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Journal articles on the topic 'Uniqueness of equilibrium'

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Author: Grafiati

Published: 10 March 2023

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1

Yu, Jian, Dingtao Peng, and Shuwen Xiang. "Generic uniqueness of equilibrium points." Nonlinear Analysis: Theory, Methods & Applications 74, no. 17 (December 2011): 6326–32. http://dx.doi.org/10.1016/j.na.2011.06.011.

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2

Loi, Andrea, and Stefano Matta. "Curvature and uniqueness of equilibrium." Journal of Mathematical Economics 74 (January 2018): 62–67. http://dx.doi.org/10.1016/j.jmateco.2017.11.002.

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3

Solan, Eilon, and Nicolas Vieille. "Equilibrium uniqueness with perfect complements." Economic Theory 28, no. 3 (August 2006): 721–26. http://dx.doi.org/10.1007/s00199-005-0645-2.

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4

BAUER, CHRISTIAN. "SOLUTION UNIQUENESS IN A CLASS OF CURRENCY CRISIS GAMES." International Game Theory Review 07, no. 04 (December 2005): 531–43. http://dx.doi.org/10.1142/s0219198905000697.

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A common feature of many speculative attack models on currencies is the existence of multiple equilibrium solutions. When choosing the equilibrium strategy, a trader faces Knightian uncertainty about the rational choice of the other traders. We show that the concept of Choquet expected utility maximization under Knightian uncertainty leads to unique equilibria. In games of incomplete information the optimal strategy maximizes the expected utility with respect to a two-dimensional information: environment and rationality. We define a new concept of equilibria, the Choquet-expected-Nash-equilibria, which allows the analysis of decisions under uncertainty, which result in multiple equilibria in standard analysis. We provide uniqueness theorems for a wide class of incomplete information games including global games and apply them to fairly general currency attack models. The uniqueness of the equilibrium remains valid for arbitrary noise distributions, positively correlated signals, the existence of large traders, individual payoff functions, and for the case that non attacking traders suffer a loss in case of a successful attack, as is the case for investors in the attacked country.

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5

Aase, Knut K. "Equilibrium in a Reinsurance Syndicate; Existence, Uniqueness and Characterization." ASTIN Bulletin 23, no. 2 (November 1993): 185–211. http://dx.doi.org/10.2143/ast.23.2.2005091.

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AbstractThis paper attempts to give an overview of the pricing of risks in a pure exchange economy, where trade takes place at time zero and where uncertainty is revealed at time one. An economic equilibrium model under uncertainty is formulated, where conditions characterizing a Pareto optimal exchange equilibrium are derived. We present two sets of sufficient conditions for the existence of an equilibrium, and demonstrate how equilibria can be characterized through several examples. Uniqueness of equilibrium is also discussed. Special attention is given to the principal components that the premiums in a reinsurance market must depend upon. We also apply the general theory to the risk exchange problem between a policyholder and an insurer, and in particular we compute market premiums of the resulting optimal contracts.It is emphasized throughout how the formulation of a competitive equilibrium, rather than merely a general risk exchange formulation, is of particular interest in deriving a well-defined and unique set of equilibrium premiums in an insurance market. The theory is put into a framework which is fruitful for extensions beyond the one-period case.

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6

Putra, Roni Tri. "Analisis Eksistensi dan Ketunggalan Solusi Model Epidemi SEIR." Jurnal Ilmiah Poli Rekayasa 10, no. 1 (October 15, 2014): 65. http://dx.doi.org/10.30630/jipr.10.1.58.

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In this paper, it will be studied existence and uniqueness solution of equilibrium points for a SEIR model with infectious force in latent, infected and immune period. From the model it will be found investigated the existence and uniqueness solution of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

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7

von Mouche, P., and F. Quartieri. "Cournot equilibrium uniqueness via demi-concavity." Optimization 67, no. 4 (December 10, 2017): 441–55. http://dx.doi.org/10.1080/02331934.2017.1405954.

