Games with Costly Winnings

2017 ◽  
Vol 19 (04) ◽  
pp. 1750016 ◽  
Author(s):  
Irit Nowik ◽  
Tahl Nowik

We introduce a new sequential game, where each player has a limited resource that he needs to spend on increasing the probability of winning each stage, but also on maintaining the assets that he has won in the previous stages. Thus, the players’ strategies must take into account that winning at any given stage negatively affects the chances of winning in later stages. Whenever the initial resources of the players are not too small, we present explicit strategies for the players, and show that they are a Nash equilibrium, which is unique in an appropriate sense.

Author(s):  
Jel’shan Medzhidov

Introduction. The paper attempts to analyze possible and probable strategic moves of the primary and secondary actors in the Armenia-Azerbaijan Nagorno-Karabakh conflict. Methods. To analyze this conflict the author uses the mathematical theory of games and some mathematical models and methods. The main methods and models include the following: Nash equilibrium, sequential game, Zermelos theorem, Zermelo-Kuno algorithm, and games with commitments. As the publication is an analytical and computational work, it mainly includes literature related to methodology and theory. Analysis. The publication not only contains the analysis of the strategic interactions between Armenia and Azerbaijan as primary actors, but also includes Russia as a secondary participant. Results. As a result, the author has drawn several conclusions. Firstly, the strategic interactions between two actors differ from strategic interactions among three actors in terms of possible payments and preferences. Secondly, in the strategic interactions between Armenia and Azerbaijan, the most likely interaction profile will be “A2 , B1 -C2 ” (not recognizing the independence of Nagorno Karabakh and not declaring war on Armenia) with a payment of “0:0”. The third conclusion is on the qualitative difference between the sequential game and the game with commitments among Armenia, Azerbaijan and Russia. In the second case, the Nash equilibrium consists of not recognizing the separatist regime by Armenia, not supporting Russia’s desire for Armenia to recognize and not declaring war on Armenia: SPNE = {E2, R4, A8}. However, unlike the first option, the equilibrium obtained in the game with commitments takes on a more stable structure in relation to different political processes.


2011 ◽  
pp. 65-87 ◽  
Author(s):  
A. Rubinstein

The article considers some aspects of the patronized goods theory with respect to efficient and inefficient equilibria. The author analyzes specific features of patronized goods as well as their connection with market failures, and conjectures that they are related to the emergence of Pareto-inefficient Nash equilibria. The key problem is the analysis of the opportunities for transforming inefficient Nash equilibrium into Pareto-optimal Nash equilibrium for patronized goods by modifying the institutional environment. The paper analyzes social motivation for institutional modernization and equilibrium conditions in the generalized Wicksell-Lindahl model for patronized goods. The author also considers some applications of patronized goods theory to social policy issues.


Author(s):  
Masayuki Suzuki ◽  
Ryuki Tachibana ◽  
Samuel Thomas ◽  
Bhuvana Ramabhadran ◽  
George Saon

1986 ◽  
Vol 18 (7-8) ◽  
pp. 33-40
Author(s):  
K. M. Minnatullah

Nearly 80% of all illness in Bangladesh is related to water and sanitation. The combined rate of enteric diseases in Bangladesh is the highest in the world. 30% of all the deaths of children under 5 are due to diarrhoea, claiming more than 200,000 lives annually. Environmentally sound human waste management, along with personal hygiene awareness, are of critical importance to the prevention of faecal-oral disease transmission. present rural sanitation coverage is about 3%. A national target has been set to ensure that 13% of the rural poor will be covered under the human waste management programme by 1990, the end of the U.N. Water Decade. This however, contrasts with the similar target of 77% for the rural water supply programme, which received higher resource allocation and priority for a much longer period. This lack of correlation between water and sanitation has highly reduced the positive health impact of these developments. An affordable human waste management programme for the rural people, where 87% of the total population lives under conditions of the greatest poverty and underdevelopment, urgently needs serious and realistic consideration in the context of the limited resource prospects for future years. This report addresses the above issues and describes the commendable momentum that has been gained through the continuous efforts of national planners and policy makers. It is hoped that this might in the near future, through the rural human waste management programme, produce the long desired continual reduction of faecal-oral disease transmission.


1989 ◽  
Vol 21 (3) ◽  
pp. 43-47 ◽  
Author(s):  
Joan B. Rose ◽  
Ricardo De Leon ◽  
Charles P. Gerba

Arizona, located in the arid Southwestern United States, is heavily dependent on groundwater. In order to protect this limited resource, wastewater reuse has been implemented. Virus and Giardia monitoring of wastewater used for irrigation has also been initiated as a means for controlling the public's exposure to these pathogens. Treatment facilities must produce wastewater with no detectable Giardia cysts and one virus plaque forming unit (pfu) per 40 liters (L) for unrestricted reuse. For restricted reuse, 125 pfu/40 L is allowed. Methods based on filtration were used to monitor facilities at monthly, quarterly or biannual frequencies. Results after two years of monitoring are presented. All 11 treatment facilities produced water meeting the virus standard of 125 pfu/40 L. Only plants which used sand filtration and disinfection achieved consistent levels of virus below 1 pfu/40 L. Out of 70 samples, 74% contained no detectable viruses. Giardia was detected in 29 to 50% of the samples. Most plants would need to upgrade their treatment in order to meet standards for unrestricted irrigation.


Author(s):  
Yuvaraj Natarajan ◽  
Srihari Kannan ◽  
Gaurav Dhiman

Background: Cloud computing is a multi-tenant model for computation that offers various features for computing and storage based on user demand. With increasing cloud users, the usage increases that highlights the problem of load balancing with limited resource availability based on dynamic cloud environment. In such cases, task scheduling creates fundamental issue in cloud environment. Introduction: Certain problems such as, inefficiencies in load balancing latency, throughput ratio, proper utilization of the cloud resources, better energy consumption and response time have been observed. These drawbacks can be efficiently resolved through the incorporation of efficient load balancing and task scheduling strategies. Method: In this paper, we develop an efficient co-operative method to solve the most recent approaches against load balancing and task scheduling have been proposed using Ant Colony Optimization (ACO). These approaches enables in the clear cut identification of the problems associated with the load balancing and task scheduling strategies in the cloud environment. Results: The simulation is conducted to find the efficacy of the improved ACO system for load balancing in cloud than the other methods. The result shows that the proposed method obtains reduced execution time, reduced cost and delay. Conclusion: A unique strategic approach is developed in this paper, Load Balancing, which works with the ACO in relation to the cloud workload balancing task through the incorporation of the ACO technique. The strategy for determining the applicant nodes is based on which the load balancing approach would essentially depend. By incorporating two different approaches: the maximum minute rules and the forward-backward ant, this reliability task can be established. This method is intended to articulate the initialization of the pheromone and thus upgrade the relevant cloud-based physical properties.


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