scholarly journals A Mathematical Model of Communication with Reputational Concerns

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Ce Huang ◽  
Yuanyuan Zhang ◽  
Chong Lai
Keyword(s):  
Mathematical Model ◽  
Decision Maker ◽  
Decision Problem ◽  
The One ◽  
Reputational Concerns

We investigate a mathematical model where an expert advises a decision maker for two periods. The decision maker is initially unsure about whether the expert is biased or not. After consulting the expert on the decision problem of period one, the decision maker updates belief about the expert’s bias and consults the expert on the problem of period two. We find that more information is delivered in the model’s first period than in the one-period situation of communication.

scholarly journals Two Remarks on Blackwell's Theorem

2008 ◽  
Vol 45 (02) ◽  
pp. 580-586 ◽  
Author(s):  
Ehud Lehrer ◽  
Eran Shmaya
Keyword(s):  
Decision Maker ◽  
Information Structure ◽  
Decision Problem ◽  
Partial Information ◽  
The Other ◽  
Actual State ◽  
Information Structures ◽  
Comparison Of Experiments ◽  
Classical Characterization ◽  
Blackwell's Theorem

In a decision problem with uncertainty a decision maker receives partial information about the actual state via an information structure. After receiving a signal, he is allowed to withdraw and gets zero profit. We say that one structure is better than another when a withdrawal option exists if it may never happen that one structure guarantees a positive profit while the other structure guarantees only zero profit. This order between information structures is characterized in terms that are different from those used by Blackwell's comparison of experiments. We also treat the case of a malevolent nature that chooses a state in an adverse manner. It turns out that Blackwell's classical characterization also holds in this case.

scholarly journals The Study of a Mathematical Model in Information Acquisition and Disclosure

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Ce Huang
Keyword(s):  
Mathematical Model ◽  
Decision Maker ◽  
Information Acquisition ◽  
Disclosure Strategy ◽  
Withholding Information

A mathematical model involving a decision maker and an expert is investigated. Through analyzing the model, we obtain several results on the expert’s information acquisition and disclosure strategy. When withholding information is costly to the expert, in equilibrium, an expert with a higher withholding cost acquires less information but discloses more acquired information. We also examine which expert is optimal to the decision maker among a group of experts with different costs of withholding information.

scholarly journals Resolving Time Inconsistency of Decision Problem with Non-expectation Operator: From Internal Conflict to Internal Harmony by Strategy of Self-Coordination

2020 ◽  
Author(s):  
Xiangyu Cui ◽  
Duan Li ◽  
Yun Shi
Keyword(s):  
Decision Maker ◽  
Decision Problem ◽  
Hyperbolic Discounting ◽  
Time Inconsistency ◽  
Internal Conflict ◽  
Equilibrium Strategy ◽  
Game Model ◽  
Long Run ◽  
Short Run ◽  
Time Inconsistent

When a stochastic decision problem is time inconsistent, the decision maker would be puzzled by his conflicting decisions optimally derived from his time-varying preferences at different time instants (with different time horizons). While the long-run self (LR) of the decision maker pursues the long-term optimality, the short-run selves (SRs) of the decision maker at different time instants bow to short-term temptations. While the literature began to recognize the importance to strike a balance between LR's and SRs' interests, the existing results are not applicable to situations where the decision maker's preferences involve non-expectation operators. We propose an operable unified two-tier dual-self game model with commitment by punishment, which can cope with general time inconsistent stochastic decision problems with both expectation and non-expectation operators in the objective function. By attaching punishment terms to both the preferences of LR and SRs which quantitatively evaluate the internal conflict among different selves, our game model aligns the interests of the LR and SRs to a certain degree. The equilibrium strategy, termed strategy of self-coordination, achieves some degree of internal harmony among various selves. We successfully apply the model to the investment and consumption problem with quasi-hyperbolic discounting and the dynamic mean-variance portfolio selection problem.

scholarly journals Spreading of chemical substance after its accidental spillage onto the soil surface under unsaturated conditions and variable porosity