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8

Hirata, Daisuke, and Toshihiro Matsumura. "On the uniqueness of Bertrand equilibrium." Operations Research Letters 38, no. 6 (November 2010): 533–35. http://dx.doi.org/10.1016/j.orl.2010.08.010.

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9

Mukherji, Anjan. "On the uniqueness of competitive equilibrium." Economic Theory 10, no. 3 (September 17, 1997): 509–20. http://dx.doi.org/10.1007/s001990050170.

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10

Kantorovich, Ye G. "Equilibrium Models of Spatial Interaction with Locational-Capacity Constraints." Environment and Planning A: Economy and Space 24, no. 8 (August 1992): 1077–95. http://dx.doi.org/10.1068/a241077.

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Two types of equilibrium models of urban spatial structures are considered. An equilibrium version of the production-constrained spatial interaction model involving zonal-capacity constraints on allocation is investigated. A model of equilibrium for interacting subsystems is defined (it is a generalisation of Nash equilibria and of some Lowry-type models) and connections between this model and Nash equilibria are investigated. An entropy-projection operator is used for equilibrium urban models with zonal-capacity constraints. Problems of uniqueness of an equilibrium and the convergence of the iterative computational process are studied for these models.

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11

Kehoe, Timothy J., and John Whalley. "Uniqueness of equilibrium in large-scale numerical general equilibrium models." Journal of Public Economics 28, no. 2 (November 1985): 247–54. http://dx.doi.org/10.1016/0047-2727(85)90072-6.

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12

Ávila-Vales, Eric, Abraham Canul-Pech, and Erika Rivero-Esquivel. "Global stability of a distributed delayed viral model with general incidence rate." Open Mathematics 16, no. 1 (December 26, 2018): 1374–89. http://dx.doi.org/10.1515/math-2018-0117.

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AbstractIn this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria. By using the Lyapunov functional and LaSalle invariance principle, we obtained the conditions of global stabilities of the infection-free equilibrium, the immune-exhausted equilibrium and the endemic equilibrium. Numerical simulations are given to verify the analytical results.

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13

Putra, Roni Tri, Sukatik, and Sri Nita. "Kestabilan Model Epidemi SEIR Dengan Laju Insidensi." Jurnal Ilmiah Poli Rekayasa 10, no. 2 (April 14, 2015): 74. http://dx.doi.org/10.30630/jipr.10.2.77.

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In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with incidence rate. From the model it will be found investigated the existence and uniqueness solution of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

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14

Putra, Roni Tri. "Model Epidemi Seir dengan Insidensi Standar." Jurnal Ilmiah Poli Rekayasa 12, no. 1 (October 14, 2016): 73. http://dx.doi.org/10.30630/jipr.12.1.37.

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In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with standard incidence. From the model it will be found investigated the existence and uniqueness solution of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

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15

Putra, Roni Tri, and Quinoza Guvil. "Kestabilan Model Epidemi Dengan Laju Insidensi Jenuh." Jurnal Ilmiah Poli Rekayasa 13, no. 1 (October 16, 2017): 43. http://dx.doi.org/10.30630/jipr.13.1.64.

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In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with saturated incidence. From the model it will be found investigated the existence and uniqueness solution of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue.

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16

Giménez, Eduardo L. "Offer curves and uniqueness of competitive equilibrium." Journal of Mathematical Economics 98 (January 2022): 102575. http://dx.doi.org/10.1016/j.jmateco.2021.102575.

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17

Gangbo, Wilfrid, and Roberto Van der Putten. "Uniqueness of Equilibrium Configurations in Solid Crystals." SIAM Journal on Mathematical Analysis 32, no. 3 (January 2000): 465–92. http://dx.doi.org/10.1137/s0036141099356684.

