Algorithmization of prospect theory - the problem of decision weights - Project - Bridge of Knowledge

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Algorithmization of prospect theory - the problem of decision weights

The project concerns the theory of choice under risk, in particular the prospect theory of D. Kahneman and A. Tversky, and aspects of its use in empirical economics studies. The applicability of the model depends on its algorithmization. The research project aims to assess the adequacy of the CPT algorithm (cumulative prospect theory) for modeling the classical prospect theory. Part of the CPT algorithm concerning value function (valuation of monetary outcomes) is consistent with the classical prospect theory, therefore, the subject of research is focused on the decision weighting procedure. To assess the correctness of the decision weighting algorithm, two major research problems were formulated.
Problem 1. Investigating the impact of the applied decision weighing algorithm on the results of the model estimation for experimental data.
Problem 2. Examining the justification for the subjective valuation of the cumulative probabilities for profits and losses separately.

The research is based on the experimental method. Two experimental studies will be conducted, each involving students as research participants. The first experiment concerns the repeated binary choice under risk. The choice is over the pairs of lotteries. The experimental results will be analyzed using econometric methods – random effects models for multiple binary responses.

The second experiment will address the valuation of subjective probabilities, in particular in the context of losses and mixed lotteries. The experiment consists of two stages. The first stage aims to assess the probability weighting function using the certainty equivalent method in both contexts: the positive and negative outcomes (gains and losses), and also for mixed lotteries. The second phase of the experiment will be based on a series of questions about the assessment of chances of different scenarios - referring to gains and losses. Respondents will be asked to make subjective probabilities assessments of events described by the scenes from different areas of life - finance, insurance, health, etc.

So far, the CPT algorithm has been the subject of numerous studies, but according to the authors’ knowledge, the research problem was not formulated as in the Project. In previous studies, one can find research concerning the relationship between risk aversion in the value function and optimism in the probability weighting function. Some claim that there is exchangeability between those two effects. However, no research was encountered on the mutual offsetting of the reflection effect in the value function and analogous effect in the decision weighting algorithm.

In the case of a positive hypotheses verification, the results of the project may have an impact on the development of the choice theory under risk in the field of prospect theory modeling. The results would justify the claim for separating the classical prospect theory from the cumulative prospect theory and treating those two as different concepts. That would support the conclusion, that CPT is not just the algorithm for the prospect theory, and that one may use different, perhaps simpler, algorithms as adequately model prospect theory. Such simplification can help to facilitate and increase the use of modeling based on the prospect theory in the field of economics studied (finance, insurance, etc.). It would also lead to the recommendation of reconsidering (or being careful with) the past results reporting the lack of reflection effect in the value function when the results were analyzed with the CPT algorithm.

Details

Financial Program Name:
SONATA
Organization:
Narodowe Centrum Nauki (NCN) (National Science Centre)
Agreement:
2016/23/D/HS4/02365 z dnia 2017-07-07
Realisation period:
2017-07-07 - 2022-07-06
Research team leader:
dr Elzbieta Babula
Team members:
  • project participant dr Sylwia Machowska-Okrój
  • project participant mgr Agata Olechnowicz-Szewczyk
  • project participant mgr Bartłomiej Babiński
  • project participant dr Juhyun Park
  • project participant dr Dagmara Wach
  • project participant dr Urszula Mrzygłód
  • project participant dr Marek Kołatka
  • project participant mgr Maciej Kos
Realised in:
Wydział Ekonomiczny
Project's value:
188 565.00 PLN
Request type:
National Research Programmes
Domestic:
Domestic project
Verified by:
No verification

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