2019 ◽  
pp. 41-44
Author(s):  
Olena Kozhushko ◽  
Petro Martyniuk
Keyword(s):  
Mathematical Model ◽  
Soil Moisture ◽  
Soil Profile ◽  
Moisture Transport ◽  
Soil Surface ◽  
Chemical Substance ◽  
High Concentration ◽  
Solute Transfer ◽  
Variable Porosity ◽  
The One

In this paper we study a mathematical model of soil moisture transport with variable porosity. The problem is set for the case of highly concentrated solute spilled onto soil surface. We investigate the way solute transfer, adsorption of contaminant by soil particles and variable porosity influence infiltration of solute into the soil profile. For that purpose, two models are used: a classical one and the one with consideration of mentioned factors. By comparing the results of both models, we established that high concentration of solute causes moisture transport to transpire more slowly, and the pollutant to remain on the soil surface for longer time. Numerical results indicate that porosity can vary considerably under the conditions of intensive contamination with salts.

Possibility of Evaluating a Depth of Defects as a Hole in a Composite Dielectric Sample by the Parameters of Electric Response to Pulse Mechanical Excitation

2018 ◽  
Vol 781 ◽  
pp. 155-158 ◽  
Author(s):  
Petr Khorsov ◽  
Anatoly Surzhikov ◽  
Vladimir Surzhikov ◽  
Roman Laas
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Response ◽  
Electric Response ◽  
One Dimensional ◽  
Response Parameter ◽  
Dielectric Sample ◽  
Receiver System ◽  
Mechanoelectrical Transformations ◽  
Spurious Component ◽  
The One

The applicability of the method mechanoelectrical transformations (MET) to determine the depth of the macrodefects location in the sample on parameters of the electromagnetic response is evaluated. As the response parameter it was used the phase characteristic of the signal analytical representation.On the one-dimensional mathematical model it was shown the possibility to detect phase response changes when reflected from defect acoustic wave is mixed with the signal spurious component generated by a distributed MET sources. Experimental verification of mathematical model on a sample of concrete was conducted. It has been shown that the sensitivity of the method MET to evaluation of the macrodefect locate depth depends on the wavelength of the excitation pulse and the area of the macrodefect border closest to the emitter-receiver system.

scholarly journals IT IS NL-COMPLETE TO DECIDE WHETHER A HAIRPIN COMPLETION OF REGULAR LANGUAGES IS REGULAR

2011 ◽  
Vol 22 (08) ◽  
pp. 1813-1828 ◽  
Author(s):  
VOLKER DIEKERT ◽  
STEFFEN KOPECKI
Keyword(s):  
Polynomial Time ◽  
Dna Computing ◽  
Regular Language ◽  
Decision Problem ◽  
Polynomial Time Algorithm ◽  
Time Algorithm ◽  
Complexity Bound ◽  
The One ◽  
Context Free ◽  
Hairpin Formation

The hairpin completion is an operation on formal languages which is inspired by the hairpin formation in biochemistry. Hairpin formations occur naturally within DNA-computing. It has been known that the hairpin completion of a regular language is linear context-free, but not regular, in general. However, for some time it is was open whether the regularity of the hairpin completion of a regular language is decidable. In 2009 this decidability problem has been solved positively in [5] by providing a polynomial time algorithm. In this paper we improve the complexity bound by showing that the decision problem is actually NL-complete. This complexity bound holds for both, the one-sided and the two-sided hairpin completions.