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18

Bai, Fan. "Uniqueness of Nash equilibrium in vaccination games." Journal of Biological Dynamics 10, no. 1 (January 2016): 395–415. http://dx.doi.org/10.1080/17513758.2016.1213319.

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19

Watts, Alison. "Uniqueness of equilibrium in cost sharing games." Journal of Mathematical Economics 37, no. 1 (February 2002): 47–70. http://dx.doi.org/10.1016/s0304-4068(02)00005-8.

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20

Kim, Jaehong, and Gabriele Camera. "Uniqueness of equilibrium in directed search models." Journal of Economic Theory 151 (May 2014): 248–67. http://dx.doi.org/10.1016/j.jet.2013.11.004.

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21

Li, Jinlu, and Shuanglin Lin. "EXISTENCE AND UNIQUENESS OF STEADY-STATE EQUILIBRIUM IN A GENERALIZED OVERLAPPING GENERATIONS MODEL." Macroeconomic Dynamics 16, S3 (June 9, 2011): 299–311. http://dx.doi.org/10.1017/s1365100510000878.

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Galor and Ryder [Journal of Economic Theory 49 (1989), 360–375] establish conditions for the existence of equilibrium in a Diamond-type overlapping-generations (OLG) model. Although theoretically appealing, these conditions are implicit and not convenient to apply. This paper provides explicit and easily applied conditions for the existence and uniqueness of steady-state equilibrium, with which one only needs to check the first derivatives of the production and utility functions and their interactions, with no need to solve the optimization problem. Our theorems on the existence and uniqueness of steady-state equilibrium can be applied to a larger class of OLG models that do not require second-order differentiability of the production and utility functions. We present examples to show how to check the existence and uniqueness of equilibrium.

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22

YAN, HUIBIN. "UNIQUENESS IN RANDOM-PROPOSER MULTILATERAL BARGAINING." International Game Theory Review 11, no. 04 (December 2009): 407–17. http://dx.doi.org/10.1142/s0219198909002406.

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Solution uniqueness is an important property for a bargaining model. Rubinstein's (1982) seminal 2-person alternating-offer bargaining game has a unique Subgame Perfect Equilibrium outcome. Is it possible to obtain uniqueness results in the much enlarged setting of multilateral bargaining with a characteristic function? This paper investigates a random-proposer model first studied in Okada (1993) in which each period players have equal probabilities of being selected to make a proposal and bargaining ends after one coalition forms. Focusing on transferable utility environments and Stationary Subgame Perfect Equilibria (SSPE), we find ex ante SSPE payoff uniqueness for symmetric and convex characteristic functions, considerably expanding the conditions under which this model is known to exhibit SSPE payoff uniqueness. Our model includes as a special case a variant of the legislative bargaining model in Baron and Ferejohn (1989), and our results imply (unrestricted) SSPE payoff uniqueness in this case.

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23

Tang, Ao, Jiantao Wang, Steven H. Low, and Mung Chiang. "Equilibrium of Heterogeneous Congestion Control: Existence and Uniqueness." IEEE/ACM Transactions on Networking 15, no. 4 (August 2007): 824–37. http://dx.doi.org/10.1109/tnet.2007.893885.

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24

Murray, Brown, and Lee Sanghack. "Tariffs and the Uniqueness of Nash-Cournot Equilibrium." International Economic Journal 7, no. 1 (March 1993): 1–12. http://dx.doi.org/10.1080/10168739300000017.

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25

Milchtaich, Igal. "Generic Uniqueness of Equilibrium in Large Crowding Games." Mathematics of Operations Research 25, no. 3 (August 2000): 349–64. http://dx.doi.org/10.1287/moor.25.3.349.12220.

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26

Peitz, Martin. "Equilibrium uniqueness in oligopoly games with strategic complements." Economics Letters 65, no. 3 (December 1999): 347–51. http://dx.doi.org/10.1016/s0165-1765(99)00167-6.

