes a logic-based ordinal solution to the bilateral bargaining problem.  ...  Acknowledgments The authors wish to thank Norman Foo, Michael Thielscher and the anonymous reviewers for their comments.  ... 
doi:10.1613/jair.2656 fatcat:bjr2qj63gjhibbczdm7d7vydzm

Page 1222 of Mathematical Reviews Vol. , Issue 89B [page]

1989 Mathematical Reviews  
E], at the time @. We obtain conditions for finding the value of a differential game in the cases (1) ¥2(@) € K = Intconv{xX/?(@), ¥2(0),---, ¥2(@)}, (2) KPA) ¢ x."  ...  In an attempt to allow for interpersonal comparisons of utility in bargaining situations, the author considers also scale-dependent solutions such as the utilitarian or egalitarian solutions.  ... 

A characterization of a limit solution for finite horizon bargaining problems

Haruo Imai, Hannu Salonen
2011 International Journal of Game Theory  
We investigate a two-person random proposer bargaining game with a deadline.  ...  Regarding this limit as a bargaining solution under deadline, we provide an axiomatic characterization.  ...  T D states that the solution is decomposable along the time dimension. The problems B and B ′ are otherwise the same except that in B there is more time to bargain (T > T ′ ).  ... 
doi:10.1007/s00182-011-0306-6 fatcat:ahgds2fskrdkbjuqhzpjfevgei

Page 3789 of Mathematical Reviews Vol. , Issue 2000e [page]

2000 Mathematical Reviews  
For the general bankruptcy problem, this paper uses a non-game- theoretic pairwise-bargaining consistency approach, introduces an alternative transferable utility game, and applies the solution concepts  ...  (NL-TWEN-A; Enschede) The greedy bankruptcy game: an alternative game-theoretic analysis of a bankruptcy problem. Game theory and applications, IV, 45-61, Nova Sci. Publ., Commack, NY, 1998.  ... 

Page 3430 of Mathematical Reviews Vol. , Issue 84h [page]

1984 Mathematical Reviews  
The solution technique depends on deriving an equivalent system of differential equations. A broad class of firms for which the solution formulas are valid is characterized.”  ...  Here we consider bargaining games which may concern risky outcomes as well as riskless outcomes, and we demonstrate that, in such games, risk-aversion need not always be a disadvantage in bargaining.  ... 

Time Consistency in Cooperative Differential Games: A Tutorial

Georges Zaccour
2008 INFOR. Information systems and operational research  
How can a cooperative agreement made at the start of a dynamic game can be sustained over time? Early work has avoided this question by supposing that the players sign binding agreements.  ...  Scholars in dynamic games have followed different lines of thoughts to answer the question.  ...  I thank Steffen Jørgensen, Gilbert Laporte, Guiomar Martín-Herrán and Leon Petrosjan for their helpful comments. The usual disclaimer applies. Research supported by NSERC, Canada.  ... 
doi:10.3138/infor.46.1.81 fatcat:5dekw5r2cneidktwkselfxcbdu

Page 6310 of Mathematical Reviews Vol. , Issue 91K [page]

1991 Mathematical Reviews  
Specifically, it is shown that under mild assumptions the equilibrium solutions are contin- uously differentiable and formulas for their Fréchet derivatives are derived.” 91k:90047 90A56 90A53 Stephan,  ...  Traditionally the above-mentioned problem of a small investor has been dealt with by assuming a market in which the evolution of assets prices is a continuous-time process.  ... 

Formulas for Fair, Reasonable and Non-Discriminatory royalty determination

David J. Salant
2007 2007 5th International Conference on Standardization and Innovation in Information Technology  
For at least two key solution concepts, the Shapley Value and the Nucleolus, this approach provides a formula for allocating surplus. This approach can be consistent with bargaining models 6 .  ...  More specifically, in some cases, the outcome of a bargaining game can coincide with the solution to a cooperative surplus-sharing game.  ... 
doi:10.1109/siit.2007.4629324 dblp:conf/siit/Salant07 fatcat:p75zjklncfbxrpms6l3a5xnq2y

Logical Properties of Belief-Revision-Based Bargaining Solution [chapter]

Dongmo Zhang, Yan Zhang
2006 Lecture Notes in Computer Science  
We prove that the syntax-independent solution of bargaining satisfies a set of desired logical properties for agreement function and negotiation function.  ...  This paper explores logical properties of belief-revision-based bargaining solution. We first present a syntax-independent construction of bargaining solution based on prioritized belief revision.  ...  These studies have established a qualitative solution to bargaining problem, which differentiates them from the traditional game-theoretic solution [6, 11] . In [16] , Zhang et al.  ... 
doi:10.1007/11941439_12 fatcat:bxyosu4cwbbz7mbyuk5thst6p4

Page 543 of Mathematical Reviews Vol. 50, Issue 2 [page]

1975 Mathematical Reviews  
Caussin, Differential games with time lag (pp. 151-178); Michael D. Ciletti, Differential games with information time lag (pp. 179-268). Part II. Non zero-sum differential games: A. Blaquiére, L.  ...  The paper will be useful for those programming computer solutions of the problem, which arises in calculating Ljapunov functions for stability problems of dynamic systems. P. C.  ... 

Page 2311 of Mathematical Reviews Vol. , Issue 93d [page]

1993 Mathematical Reviews  
Petrosyan], The time consistency of the optimality principles in nonzero sum differential games (299-311).  ...  Klompstra, A nonzero-sum game with variable final time (122-131); Simone Clemhout and Henry Wan, Jr., Environmental problem as a common-property resource game (132-154); A. G.  ... 

Page 1603 of Mathematical Reviews Vol. , Issue 2000b [page]

2000 Mathematical Reviews  
1603 solution for this model, a method for computing and characteriz- ing the eqilibrium prices as the solution to a contraction mapping problem is described.  ...  Formulae for the directional derivatives of these marginal functions for the gen- eral model are developed.  ... 

Comparative Studies on Cooperative Stochastic Differential Game and Dynamic Sequential Game of Economic Maturity

Darong Dai
2012 Social Science Research Network  
Indeed, we have established a basic framework for the comparative study of the cooperative stochastic differential game and dynamic sequential game of economic maturity.  ...  In the paper, we are encouraged to investigate the effect of game structure imposed on the minimum-time needed to economic maturity in a dynamic macroeconomic model.  ...  Theorem 10 (Sub-Game Consistency of the Nash Bargaining Solution\Shapley Value).  ... 
doi:10.2139/ssrn.2214867 fatcat:ra77lt24qbcfhd52nv6dm47324

The Institutional Choice of Bilateralism and Multilateralism in International Trade and Taxation

Thomas Rixen, Ingo Rohlfing
2007 Social Science Research Network  
Agreement is multilateral in trade in order to overcome a free-rider problem that results from an interaction of concerns for distribution and enforcement.  ...  Since such a problem of free-riding does not exist in taxation, there is no need for binding multilateral agreement. Sfb 597 "Staatlichkeit im Wandel" -"Transformations of the State" (WP 31) CONTENTS  ...  Enforcement problems and, to a lesser degree, distribution have been issues in cooperation research for a long time now.  ... 
doi:10.2139/ssrn.1210482 fatcat:imcaezd5vbb4digr6beczgxoya
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