Math. Model. Nat. Phenom.
Volume 16, 2021
Mathematical Models and Methods in Epidemiology
|Number of page(s)||11|
|Published online||23 March 2021|
Owner-Intruder contests with information asymmetry
Department of Biology, Virginia Commonwealth University,
VA 23284-2012, USA.
2 Department of Biomedical Engineering, Virginia Commonwealth University, Richmond, VA 23284-3068, USA.
3 Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284-2014, USA.
* Corresponding author: firstname.lastname@example.org
Accepted: 16 January 2021
We consider kleptoparasitic interactions between two individuals – the Owner and the Intruder – and model the situation as a sequential game in an extensive form. The Owner is in possession of a resource when another individual, the Intruder, comes along and may try to steal it. If the Intruder makes such a stealing attempt, the Owner has to decide whether to defend the resource; if the Owner defends, the Intruder can withdraw or continue with the stealing attempt. The individuals may value the resource differently and we distinguish three information cases: (a) both individuals know resource values to both of them, (b) individuals know only their own valuation, (c) individuals do not know the value at all. We solve the game in all three cases. We identify scenarios when it is beneficial for the individuals to know as much information as possible. We also identify several scenarios where knowing less seems better as well as show that an individual may not benefit from their opponent knowing less. Finally, we consider the same kind of interactions but without the option for the Intruder to withdraw. We find that, surprisingly, the Intruder typically fares better in that case.
Mathematics Subject Classification: 91A05 / 91A40 / 91A22
Key words: Game theory / kleptoparasitism / resource valuation / information asymmetry
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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