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27

Maskin, Eric, and John Riley. "Uniqueness of equilibrium in sealed high-bid auctions." Games and Economic Behavior 45, no. 2 (November 2003): 395–409. http://dx.doi.org/10.1016/s0899-8256(03)00150-7.

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28

Rybicki, George B. "Properties of Statistical Equilibrium Equations: Positivity and Uniqueness." Astrophysical Journal 479, no. 1 (April 10, 1997): 357–62. http://dx.doi.org/10.1086/303877.

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29

McLennan, A., P. K. Monteiro, and R. Tourky. "On uniqueness of equilibrium in the Kyle model." Mathematics and Financial Economics 11, no. 2 (June 20, 2016): 161–72. http://dx.doi.org/10.1007/s11579-016-0175-7.

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30

Heidemann, R. A. "Comments on on the uniqueness in equilibrium calculations." Chemical Engineering Science 42, no. 11 (1987): 2797–98. http://dx.doi.org/10.1016/0009-2509(87)87036-7.

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31

Currier, Kevin M. "Existence and uniqueness of marginal cost pricing equilibrium." Atlantic Economic Journal 25, no. 3 (September 1997): 312–17. http://dx.doi.org/10.1007/bf02298413.

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32

Farinha Luz, Vitor. "Characterization and uniqueness of equilibrium in competitive insurance." Theoretical Economics 12, no. 3 (September 2017): 1349–91. http://dx.doi.org/10.3982/te2166.

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33

Milchtaich, Igal. "Topological Conditions for Uniqueness of Equilibrium in Networks." Mathematics of Operations Research 30, no. 1 (February 2005): 225–44. http://dx.doi.org/10.1287/moor.1040.0122.

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34

Folmer, Henk, and Pierre von Mouche*. "ON A LESS KNOWN NASH EQUILIBRIUM UNIQUENESS RESULT." Journal of Mathematical Sociology 28, no. 2 (April 2004): 67–80. http://dx.doi.org/10.1080/00222500490448190.

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35

Lebrun, Bernard. "Uniqueness of the equilibrium in first-price auctions." Games and Economic Behavior 55, no. 1 (April 2006): 131–51. http://dx.doi.org/10.1016/j.geb.2005.01.006.

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36

Eraslan, Hülya, and Andrew McLennan. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining." Journal of Economic Theory 148, no. 6 (November 2013): 2195–222. http://dx.doi.org/10.1016/j.jet.2013.09.007.

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37

Light, Bar. "Uniqueness of equilibrium in a Bewley–Aiyagari model." Economic Theory 69, no. 2 (December 13, 2018): 435–50. http://dx.doi.org/10.1007/s00199-018-1167-z.

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38

Brown, Murray, Shin-Hwan Chiang, and Kenji Yamamoto. "Uniqueness of equilibrium for smooth multistage concave games." Games and Economic Behavior 3, no. 4 (November 1991): 393–402. http://dx.doi.org/10.1016/0899-8256(91)90011-3.

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39

Quintas, Luis G. "Uniqueness of nash equilibrium points in bimatrix games." Economics Letters 27, no. 2 (January 1988): 123–27. http://dx.doi.org/10.1016/0165-1765(88)90083-3.

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40

Okamura, Makoto, Koichi Futagami, and Takao Ohkawa. "On The Stackelberg Equilibrium Existence,Uniqueness and Stability." Indian Economic Journal 45, no. 4 (June 1998): 87–100. http://dx.doi.org/10.1177/0019466219980406.

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41

RIOS, I., and J. SIQUEIRA. "On equilibrium states for partially hyperbolic horseshoes." Ergodic Theory and Dynamical Systems 38, no. 1 (July 4, 2016): 301–35. http://dx.doi.org/10.1017/etds.2016.21.