Location of a multinational corporation in a cluster

2016 ◽  
Vol 24 (2) ◽  
pp. 144-167 ◽  
Author(s):  
Dorota Leszczyńska ◽  
Erick Pruchnicki
Keyword(s):  
Mathematical Model ◽  
Knowledge Transfer ◽  
Tacit Knowledge ◽  
Mathematical Expression ◽  
Decision Criterion ◽  
Specific Knowledge ◽  
Content Type ◽  
The One ◽  
Effective Transfer ◽  
The Impact

Purpose A multinational company (MNC) looking to locate within a cluster is mainly interested in gaining access to scarce and highly valuable tacit knowledge. The transfer of such resources first requires sharing a certain degree of architectural and specific knowledge. This paper aims to examine the transfer of systemic technological expertise (specific tacit knowledge) that is incorporated into organisational practices (architectural knowledge). To quantify the level of knowledge transfer involved, the present study defines the architectural distance between the MNC and the cluster. Design/methodology/approach The mathematical expression of acquisition performance is inferred from a conceptual study that formulates hypotheses regarding the impact of these variables on knowledge transfer. The MNC chooses its location in such a way as to maximise this performance. Findings Applying a mathematical model to knowledge transfer between two of the MNC units helps to determine if the locally acquired knowledge could benefit other units of the MNC. Research limitations/implications The present study defines the architectural distance between the MNC and the cluster. This architectural distance is defined by a vector composed of social, organisational, cultural, institutional, technological and geographic distances between the new acquisition and its network of local partners, on the one hand, and the MNC, on the other. Knowledge transfer also depends on the business players’ trust and motivation. Further research through a quantitative study would be useful to improve the links between the proposed mathematical model and the efficiency of an MNC’s location within a cluster. Practical implications The solution to the optimisation problem allows to put forward a simple decision criterion to assist a manager who has to face the problem of an optimal location choice. Originality/value First, this study contributes to a better understanding of how knowledge transfer effects may interact with cluster effects, while explaining a subsidiary’s performance with regard to location. Second, it provides an interpretation of the concept of knowledge embeddedness by showing that the effective transfer of architectural and specific knowledge involves the prior sharing of a certain amount of this knowledge.

The Rationality of Probabilities for Actions in Decision Theory

1998 ◽  
pp. 32-37
Author(s):  
Marion Ledwig
Keyword(s):  
Decision Theory ◽  
Decision Maker ◽  
Decision Model ◽  
The Other ◽  
Subjective Probabilities ◽  
Newcomb’S Problem ◽  
Freedom Of The Will ◽  
The Will ◽  
The One ◽  
The Given

Spohn's decision model, an advancement of Fishburn's theory, is valuable for making explicit the principle used also by other thinkers that 'any adequate quantitative decision model must not explicitly or implicitly contain any subjective probabilities for acts.' This principle is not used in the decision theories of Jeffrey or of Luce and Krantz. According to Spohn, this principle is important because it has effects on the term of action, on Newcomb's problem, and on the theory of causality and the freedom of the will. On the one hand, I will argue against Spohn with Jeffrey that the principle has to be given up. On the other, I will try to argue against Jeffrey that the decision-maker ascribes subjective probabilities to actions on the condition of the given decision situation.

Fuzzy Rationality in Quantitative Decision Analysis

2005 ◽  
Vol 9 (1) ◽  
pp. 65-69 ◽  
Author(s):  
Natalia Nikolova ◽  
◽  
Aleksei Shulus ◽  
Daniela Toneva ◽  
Kiril Tenekedjiev ◽  
...  
Keyword(s):  
Decision Analysis ◽  
Decision Maker ◽  
Decision Makers ◽  
Actual Process ◽  
Subjective Probabilities ◽  
Uncertainty Interval ◽  
The Real ◽  
Elicitation Process ◽  
The One

The paper presents a discussion on fuzzy rationality in the elicitation of subjective probabilities and utilities. In addition to previous research, two functions, measuring the degree of preference of the real decision maker on both sides of the uncertainty interval are introduced, and their relationship with the indifference function, measuring the degree of indifference of the decision maker over gambles, is analyzed and graphically interpreted. A new relation -- hesitation -- is introduced to give a better description of the actual process of subjective elicitation by real decision makers. The influence of the preference-hesitation combination in an elicitation process is presented graphically, and it is argued that the resulting uncertainty interval is much tighter than the one, resulting from the preference-indifference based elicitation.

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