1. INNOVATION PROCESS SIMULATION ON
THE BASE OF PREDATOR AND PREY
MODEL.
Victor Romanov
Bulat Akhmadeev
Helen Agafonova
Saltanat Sandybaeva
Russian Plekhanov University of Economics
2. Content
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“Predator-Prey” model with taxes and
donations
Simulation results
Hunger in the emotions and feelings
simulation model
“Predator and preey” Concept,
Based On Lotka-Volterra
Literature review
The problem actuality
3. The problem actuality
•The paper is devoted to the simulation of two
populations coexistence, one of which represents
old big corporations and the other one – small
innovative business.
• It contains as a review of emotion simulating
research as some original results on the innovation
simulation based on predator and prey model.
•For instance, we can consider large company, which
faces some troubles, as feeling some hunger and to
satisfy it, the company tries to absorb some other
smaller firm.
4. Literature review
• Modeling social groups and government like hierarchical social
structures are often based on such emotions as understanding and
sympathy. Dissimilarity and rave are applied in conflict modeling.
• Separately it is worth mentioning hunger emotion modeling as the
feeling lack of energy and pursuit of fulfilling it through absorption
of
weaker representatives of another species.
• The emotional state as an m-dimensional vector, where all m
emotion intensities are represented by a value in the interval [0,
1].
• Joy emotion may be described as:
Joyἰ φ= Belἰ φ ∧ Goalἰ φ, where
Belἰφ : agent ἰ believes that φ;
Goalἰφ: agent ἰ wants φ to be true.
This can be explained as following: agent ἰ feels joy about φ if and
only if ἰ believes that φ is true and wants φ to be true.
5. HUNGER IN THE EMOTIONS AND FEELINGS
SIMULATION MODEL-1
•The hunger as a feeling because at the time when individual is
hungry, he/she directs the most of the forces on its quenching
and all actions are determined for this purpose.
•In this model, two participants coexist. Primarily, the
company-predator. It is a big enough and successful
corporation, but it has its vulnerable "narrow" places that it
seek to compensate by absorption of a small business.
•The second equally important participant - just a small
business, in particular cases it can be a start-up. It is a “prey”.
•In addition to the main representatives of this process there is
also a and “state” or registry - some database from which the
corporation will choose the most suitable target company-
prey for itself.
6. Hunger in the emotions and feelings
simulation model-2
“Predators” must go through the following steps:
1) Primarily determined that company-predator begins to
experience "hunger", i.e. there is a drop in profits because of
the reducing the effectiveness of any of its divisions, branches,
etc., or thereof combinations.
2) “Predator” evaluates its real strategic plan, it must be a plan of
merger or acquisition of enterprises.
3) Predator” establishes for itself the basic indicators that it
wants to achieve by including some new enterprise in its
structure.
4) In order to have a successful merger or acquisition it is usually
chosen not the leader in a particular industry or a particular
geographic market, etc., and at the same time not the
weakest company, but second or third in terms of efficiency.
7. “PREDATOR AND PREY” CONCEPT BASED ON
LOTKA-VOLTERRA MODEL
• In our interpretation the Lotka-Volterra equations for this Predatory-
Prey model counts rabbits and foxes' population depending on various
factors. In this paper will be regarded foxes as huge corporations. In
order to survive and prosper they feed on rabbits (start-ups).
• We had made some shanges in the classic model, namely the
government taxes huge companies (foxes ) and provides donations) to
rabbits (start-ups).
• The program interface makes possible for user enter data about rabbit
and fox birth rate, initial rabbit and fox population. In addition,
coefficients of predation rate and fox death rate should be specified.
Finally, user sets desirable tax level and the level of subsidies.
• Onward different situations of population growth are shown, using
various parameters of birth and death rate; taxes, donations and
leakage rate, etc. In Fig. 2 there is shown situation when the growth of
foxes and rabbits population is weak
12. Unstable condition. Due to high taxation, the population of foxes is small;
the situation with rabbits is opposite.
Unstable condition. Due to high taxation,
the population of foxes is small, the
situation with rabbits is opposite
13. For some levels of taxation and donation both
foxes and rabbits population are growing
exponentially
15. CONCLUSION AND FUTURE
WORK
• The most important result of our research is demonstration of
existence such parameters values interval in which great firms
and small businesses (start-ups) can grow and raise
simultaneously. But this interval is quite narrow, so that even
the slightest change (i.e. the change in the tax and subsidies, in
our case) can lead to adverse situations in the virtual economy,
such as the complete disappearance of large or small
companies, or both.
• Our future work will focus on the improving of this program.The
aim is to investigate a feeling of hunger onwards, considering
other situations that arise in the market economy by using
different coefficients, parameter values and options of our
application. In addition, plans to introduce new parameters
needed for research. Moreover, this paper inspired us to study
some new emotions and feelings from position logic in future
and formalized them, using in different models of the economy
and other important knowledge areas.