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We prove the existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Hölder continuous potentials with small variation. The family comes from the projection, on the center-unstable direction, of a family of partially hyperbolic horseshoes introduced by Díaz et al [Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes. Ergod. Th. & Dynam. Sys.29 (2009), 433–474]. For the original three-dimensional system we consider potentials with small variation, constant on local stable manifolds, obtaining existence and uniqueness of equilibrium states.

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42

Wang, Yanyan, and Jianping Zhou. "Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions." Abstract and Applied Analysis 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/109319.

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Cohen-Grossberg neural networks with discontinuous activation functions is considered. Using the property ofM-matrix and a generalized Lyapunov-like approach, the uniqueness is proved for state solutions and corresponding output solutions, and equilibrium point and corresponding output equilibrium point of considered neural networks. Meanwhile, global exponential stability of equilibrium point is obtained. Furthermore, by contraction mapping principle, the uniqueness and globally exponential stability of limit cycle are given. Finally, an example is given to illustrate the effectiveness of the obtained results.

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43

Elgindi, M. B. M. "Existence and uniqueness of equilibrium states of a rotating elastic rod." International Journal of Mathematics and Mathematical Sciences 17, no. 2 (1994): 315–22. http://dx.doi.org/10.1155/s0161171294000451.

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A flexible rod is rotated from one end. The equilibrium equation is a fourth order nonlinear two-point boundary value problem which depends on two parametersλandαrepresenting the importance of centrifugal effects to flexural rigidity and the angle between the rotation axis and the clamped end, respectively. Previous studies on the existence and uniqueness of solution of the equilibrium equation assumedα=0. Among the findings of these studies is the existence of a critical valueλcbeyond which the uniqueness of the trivial solution is lost. The computations ofλcrequired the solution of a nonlinear bifurcation problem. On the other hand, this work is concerned with the existence and uniqueness of solution of the equilibrium equation whenα≠0and in particular in the computations of a critical valueλcsuch that the equilibrium equation has a unique solution for eachα≠0providedλ<λc. For smallα≠0this requires the solution of a nonlinear perturbed bifurcation problem.

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44

Kirkby, Robert. "BEWLEY–HUGGETT–AIYAGARI MODELS: COMPUTATION, SIMULATION, AND UNIQUENESS OF GENERAL EQUILIBRIUM." Macroeconomic Dynamics 23, no. 06 (March 27, 2018): 2469–508. http://dx.doi.org/10.1017/s1365100517000761.

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This paper provides conditions under which an algorithm for the computation and simulation of Bewley–Huggett–Aiyagari models, based on state-space discretization, will converge to all true solutions. These conditions are shown to be satisfied in two standard examples: the Aiyagari model and its extension to endogenous labor. Bewley–Huggett– Aiyagari models are general equilibrium models with incomplete markets and idiosyncratic, but no aggregate, shocks. The algorithm itself is based on discretization, while the theory importantly allows for making simulations using the approximate computational solution of the value function problem rather than the true model solution. The numerical results of applying the algorithm to both models are provided and investigated in terms of replication, revealing that the Aiyagari model overestimates the degree of precautionary savings in the high-risk-and-high-risk-aversion case. The results also show that both models almost certainly have a unique general equilibrium. Theoretically, the existence of equilibria was known, but uniqueness remained an open question.

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45

ALTMAN, EITAN, HISAO KAMEDA, and YOSHIHISA HOSOKAWA. "NASH EQUILIBRIA IN LOAD BALANCING IN DISTRIBUTED COMPUTER SYSTEMS." International Game Theory Review 04, no. 02 (June 2002): 91–100. http://dx.doi.org/10.1142/s0219198902000574.

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The use of game theoretical techniques has been quite successful in describing routing in networks, both in road traffic applications as well as in telecommunication networks applications. We study in this paper a third area of applications of such games, which is load balancing in distributed computer systems. One of the most important questions that arise in all applications of routing games is the existence and uniqueness of equilibrium. Whereas the existence of Nash equilibrium is known for general models of networks under weak assumptions, uniqueness results are only known for very special applications, i.e., either for very special cost functions or for very special topologies. We establish in this paper the uniqueness of an equilibrium for routing games with topologies that model well distributed computer systems, under quite general assumptions on the costs.

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46

Hellwig, Christian, Arijit Mukherji, and Aleh Tsyvinski. "Self-Fulfilling Currency Crises: The Role of Interest Rates." American Economic Review 96, no. 5 (November 1, 2006): 1769–87. http://dx.doi.org/10.1257/aer.96.5.1769.

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We develop a model of currency crises, in which traders are heterogeneously informed, and interest rates are endogenously determined in a noisy rational expectations equilibrium. In our model, multiple equilibria result from distinct roles an interest rate plays in determining domestic asset market allocations and the devaluation outcome. Except for special cases, this finding is not affected by the introduction of noisy private signals. We conclude that the global games results on equilibrium uniqueness do not apply to market-based models of currency crises.

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47

Vujovic, Vuk, and Marija Krstic. "Stability of stochastic model for Hepatitis C transmission with an isolation stage." Filomat 34, no. 14 (2020): 4795–809. http://dx.doi.org/10.2298/fil2014795v.

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In this paper we construct and investigate stability features of two stochastic hepatitis C models with an isolation stage which are obtained by an introduction of stochastic perturbations into the deterministic model for hepatitis C with an isolation stage. One of the stochastic models has only disease- free equilibrium and the other endemic equilibrium state. Aforementioned equilibriums belong to the equilibriums of corresponding deterministic system. For both of models, first of all, we prove the existence and uniqueness of global positive stochastic solution. Thereafter, by using suitable Lyapunov functions, we investigate stability properties of both models. We close the paper with numerical simulation with reliable data of hepatitis C transmission to illustrate our theoretical results.

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48

Dzhabarova, Yulia, Stanimir Kabaivanov, Margarita Ruseva, and Boyan Zlatanov. "Existence, Uniqueness and Stability of Market Equilibrium in Oligopoly Markets." Administrative Sciences 10, no. 3 (September 6, 2020): 70. http://dx.doi.org/10.3390/admsci10030070.

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In this paper we build a pragmatic model on competition in oligopoly markets. To achieve this goal, we use an approach based on studying the response functions of each market participant, thus making it possible to address both Cournot and Bertrand industrial structures with a unified formal method. In contrast to the restrictive theoretical constructs of duopoly equilibrium, our study is able to account for real-world limitations like minimal sustainable production levels and exclusive access to certain resources. We prove and demonstrate that by using carefully constructed response functions it is possible to build and calibrate a model that reflects different competitive strategies used in extremely concentrated markets. The response functions approach makes it also possible to take into consideration different barriers to entry. By fitting to the response functions rather than the profit maximization of the payoff functions problem we alter the classical optimization problem to a problem of coupled fixed points, which has the benefit that considering corner optimum, corner equilibria and convexity condition of the payoff function can be skipped.

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49

Mantovi, Andrea. "On luxury and Equilibrium." Review of Economic Analysis 6, no. 2 (April 11, 2015): 87–118. http://dx.doi.org/10.15353/rea.v6i2.1414.

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Building on a class of transcendental preferences for luxury, explicit solutions for price taking behavior and exchange equilibrium are discussed, which share the analytical tractability of Cobb-Douglas models. Such economies display fundamental positive properties, among which uniqueness and price tâtonnement stability of equilibrium. The monotone comparative statics of the luxury effect is discussed. Pareto sets admit a simple characterization, which generalizes the one set forth by Afriat (1987) so that a richer phenomenology is embraced. Potential lines of progress are envisaged.

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50

Arbieto, Alexander, and Luciano Prudente. "Uniqueness of equilibrium states for some partially hyperbolic horseshoes." Discrete & Continuous Dynamical Systems - A 32, no. 1 (2012): 27–40. http://dx.doi.org/10.3934/dcds.2012.32.27.

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